xref: /petsc/src/mat/impls/aij/mpi/mumps/mumps.c (revision e94cce230785753b2d7146ce7eed69ac42256b00)
1 
2 /*
3     Provides an interface to the MUMPS sparse solver
4 */
5 
6 #include <../src/mat/impls/aij/mpi/mpiaij.h> /*I  "petscmat.h"  I*/
7 #include <../src/mat/impls/sbaij/mpi/mpisbaij.h>
8 #include <petscblaslapack.h>
9 
10 EXTERN_C_BEGIN
11 #if defined(PETSC_USE_COMPLEX)
12 #if defined(PETSC_USE_REAL_SINGLE)
13 #include <cmumps_c.h>
14 #else
15 #include <zmumps_c.h>
16 #endif
17 #else
18 #if defined(PETSC_USE_REAL_SINGLE)
19 #include <smumps_c.h>
20 #else
21 #include <dmumps_c.h>
22 #endif
23 #endif
24 EXTERN_C_END
25 #define JOB_INIT -1
26 #define JOB_FACTSYMBOLIC 1
27 #define JOB_FACTNUMERIC 2
28 #define JOB_SOLVE 3
29 #define JOB_END -2
30 
31 /* calls to MUMPS */
32 #if defined(PETSC_USE_COMPLEX)
33 #if defined(PETSC_USE_REAL_SINGLE)
34 #define PetscMUMPS_c cmumps_c
35 #else
36 #define PetscMUMPS_c zmumps_c
37 #endif
38 #else
39 #if defined(PETSC_USE_REAL_SINGLE)
40 #define PetscMUMPS_c smumps_c
41 #else
42 #define PetscMUMPS_c dmumps_c
43 #endif
44 #endif
45 
46 /* declare MumpsScalar */
47 #if defined(PETSC_USE_COMPLEX)
48 #if defined(PETSC_USE_REAL_SINGLE)
49 #define MumpsScalar mumps_complex
50 #else
51 #define MumpsScalar mumps_double_complex
52 #endif
53 #else
54 #define MumpsScalar PetscScalar
55 #endif
56 
57 /* macros s.t. indices match MUMPS documentation */
58 #define ICNTL(I) icntl[(I)-1]
59 #define CNTL(I) cntl[(I)-1]
60 #define INFOG(I) infog[(I)-1]
61 #define INFO(I) info[(I)-1]
62 #define RINFOG(I) rinfog[(I)-1]
63 #define RINFO(I) rinfo[(I)-1]
64 
65 typedef struct {
66 #if defined(PETSC_USE_COMPLEX)
67 #if defined(PETSC_USE_REAL_SINGLE)
68   CMUMPS_STRUC_C id;
69 #else
70   ZMUMPS_STRUC_C id;
71 #endif
72 #else
73 #if defined(PETSC_USE_REAL_SINGLE)
74   SMUMPS_STRUC_C id;
75 #else
76   DMUMPS_STRUC_C id;
77 #endif
78 #endif
79 
80   MatStructure matstruc;
81   PetscMPIInt  myid,size;
82   PetscInt     *irn,*jcn,nz,sym;
83   PetscScalar  *val;
84   MPI_Comm     comm_mumps;
85   PetscBool    isAIJ;
86   PetscInt     ICNTL9_pre;           /* check if ICNTL(9) is changed from previous MatSolve */
87   VecScatter   scat_rhs, scat_sol;   /* used by MatSolve() */
88   Vec          b_seq,x_seq;
89   PetscInt     ninfo,*info;          /* display INFO */
90   PetscInt     sizeredrhs;
91   PetscInt     *schur_pivots;
92   PetscInt     schur_B_lwork;
93   PetscScalar  *schur_work;
94   PetscScalar  *schur_sol;
95   PetscInt     schur_sizesol;
96   PetscBool    schur_factored;
97   PetscBool    schur_inverted;
98   PetscInt     schur_sym;
99 
100   PetscErrorCode (*Destroy)(Mat);
101   PetscErrorCode (*ConvertToTriples)(Mat, int, MatReuse, int*, int**, int**, PetscScalar**);
102 } Mat_MUMPS;
103 
104 extern PetscErrorCode MatDuplicate_MUMPS(Mat,MatDuplicateOption,Mat*);
105 
106 #undef __FUNCT__
107 #define __FUNCT__ "MatMumpsResetSchur_Private"
108 static PetscErrorCode MatMumpsResetSchur_Private(Mat_MUMPS* mumps)
109 {
110   PetscErrorCode ierr;
111 
112   PetscFunctionBegin;
113   ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
114   ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
115   ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
116   ierr = PetscFree(mumps->schur_pivots);CHKERRQ(ierr);
117   ierr = PetscFree(mumps->schur_work);CHKERRQ(ierr);
118   mumps->id.size_schur = 0;
119   mumps->id.ICNTL(19) = 0;
120   PetscFunctionReturn(0);
121 }
122 
123 #undef __FUNCT__
124 #define __FUNCT__ "MatMumpsFactorSchur_Private"
125 static PetscErrorCode MatMumpsFactorSchur_Private(Mat_MUMPS* mumps)
126 {
127   PetscBLASInt   B_N,B_ierr,B_slda;
128   PetscErrorCode ierr;
129 
130   PetscFunctionBegin;
131   if (mumps->schur_factored) {
132     PetscFunctionReturn(0);
133   }
134   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
135   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
136   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
137     if (!mumps->schur_pivots) {
138       ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
139     }
140     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
141     PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&B_ierr));
142     ierr = PetscFPTrapPop();CHKERRQ(ierr);
143     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr);
144   } else { /* either full or lower-triangular (not packed) */
145     char ord[2];
146     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
147       sprintf(ord,"L");
148     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
149       sprintf(ord,"U");
150     }
151     if (mumps->schur_sym == 2) {
152       if (!mumps->schur_pivots) {
153         PetscScalar  lwork;
154 
155         ierr = PetscMalloc1(B_N,&mumps->schur_pivots);CHKERRQ(ierr);
156         mumps->schur_B_lwork=-1;
157         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
158         PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
159         ierr = PetscFPTrapPop();CHKERRQ(ierr);
160         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr);
161         ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
162         ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
163       }
164       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
165       PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
166       ierr = PetscFPTrapPop();CHKERRQ(ierr);
167       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr);
168     } else {
169       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
170       PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_slda,&B_ierr));
171       ierr = PetscFPTrapPop();CHKERRQ(ierr);
172       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr);
173     }
174   }
175   mumps->schur_factored = PETSC_TRUE;
176   PetscFunctionReturn(0);
177 }
178 
179 #undef __FUNCT__
180 #define __FUNCT__ "MatMumpsInvertSchur_Private"
181 static PetscErrorCode MatMumpsInvertSchur_Private(Mat_MUMPS* mumps)
182 {
183   PetscBLASInt   B_N,B_ierr,B_slda;
184   PetscErrorCode ierr;
185 
186   PetscFunctionBegin;
187   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
188   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
189   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
190   if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
191     if (!mumps->schur_work) {
192       PetscScalar lwork;
193 
194       mumps->schur_B_lwork = -1;
195       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
196       PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,&lwork,&mumps->schur_B_lwork,&B_ierr));
197       ierr = PetscFPTrapPop();CHKERRQ(ierr);
198       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr);
199       ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&mumps->schur_B_lwork);CHKERRQ(ierr);
200       ierr = PetscMalloc1(mumps->schur_B_lwork,&mumps->schur_work);CHKERRQ(ierr);
201     }
202     ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
203     PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&mumps->schur_B_lwork,&B_ierr));
204     ierr = PetscFPTrapPop();CHKERRQ(ierr);
205     if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr);
206   } else { /* either full or lower-triangular (not packed) */
207     char ord[2];
208     if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
209       sprintf(ord,"L");
210     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
211       sprintf(ord,"U");
212     }
213     if (mumps->schur_sym == 2) {
214       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
215       PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,mumps->schur_pivots,mumps->schur_work,&B_ierr));
216       ierr = PetscFPTrapPop();CHKERRQ(ierr);
217       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr);
218     } else {
219       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
220       PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_(ord,&B_N,(PetscScalar*)mumps->id.schur,&B_N,&B_ierr));
221       ierr = PetscFPTrapPop();CHKERRQ(ierr);
222       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr);
223     }
224   }
225   mumps->schur_inverted = PETSC_TRUE;
226   PetscFunctionReturn(0);
227 }
228 
229 #undef __FUNCT__
230 #define __FUNCT__ "MatMumpsSolveSchur_Private"
231 static PetscErrorCode MatMumpsSolveSchur_Private(Mat_MUMPS* mumps, PetscBool sol_in_redrhs)
232 {
233   PetscBLASInt   B_N,B_Nrhs,B_ierr,B_slda,B_rlda;
234   PetscScalar    one=1.,zero=0.;
235   PetscErrorCode ierr;
236 
237   PetscFunctionBegin;
238   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
239   ierr = PetscBLASIntCast(mumps->id.size_schur,&B_N);CHKERRQ(ierr);
240   ierr = PetscBLASIntCast(mumps->id.schur_lld,&B_slda);CHKERRQ(ierr);
241   ierr = PetscBLASIntCast(mumps->id.nrhs,&B_Nrhs);CHKERRQ(ierr);
242   ierr = PetscBLASIntCast(mumps->id.lredrhs,&B_rlda);CHKERRQ(ierr);
243   if (mumps->schur_inverted) {
244     PetscInt sizesol = B_Nrhs*B_N;
245     if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
246       ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
247       ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
248       mumps->schur_sizesol = sizesol;
249     }
250     if (!mumps->sym) {
251       char type[2];
252       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
253         if (!mumps->id.ICNTL(9)) { /* transpose solve */
254           sprintf(type,"N");
255         } else {
256           sprintf(type,"T");
257         }
258       } else { /* stored by columns */
259         if (!mumps->id.ICNTL(9)) { /* transpose solve */
260           sprintf(type,"T");
261         } else {
262           sprintf(type,"N");
263         }
264       }
265       PetscStackCallBLAS("BLASgemm",BLASgemm_(type,"N",&B_N,&B_Nrhs,&B_N,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
266     } else {
267       char ord[2];
268       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
269         sprintf(ord,"L");
270       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
271         sprintf(ord,"U");
272       }
273       PetscStackCallBLAS("BLASsymm",BLASsymm_("L",ord,&B_N,&B_Nrhs,&one,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&zero,mumps->schur_sol,&B_rlda));
274     }
275     if (sol_in_redrhs) {
276       ierr = PetscMemcpy(mumps->id.redrhs,mumps->schur_sol,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
277     }
278   } else { /* Schur complement has not yet been inverted */
279     MumpsScalar *orhs=NULL;
280 
281     if (!sol_in_redrhs) {
282       PetscInt sizesol = B_Nrhs*B_N;
283       if (!mumps->schur_sol || sizesol > mumps->schur_sizesol) {
284         ierr = PetscFree(mumps->schur_sol);CHKERRQ(ierr);
285         ierr = PetscMalloc1(sizesol,&mumps->schur_sol);CHKERRQ(ierr);
286         mumps->schur_sizesol = sizesol;
287       }
288       orhs = mumps->id.redrhs;
289       ierr = PetscMemcpy(mumps->schur_sol,mumps->id.redrhs,sizesol*sizeof(PetscScalar));CHKERRQ(ierr);
290       mumps->id.redrhs = (MumpsScalar*)mumps->schur_sol;
291     }
292     if (!mumps->sym) { /* MUMPS always return a full Schur matrix */
293       char type[2];
294       if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
295         if (!mumps->id.ICNTL(9)) { /* transpose solve */
296           sprintf(type,"N");
297         } else {
298           sprintf(type,"T");
299         }
300       } else { /* stored by columns */
301         if (!mumps->id.ICNTL(9)) { /* transpose solve */
302           sprintf(type,"T");
303         } else {
304           sprintf(type,"N");
305         }
306       }
307       ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
308       PetscStackCallBLAS("LAPACKgetrs",LAPACKgetrs_(type,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
309       ierr = PetscFPTrapPop();CHKERRQ(ierr);
310       if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRS Lapack routine %d",(int)B_ierr);
311     } else { /* either full or lower-triangular (not packed) */
312       char ord[2];
313       if (mumps->id.ICNTL(19) == 2 || mumps->id.ICNTL(19) == 3) { /* lower triangular stored by columns or full matrix */
314         sprintf(ord,"L");
315       } else { /* ICNTL(19) == 1 lower triangular stored by rows */
316         sprintf(ord,"U");
317       }
318       if (mumps->schur_sym == 2) {
319         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
320         PetscStackCallBLAS("LAPACKsytrs",LAPACKsytrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,mumps->schur_pivots,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
321         ierr = PetscFPTrapPop();CHKERRQ(ierr);
322         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRS Lapack routine %d",(int)B_ierr);
323       } else {
324         ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr);
325         PetscStackCallBLAS("LAPACKpotrs",LAPACKpotrs_(ord,&B_N,&B_Nrhs,(PetscScalar*)mumps->id.schur,&B_slda,(PetscScalar*)mumps->id.redrhs,&B_rlda,&B_ierr));
326         ierr = PetscFPTrapPop();CHKERRQ(ierr);
327         if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRS Lapack routine %d",(int)B_ierr);
328       }
329     }
330     if (!sol_in_redrhs) {
331       mumps->id.redrhs = orhs;
332     }
333   }
334   PetscFunctionReturn(0);
335 }
336 
337 #undef __FUNCT__
338 #define __FUNCT__ "MatMumpsHandleSchur_Private"
339 static PetscErrorCode MatMumpsHandleSchur_Private(Mat_MUMPS* mumps, PetscBool expansion)
340 {
341   PetscErrorCode ierr;
342 
343   PetscFunctionBegin;
344   if (!mumps->id.ICNTL(19)) { /* do nothing when Schur complement has not been computed */
345     PetscFunctionReturn(0);
346   }
347   if (!expansion) { /* prepare for the condensation step */
348     PetscInt sizeredrhs = mumps->id.nrhs*mumps->id.size_schur;
349     /* allocate MUMPS internal array to store reduced right-hand sides */
350     if (!mumps->id.redrhs || sizeredrhs > mumps->sizeredrhs) {
351       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
352       mumps->id.lredrhs = mumps->id.size_schur;
353       ierr = PetscMalloc1(mumps->id.nrhs*mumps->id.lredrhs,&mumps->id.redrhs);CHKERRQ(ierr);
354       mumps->sizeredrhs = mumps->id.nrhs*mumps->id.lredrhs;
355     }
356     mumps->id.ICNTL(26) = 1; /* condensation phase */
357   } else { /* prepare for the expansion step */
358     /* solve Schur complement (this has to be done by the MUMPS user, so basically us) */
359     ierr = MatMumpsSolveSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
360     mumps->id.ICNTL(26) = 2; /* expansion phase */
361     PetscMUMPS_c(&mumps->id);
362     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
363     /* restore defaults */
364     mumps->id.ICNTL(26) = -1;
365     /* free MUMPS internal array for redrhs if we have solved for multiple rhs in order to save memory space */
366     if (mumps->id.nrhs > 1) {
367       ierr = PetscFree(mumps->id.redrhs);CHKERRQ(ierr);
368       mumps->id.lredrhs = 0;
369       mumps->sizeredrhs = 0;
370     }
371   }
372   PetscFunctionReturn(0);
373 }
374 
375 /*
376   MatConvertToTriples_A_B - convert Petsc matrix to triples: row[nz], col[nz], val[nz]
377 
378   input:
379     A       - matrix in aij,baij or sbaij (bs=1) format
380     shift   - 0: C style output triple; 1: Fortran style output triple.
381     reuse   - MAT_INITIAL_MATRIX: spaces are allocated and values are set for the triple
382               MAT_REUSE_MATRIX:   only the values in v array are updated
383   output:
384     nnz     - dim of r, c, and v (number of local nonzero entries of A)
385     r, c, v - row and col index, matrix values (matrix triples)
386 
387   The returned values r, c, and sometimes v are obtained in a single PetscMalloc(). Then in MatDestroy_MUMPS() it is
388   freed with PetscFree((mumps->irn);  This is not ideal code, the fact that v is ONLY sometimes part of mumps->irn means
389   that the PetscMalloc() cannot easily be replaced with a PetscMalloc3().
390 
391  */
392 
393 #undef __FUNCT__
394 #define __FUNCT__ "MatConvertToTriples_seqaij_seqaij"
395 PetscErrorCode MatConvertToTriples_seqaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
396 {
397   const PetscInt *ai,*aj,*ajj,M=A->rmap->n;
398   PetscInt       nz,rnz,i,j;
399   PetscErrorCode ierr;
400   PetscInt       *row,*col;
401   Mat_SeqAIJ     *aa=(Mat_SeqAIJ*)A->data;
402 
403   PetscFunctionBegin;
404   *v=aa->a;
405   if (reuse == MAT_INITIAL_MATRIX) {
406     nz   = aa->nz;
407     ai   = aa->i;
408     aj   = aa->j;
409     *nnz = nz;
410     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
411     col  = row + nz;
412 
413     nz = 0;
414     for (i=0; i<M; i++) {
415       rnz = ai[i+1] - ai[i];
416       ajj = aj + ai[i];
417       for (j=0; j<rnz; j++) {
418         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
419       }
420     }
421     *r = row; *c = col;
422   }
423   PetscFunctionReturn(0);
424 }
425 
426 #undef __FUNCT__
427 #define __FUNCT__ "MatConvertToTriples_seqbaij_seqaij"
428 PetscErrorCode MatConvertToTriples_seqbaij_seqaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
429 {
430   Mat_SeqBAIJ    *aa=(Mat_SeqBAIJ*)A->data;
431   const PetscInt *ai,*aj,*ajj,bs2 = aa->bs2;
432   PetscInt       bs,M,nz,idx=0,rnz,i,j,k,m;
433   PetscErrorCode ierr;
434   PetscInt       *row,*col;
435 
436   PetscFunctionBegin;
437   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
438   M = A->rmap->N/bs;
439   *v = aa->a;
440   if (reuse == MAT_INITIAL_MATRIX) {
441     ai   = aa->i; aj = aa->j;
442     nz   = bs2*aa->nz;
443     *nnz = nz;
444     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
445     col  = row + nz;
446 
447     for (i=0; i<M; i++) {
448       ajj = aj + ai[i];
449       rnz = ai[i+1] - ai[i];
450       for (k=0; k<rnz; k++) {
451         for (j=0; j<bs; j++) {
452           for (m=0; m<bs; m++) {
453             row[idx]   = i*bs + m + shift;
454             col[idx++] = bs*(ajj[k]) + j + shift;
455           }
456         }
457       }
458     }
459     *r = row; *c = col;
460   }
461   PetscFunctionReturn(0);
462 }
463 
464 #undef __FUNCT__
465 #define __FUNCT__ "MatConvertToTriples_seqsbaij_seqsbaij"
466 PetscErrorCode MatConvertToTriples_seqsbaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
467 {
468   const PetscInt *ai, *aj,*ajj,M=A->rmap->n;
469   PetscInt       nz,rnz,i,j;
470   PetscErrorCode ierr;
471   PetscInt       *row,*col;
472   Mat_SeqSBAIJ   *aa=(Mat_SeqSBAIJ*)A->data;
473 
474   PetscFunctionBegin;
475   *v = aa->a;
476   if (reuse == MAT_INITIAL_MATRIX) {
477     nz   = aa->nz;
478     ai   = aa->i;
479     aj   = aa->j;
480     *v   = aa->a;
481     *nnz = nz;
482     ierr = PetscMalloc1(2*nz, &row);CHKERRQ(ierr);
483     col  = row + nz;
484 
485     nz = 0;
486     for (i=0; i<M; i++) {
487       rnz = ai[i+1] - ai[i];
488       ajj = aj + ai[i];
489       for (j=0; j<rnz; j++) {
490         row[nz] = i+shift; col[nz++] = ajj[j] + shift;
491       }
492     }
493     *r = row; *c = col;
494   }
495   PetscFunctionReturn(0);
496 }
497 
498 #undef __FUNCT__
499 #define __FUNCT__ "MatConvertToTriples_seqaij_seqsbaij"
500 PetscErrorCode MatConvertToTriples_seqaij_seqsbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
501 {
502   const PetscInt    *ai,*aj,*ajj,*adiag,M=A->rmap->n;
503   PetscInt          nz,rnz,i,j;
504   const PetscScalar *av,*v1;
505   PetscScalar       *val;
506   PetscErrorCode    ierr;
507   PetscInt          *row,*col;
508   Mat_SeqAIJ        *aa=(Mat_SeqAIJ*)A->data;
509 
510   PetscFunctionBegin;
511   ai   =aa->i; aj=aa->j;av=aa->a;
512   adiag=aa->diag;
513   if (reuse == MAT_INITIAL_MATRIX) {
514     /* count nz in the uppper triangular part of A */
515     nz = 0;
516     for (i=0; i<M; i++) nz += ai[i+1] - adiag[i];
517     *nnz = nz;
518 
519     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
520     col  = row + nz;
521     val  = (PetscScalar*)(col + nz);
522 
523     nz = 0;
524     for (i=0; i<M; i++) {
525       rnz = ai[i+1] - adiag[i];
526       ajj = aj + adiag[i];
527       v1  = av + adiag[i];
528       for (j=0; j<rnz; j++) {
529         row[nz] = i+shift; col[nz] = ajj[j] + shift; val[nz++] = v1[j];
530       }
531     }
532     *r = row; *c = col; *v = val;
533   } else {
534     nz = 0; val = *v;
535     for (i=0; i <M; i++) {
536       rnz = ai[i+1] - adiag[i];
537       ajj = aj + adiag[i];
538       v1  = av + adiag[i];
539       for (j=0; j<rnz; j++) {
540         val[nz++] = v1[j];
541       }
542     }
543   }
544   PetscFunctionReturn(0);
545 }
546 
547 #undef __FUNCT__
548 #define __FUNCT__ "MatConvertToTriples_mpisbaij_mpisbaij"
549 PetscErrorCode MatConvertToTriples_mpisbaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
550 {
551   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
552   PetscErrorCode    ierr;
553   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
554   PetscInt          *row,*col;
555   const PetscScalar *av, *bv,*v1,*v2;
556   PetscScalar       *val;
557   Mat_MPISBAIJ      *mat = (Mat_MPISBAIJ*)A->data;
558   Mat_SeqSBAIJ      *aa  = (Mat_SeqSBAIJ*)(mat->A)->data;
559   Mat_SeqBAIJ       *bb  = (Mat_SeqBAIJ*)(mat->B)->data;
560 
561   PetscFunctionBegin;
562   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
563   av=aa->a; bv=bb->a;
564 
565   garray = mat->garray;
566 
567   if (reuse == MAT_INITIAL_MATRIX) {
568     nz   = aa->nz + bb->nz;
569     *nnz = nz;
570     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
571     col  = row + nz;
572     val  = (PetscScalar*)(col + nz);
573 
574     *r = row; *c = col; *v = val;
575   } else {
576     row = *r; col = *c; val = *v;
577   }
578 
579   jj = 0; irow = rstart;
580   for (i=0; i<m; i++) {
581     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
582     countA = ai[i+1] - ai[i];
583     countB = bi[i+1] - bi[i];
584     bjj    = bj + bi[i];
585     v1     = av + ai[i];
586     v2     = bv + bi[i];
587 
588     /* A-part */
589     for (j=0; j<countA; j++) {
590       if (reuse == MAT_INITIAL_MATRIX) {
591         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
592       }
593       val[jj++] = v1[j];
594     }
595 
596     /* B-part */
597     for (j=0; j < countB; j++) {
598       if (reuse == MAT_INITIAL_MATRIX) {
599         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
600       }
601       val[jj++] = v2[j];
602     }
603     irow++;
604   }
605   PetscFunctionReturn(0);
606 }
607 
608 #undef __FUNCT__
609 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpiaij"
610 PetscErrorCode MatConvertToTriples_mpiaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
611 {
612   const PetscInt    *ai, *aj, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
613   PetscErrorCode    ierr;
614   PetscInt          rstart,nz,i,j,jj,irow,countA,countB;
615   PetscInt          *row,*col;
616   const PetscScalar *av, *bv,*v1,*v2;
617   PetscScalar       *val;
618   Mat_MPIAIJ        *mat = (Mat_MPIAIJ*)A->data;
619   Mat_SeqAIJ        *aa  = (Mat_SeqAIJ*)(mat->A)->data;
620   Mat_SeqAIJ        *bb  = (Mat_SeqAIJ*)(mat->B)->data;
621 
622   PetscFunctionBegin;
623   ai=aa->i; aj=aa->j; bi=bb->i; bj=bb->j; rstart= A->rmap->rstart;
624   av=aa->a; bv=bb->a;
625 
626   garray = mat->garray;
627 
628   if (reuse == MAT_INITIAL_MATRIX) {
629     nz   = aa->nz + bb->nz;
630     *nnz = nz;
631     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
632     col  = row + nz;
633     val  = (PetscScalar*)(col + nz);
634 
635     *r = row; *c = col; *v = val;
636   } else {
637     row = *r; col = *c; val = *v;
638   }
639 
640   jj = 0; irow = rstart;
641   for (i=0; i<m; i++) {
642     ajj    = aj + ai[i];                 /* ptr to the beginning of this row */
643     countA = ai[i+1] - ai[i];
644     countB = bi[i+1] - bi[i];
645     bjj    = bj + bi[i];
646     v1     = av + ai[i];
647     v2     = bv + bi[i];
648 
649     /* A-part */
650     for (j=0; j<countA; j++) {
651       if (reuse == MAT_INITIAL_MATRIX) {
652         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
653       }
654       val[jj++] = v1[j];
655     }
656 
657     /* B-part */
658     for (j=0; j < countB; j++) {
659       if (reuse == MAT_INITIAL_MATRIX) {
660         row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
661       }
662       val[jj++] = v2[j];
663     }
664     irow++;
665   }
666   PetscFunctionReturn(0);
667 }
668 
669 #undef __FUNCT__
670 #define __FUNCT__ "MatConvertToTriples_mpibaij_mpiaij"
671 PetscErrorCode MatConvertToTriples_mpibaij_mpiaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
672 {
673   Mat_MPIBAIJ       *mat    = (Mat_MPIBAIJ*)A->data;
674   Mat_SeqBAIJ       *aa     = (Mat_SeqBAIJ*)(mat->A)->data;
675   Mat_SeqBAIJ       *bb     = (Mat_SeqBAIJ*)(mat->B)->data;
676   const PetscInt    *ai     = aa->i, *bi = bb->i, *aj = aa->j, *bj = bb->j,*ajj, *bjj;
677   const PetscInt    *garray = mat->garray,mbs=mat->mbs,rstart=A->rmap->rstart;
678   const PetscInt    bs2=mat->bs2;
679   PetscErrorCode    ierr;
680   PetscInt          bs,nz,i,j,k,n,jj,irow,countA,countB,idx;
681   PetscInt          *row,*col;
682   const PetscScalar *av=aa->a, *bv=bb->a,*v1,*v2;
683   PetscScalar       *val;
684 
685   PetscFunctionBegin;
686   ierr = MatGetBlockSize(A,&bs);CHKERRQ(ierr);
687   if (reuse == MAT_INITIAL_MATRIX) {
688     nz   = bs2*(aa->nz + bb->nz);
689     *nnz = nz;
690     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
691     col  = row + nz;
692     val  = (PetscScalar*)(col + nz);
693 
694     *r = row; *c = col; *v = val;
695   } else {
696     row = *r; col = *c; val = *v;
697   }
698 
699   jj = 0; irow = rstart;
700   for (i=0; i<mbs; i++) {
701     countA = ai[i+1] - ai[i];
702     countB = bi[i+1] - bi[i];
703     ajj    = aj + ai[i];
704     bjj    = bj + bi[i];
705     v1     = av + bs2*ai[i];
706     v2     = bv + bs2*bi[i];
707 
708     idx = 0;
709     /* A-part */
710     for (k=0; k<countA; k++) {
711       for (j=0; j<bs; j++) {
712         for (n=0; n<bs; n++) {
713           if (reuse == MAT_INITIAL_MATRIX) {
714             row[jj] = irow + n + shift;
715             col[jj] = rstart + bs*ajj[k] + j + shift;
716           }
717           val[jj++] = v1[idx++];
718         }
719       }
720     }
721 
722     idx = 0;
723     /* B-part */
724     for (k=0; k<countB; k++) {
725       for (j=0; j<bs; j++) {
726         for (n=0; n<bs; n++) {
727           if (reuse == MAT_INITIAL_MATRIX) {
728             row[jj] = irow + n + shift;
729             col[jj] = bs*garray[bjj[k]] + j + shift;
730           }
731           val[jj++] = v2[idx++];
732         }
733       }
734     }
735     irow += bs;
736   }
737   PetscFunctionReturn(0);
738 }
739 
740 #undef __FUNCT__
741 #define __FUNCT__ "MatConvertToTriples_mpiaij_mpisbaij"
742 PetscErrorCode MatConvertToTriples_mpiaij_mpisbaij(Mat A,int shift,MatReuse reuse,int *nnz,int **r, int **c, PetscScalar **v)
743 {
744   const PetscInt    *ai, *aj,*adiag, *bi, *bj,*garray,m=A->rmap->n,*ajj,*bjj;
745   PetscErrorCode    ierr;
746   PetscInt          rstart,nz,nza,nzb,i,j,jj,irow,countA,countB;
747   PetscInt          *row,*col;
748   const PetscScalar *av, *bv,*v1,*v2;
749   PetscScalar       *val;
750   Mat_MPIAIJ        *mat =  (Mat_MPIAIJ*)A->data;
751   Mat_SeqAIJ        *aa  =(Mat_SeqAIJ*)(mat->A)->data;
752   Mat_SeqAIJ        *bb  =(Mat_SeqAIJ*)(mat->B)->data;
753 
754   PetscFunctionBegin;
755   ai=aa->i; aj=aa->j; adiag=aa->diag;
756   bi=bb->i; bj=bb->j; garray = mat->garray;
757   av=aa->a; bv=bb->a;
758 
759   rstart = A->rmap->rstart;
760 
761   if (reuse == MAT_INITIAL_MATRIX) {
762     nza = 0;    /* num of upper triangular entries in mat->A, including diagonals */
763     nzb = 0;    /* num of upper triangular entries in mat->B */
764     for (i=0; i<m; i++) {
765       nza   += (ai[i+1] - adiag[i]);
766       countB = bi[i+1] - bi[i];
767       bjj    = bj + bi[i];
768       for (j=0; j<countB; j++) {
769         if (garray[bjj[j]] > rstart) nzb++;
770       }
771     }
772 
773     nz   = nza + nzb; /* total nz of upper triangular part of mat */
774     *nnz = nz;
775     ierr = PetscMalloc((2*nz*sizeof(PetscInt)+nz*sizeof(PetscScalar)), &row);CHKERRQ(ierr);
776     col  = row + nz;
777     val  = (PetscScalar*)(col + nz);
778 
779     *r = row; *c = col; *v = val;
780   } else {
781     row = *r; col = *c; val = *v;
782   }
783 
784   jj = 0; irow = rstart;
785   for (i=0; i<m; i++) {
786     ajj    = aj + adiag[i];                 /* ptr to the beginning of the diagonal of this row */
787     v1     = av + adiag[i];
788     countA = ai[i+1] - adiag[i];
789     countB = bi[i+1] - bi[i];
790     bjj    = bj + bi[i];
791     v2     = bv + bi[i];
792 
793     /* A-part */
794     for (j=0; j<countA; j++) {
795       if (reuse == MAT_INITIAL_MATRIX) {
796         row[jj] = irow + shift; col[jj] = rstart + ajj[j] + shift;
797       }
798       val[jj++] = v1[j];
799     }
800 
801     /* B-part */
802     for (j=0; j < countB; j++) {
803       if (garray[bjj[j]] > rstart) {
804         if (reuse == MAT_INITIAL_MATRIX) {
805           row[jj] = irow + shift; col[jj] = garray[bjj[j]] + shift;
806         }
807         val[jj++] = v2[j];
808       }
809     }
810     irow++;
811   }
812   PetscFunctionReturn(0);
813 }
814 
815 #undef __FUNCT__
816 #define __FUNCT__ "MatGetDiagonal_MUMPS"
817 PetscErrorCode MatGetDiagonal_MUMPS(Mat A,Vec v)
818 {
819   PetscFunctionBegin;
820   SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Mat type: MUMPS factor");
821   PetscFunctionReturn(0);
822 }
823 
824 #undef __FUNCT__
825 #define __FUNCT__ "MatDestroy_MUMPS"
826 PetscErrorCode MatDestroy_MUMPS(Mat A)
827 {
828   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
829   PetscErrorCode ierr;
830 
831   PetscFunctionBegin;
832   ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
833   ierr = VecScatterDestroy(&mumps->scat_rhs);CHKERRQ(ierr);
834   ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
835   ierr = VecDestroy(&mumps->b_seq);CHKERRQ(ierr);
836   ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
837   ierr = PetscFree(mumps->id.perm_in);CHKERRQ(ierr);
838   ierr = PetscFree(mumps->irn);CHKERRQ(ierr);
839   ierr = PetscFree(mumps->info);CHKERRQ(ierr);
840   ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
841   mumps->id.job = JOB_END;
842   PetscMUMPS_c(&mumps->id);
843   ierr = MPI_Comm_free(&mumps->comm_mumps);CHKERRQ(ierr);
844   if (mumps->Destroy) {
845     ierr = (mumps->Destroy)(A);CHKERRQ(ierr);
846   }
847   ierr = PetscFree(A->spptr);CHKERRQ(ierr);
848 
849   /* clear composed functions */
850   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverPackage_C",NULL);CHKERRQ(ierr);
851   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurIS_C",NULL);CHKERRQ(ierr);
852   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorInvertSchurComplement_C",NULL);CHKERRQ(ierr);
853   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorCreateSchurComplement_C",NULL);CHKERRQ(ierr);
854   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSchurComplement_C",NULL);CHKERRQ(ierr);
855   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplement_C",NULL);CHKERRQ(ierr);
856   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSolveSchurComplementTranspose_C",NULL);CHKERRQ(ierr);
857   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorFactorizeSchurComplement_C",NULL);CHKERRQ(ierr);
858   ierr = PetscObjectComposeFunction((PetscObject)A,"MatFactorSetSchurComplementSolverType_C",NULL);CHKERRQ(ierr);
859   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetIcntl_C",NULL);CHKERRQ(ierr);
860   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetIcntl_C",NULL);CHKERRQ(ierr);
861   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsSetCntl_C",NULL);CHKERRQ(ierr);
862   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetCntl_C",NULL);CHKERRQ(ierr);
863   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfo_C",NULL);CHKERRQ(ierr);
864   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetInfog_C",NULL);CHKERRQ(ierr);
865   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfo_C",NULL);CHKERRQ(ierr);
866   ierr = PetscObjectComposeFunction((PetscObject)A,"MatMumpsGetRinfog_C",NULL);CHKERRQ(ierr);
867   PetscFunctionReturn(0);
868 }
869 
870 #undef __FUNCT__
871 #define __FUNCT__ "MatSolve_MUMPS"
872 PetscErrorCode MatSolve_MUMPS(Mat A,Vec b,Vec x)
873 {
874   Mat_MUMPS        *mumps=(Mat_MUMPS*)A->spptr;
875   PetscScalar      *array;
876   Vec              b_seq;
877   IS               is_iden,is_petsc;
878   PetscErrorCode   ierr;
879   PetscInt         i;
880   PetscBool        second_solve = PETSC_FALSE;
881   static PetscBool cite1 = PETSC_FALSE,cite2 = PETSC_FALSE;
882 
883   PetscFunctionBegin;
884   ierr = PetscCitationsRegister("@article{MUMPS01,\n  author = {P.~R. Amestoy and I.~S. Duff and J.-Y. L'Excellent and J. Koster},\n  title = {A fully asynchronous multifrontal solver using distributed dynamic scheduling},\n  journal = {SIAM Journal on Matrix Analysis and Applications},\n  volume = {23},\n  number = {1},\n  pages = {15--41},\n  year = {2001}\n}\n",&cite1);CHKERRQ(ierr);
885   ierr = PetscCitationsRegister("@article{MUMPS02,\n  author = {P.~R. Amestoy and A. Guermouche and J.-Y. L'Excellent and S. Pralet},\n  title = {Hybrid scheduling for the parallel solution of linear systems},\n  journal = {Parallel Computing},\n  volume = {32},\n  number = {2},\n  pages = {136--156},\n  year = {2006}\n}\n",&cite2);CHKERRQ(ierr);
886   mumps->id.nrhs = 1;
887   b_seq          = mumps->b_seq;
888   if (mumps->size > 1) {
889     /* MUMPS only supports centralized rhs. Scatter b into a seqential rhs vector */
890     ierr = VecScatterBegin(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
891     ierr = VecScatterEnd(mumps->scat_rhs,b,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
892     if (!mumps->myid) {ierr = VecGetArray(b_seq,&array);CHKERRQ(ierr);}
893   } else {  /* size == 1 */
894     ierr = VecCopy(b,x);CHKERRQ(ierr);
895     ierr = VecGetArray(x,&array);CHKERRQ(ierr);
896   }
897   if (!mumps->myid) { /* define rhs on the host */
898     mumps->id.nrhs = 1;
899     mumps->id.rhs = (MumpsScalar*)array;
900   }
901 
902   /*
903      handle condensation step of Schur complement (if any)
904      We set by default ICNTL(26) == -1 when Schur indices have been provided by the user.
905      According to MUMPS (5.0.0) manual, any value should be harmful during the factorization phase
906      Unless the user provides a valid value for ICNTL(26), MatSolve and MatMatSolve routines solve the full system.
907      This requires an extra call to PetscMUMPS_c and the computation of the factors for S
908   */
909   if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
910     second_solve = PETSC_TRUE;
911     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
912   }
913   /* solve phase */
914   /*-------------*/
915   mumps->id.job = JOB_SOLVE;
916   PetscMUMPS_c(&mumps->id);
917   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
918 
919   /* handle expansion step of Schur complement (if any) */
920   if (second_solve) {
921     ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
922   }
923 
924   if (mumps->size > 1) { /* convert mumps distributed solution to petsc mpi x */
925     if (mumps->scat_sol && mumps->ICNTL9_pre != mumps->id.ICNTL(9)) {
926       /* when id.ICNTL(9) changes, the contents of lsol_loc may change (not its size, lsol_loc), recreates scat_sol */
927       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
928     }
929     if (!mumps->scat_sol) { /* create scatter scat_sol */
930       ierr = ISCreateStride(PETSC_COMM_SELF,mumps->id.lsol_loc,0,1,&is_iden);CHKERRQ(ierr); /* from */
931       for (i=0; i<mumps->id.lsol_loc; i++) {
932         mumps->id.isol_loc[i] -= 1; /* change Fortran style to C style */
933       }
934       ierr = ISCreateGeneral(PETSC_COMM_SELF,mumps->id.lsol_loc,mumps->id.isol_loc,PETSC_COPY_VALUES,&is_petsc);CHKERRQ(ierr);  /* to */
935       ierr = VecScatterCreate(mumps->x_seq,is_iden,x,is_petsc,&mumps->scat_sol);CHKERRQ(ierr);
936       ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
937       ierr = ISDestroy(&is_petsc);CHKERRQ(ierr);
938 
939       mumps->ICNTL9_pre = mumps->id.ICNTL(9); /* save current value of id.ICNTL(9) */
940     }
941 
942     ierr = VecScatterBegin(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
943     ierr = VecScatterEnd(mumps->scat_sol,mumps->x_seq,x,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
944   }
945   PetscFunctionReturn(0);
946 }
947 
948 #undef __FUNCT__
949 #define __FUNCT__ "MatSolveTranspose_MUMPS"
950 PetscErrorCode MatSolveTranspose_MUMPS(Mat A,Vec b,Vec x)
951 {
952   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
953   PetscErrorCode ierr;
954 
955   PetscFunctionBegin;
956   mumps->id.ICNTL(9) = 0;
957   ierr = MatSolve_MUMPS(A,b,x);CHKERRQ(ierr);
958   mumps->id.ICNTL(9) = 1;
959   PetscFunctionReturn(0);
960 }
961 
962 #undef __FUNCT__
963 #define __FUNCT__ "MatMatSolve_MUMPS"
964 PetscErrorCode MatMatSolve_MUMPS(Mat A,Mat B,Mat X)
965 {
966   PetscErrorCode ierr;
967   PetscBool      flg;
968   Mat_MUMPS      *mumps=(Mat_MUMPS*)A->spptr;
969   PetscInt       i,nrhs,M;
970   PetscScalar    *array,*bray;
971 
972   PetscFunctionBegin;
973   ierr = PetscObjectTypeCompareAny((PetscObject)B,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
974   if (!flg) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B must be MATDENSE matrix");
975   ierr = PetscObjectTypeCompareAny((PetscObject)X,&flg,MATSEQDENSE,MATMPIDENSE,NULL);CHKERRQ(ierr);
976   if (!flg) SETERRQ(PetscObjectComm((PetscObject)X),PETSC_ERR_ARG_WRONG,"Matrix X must be MATDENSE matrix");
977   if (B->rmap->n != X->rmap->n) SETERRQ(PetscObjectComm((PetscObject)B),PETSC_ERR_ARG_WRONG,"Matrix B and X must have same row distribution");
978 
979   ierr = MatGetSize(B,&M,&nrhs);CHKERRQ(ierr);
980   mumps->id.nrhs = nrhs;
981   mumps->id.lrhs = M;
982 
983   if (mumps->size == 1) {
984     PetscBool second_solve = PETSC_FALSE;
985     /* copy B to X */
986     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
987     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
988     ierr = PetscMemcpy(array,bray,M*nrhs*sizeof(PetscScalar));CHKERRQ(ierr);
989     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
990     mumps->id.rhs = (MumpsScalar*)array;
991 
992     /* handle condensation step of Schur complement (if any) */
993     if (mumps->id.ICNTL(26) < 0 || mumps->id.ICNTL(26) > 2) {
994       second_solve = PETSC_TRUE;
995       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
996     }
997     /* solve phase */
998     /*-------------*/
999     mumps->id.job = JOB_SOLVE;
1000     PetscMUMPS_c(&mumps->id);
1001     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1002 
1003     /* handle expansion step of Schur complement (if any) */
1004     if (second_solve) {
1005       ierr = MatMumpsHandleSchur_Private(mumps,PETSC_TRUE);CHKERRQ(ierr);
1006     }
1007     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1008   } else {  /*--------- parallel case --------*/
1009     PetscInt       lsol_loc,nlsol_loc,*isol_loc,*idx,*iidx,*idxx,*isol_loc_save;
1010     MumpsScalar    *sol_loc,*sol_loc_save;
1011     IS             is_to,is_from;
1012     PetscInt       k,proc,j,m;
1013     const PetscInt *rstart;
1014     Vec            v_mpi,b_seq,x_seq;
1015     VecScatter     scat_rhs,scat_sol;
1016 
1017     /* create x_seq to hold local solution */
1018     isol_loc_save = mumps->id.isol_loc; /* save it for MatSovle() */
1019     sol_loc_save  = mumps->id.sol_loc;
1020 
1021     lsol_loc  = mumps->id.INFO(23);
1022     nlsol_loc = nrhs*lsol_loc;     /* length of sol_loc */
1023     ierr = PetscMalloc2(nlsol_loc,&sol_loc,nlsol_loc,&isol_loc);CHKERRQ(ierr);
1024     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1025     mumps->id.isol_loc = isol_loc;
1026 
1027     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,nlsol_loc,(PetscScalar*)sol_loc,&x_seq);CHKERRQ(ierr);
1028 
1029     /* copy rhs matrix B into vector v_mpi */
1030     ierr = MatGetLocalSize(B,&m,NULL);CHKERRQ(ierr);
1031     ierr = MatDenseGetArray(B,&bray);CHKERRQ(ierr);
1032     ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)B),1,nrhs*m,nrhs*M,(const PetscScalar*)bray,&v_mpi);CHKERRQ(ierr);
1033     ierr = MatDenseRestoreArray(B,&bray);CHKERRQ(ierr);
1034 
1035     /* scatter v_mpi to b_seq because MUMPS only supports centralized rhs */
1036     /* idx: maps from k-th index of v_mpi to (i,j)-th global entry of B;
1037       iidx: inverse of idx, will be used by scattering xx_seq -> X       */
1038     ierr = PetscMalloc2(nrhs*M,&idx,nrhs*M,&iidx);CHKERRQ(ierr);
1039     ierr = MatGetOwnershipRanges(B,&rstart);CHKERRQ(ierr);
1040     k = 0;
1041     for (proc=0; proc<mumps->size; proc++){
1042       for (j=0; j<nrhs; j++){
1043         for (i=rstart[proc]; i<rstart[proc+1]; i++){
1044           iidx[j*M + i] = k;
1045           idx[k++]      = j*M + i;
1046         }
1047       }
1048     }
1049 
1050     if (!mumps->myid) {
1051       ierr = VecCreateSeq(PETSC_COMM_SELF,nrhs*M,&b_seq);CHKERRQ(ierr);
1052       ierr = ISCreateGeneral(PETSC_COMM_SELF,nrhs*M,idx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1053       ierr = ISCreateStride(PETSC_COMM_SELF,nrhs*M,0,1,&is_from);CHKERRQ(ierr);
1054     } else {
1055       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&b_seq);CHKERRQ(ierr);
1056       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_to);CHKERRQ(ierr);
1057       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_from);CHKERRQ(ierr);
1058     }
1059     ierr = VecScatterCreate(v_mpi,is_from,b_seq,is_to,&scat_rhs);CHKERRQ(ierr);
1060     ierr = VecScatterBegin(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1061     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1062     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1063     ierr = VecScatterEnd(scat_rhs,v_mpi,b_seq,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1064 
1065     if (!mumps->myid) { /* define rhs on the host */
1066       ierr = VecGetArray(b_seq,&bray);CHKERRQ(ierr);
1067       mumps->id.rhs = (MumpsScalar*)bray;
1068       ierr = VecRestoreArray(b_seq,&bray);CHKERRQ(ierr);
1069     }
1070 
1071     /* solve phase */
1072     /*-------------*/
1073     mumps->id.job = JOB_SOLVE;
1074     PetscMUMPS_c(&mumps->id);
1075     if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in solve phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1076 
1077     /* scatter mumps distributed solution to petsc vector v_mpi, which shares local arrays with solution matrix X */
1078     ierr = MatDenseGetArray(X,&array);CHKERRQ(ierr);
1079     ierr = VecPlaceArray(v_mpi,array);CHKERRQ(ierr);
1080 
1081     /* create scatter scat_sol */
1082     ierr = PetscMalloc1(nlsol_loc,&idxx);CHKERRQ(ierr);
1083     ierr = ISCreateStride(PETSC_COMM_SELF,nlsol_loc,0,1,&is_from);CHKERRQ(ierr);
1084     for (i=0; i<lsol_loc; i++) {
1085       isol_loc[i] -= 1; /* change Fortran style to C style */
1086       idxx[i] = iidx[isol_loc[i]];
1087       for (j=1; j<nrhs; j++){
1088         idxx[j*lsol_loc+i] = iidx[isol_loc[i]+j*M];
1089       }
1090     }
1091     ierr = ISCreateGeneral(PETSC_COMM_SELF,nlsol_loc,idxx,PETSC_COPY_VALUES,&is_to);CHKERRQ(ierr);
1092     ierr = VecScatterCreate(x_seq,is_from,v_mpi,is_to,&scat_sol);CHKERRQ(ierr);
1093     ierr = VecScatterBegin(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1094     ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1095     ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1096     ierr = VecScatterEnd(scat_sol,x_seq,v_mpi,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
1097     ierr = MatDenseRestoreArray(X,&array);CHKERRQ(ierr);
1098 
1099     /* free spaces */
1100     mumps->id.sol_loc = sol_loc_save;
1101     mumps->id.isol_loc = isol_loc_save;
1102 
1103     ierr = PetscFree2(sol_loc,isol_loc);CHKERRQ(ierr);
1104     ierr = PetscFree2(idx,iidx);CHKERRQ(ierr);
1105     ierr = PetscFree(idxx);CHKERRQ(ierr);
1106     ierr = VecDestroy(&x_seq);CHKERRQ(ierr);
1107     ierr = VecDestroy(&v_mpi);CHKERRQ(ierr);
1108     ierr = VecDestroy(&b_seq);CHKERRQ(ierr);
1109     ierr = VecScatterDestroy(&scat_rhs);CHKERRQ(ierr);
1110     ierr = VecScatterDestroy(&scat_sol);CHKERRQ(ierr);
1111   }
1112   PetscFunctionReturn(0);
1113 }
1114 
1115 #if !defined(PETSC_USE_COMPLEX)
1116 /*
1117   input:
1118    F:        numeric factor
1119   output:
1120    nneg:     total number of negative pivots
1121    nzero:    0
1122    npos:     (global dimension of F) - nneg
1123 */
1124 
1125 #undef __FUNCT__
1126 #define __FUNCT__ "MatGetInertia_SBAIJMUMPS"
1127 PetscErrorCode MatGetInertia_SBAIJMUMPS(Mat F,int *nneg,int *nzero,int *npos)
1128 {
1129   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1130   PetscErrorCode ierr;
1131   PetscMPIInt    size;
1132 
1133   PetscFunctionBegin;
1134   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)F),&size);CHKERRQ(ierr);
1135   /* MUMPS 4.3.1 calls ScaLAPACK when ICNTL(13)=0 (default), which does not offer the possibility to compute the inertia of a dense matrix. Set ICNTL(13)=1 to skip ScaLAPACK */
1136   if (size > 1 && mumps->id.ICNTL(13) != 1) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"ICNTL(13)=%d. -mat_mumps_icntl_13 must be set as 1 for correct global matrix inertia\n",mumps->id.INFOG(13));
1137 
1138   if (nneg) *nneg = mumps->id.INFOG(12);
1139   if (nzero || npos) {
1140     if (mumps->id.ICNTL(24) != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"-mat_mumps_icntl_24 must be set as 1 for null pivot row detection");
1141     if (nzero) *nzero = mumps->id.INFOG(28);
1142     if (npos) *npos   = F->rmap->N - (mumps->id.INFOG(12) + mumps->id.INFOG(28));
1143   }
1144   PetscFunctionReturn(0);
1145 }
1146 #endif /* !defined(PETSC_USE_COMPLEX) */
1147 
1148 #undef __FUNCT__
1149 #define __FUNCT__ "MatFactorNumeric_MUMPS"
1150 PetscErrorCode MatFactorNumeric_MUMPS(Mat F,Mat A,const MatFactorInfo *info)
1151 {
1152   Mat_MUMPS      *mumps =(Mat_MUMPS*)(F)->spptr;
1153   PetscErrorCode ierr;
1154   Mat            F_diag;
1155   PetscBool      isMPIAIJ;
1156 
1157   PetscFunctionBegin;
1158   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_REUSE_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1159 
1160   /* numerical factorization phase */
1161   /*-------------------------------*/
1162   mumps->id.job = JOB_FACTNUMERIC;
1163   if (!mumps->id.ICNTL(18)) { /* A is centralized */
1164     if (!mumps->myid) {
1165       mumps->id.a = (MumpsScalar*)mumps->val;
1166     }
1167   } else {
1168     mumps->id.a_loc = (MumpsScalar*)mumps->val;
1169   }
1170   PetscMUMPS_c(&mumps->id);
1171   if (mumps->id.INFOG(1) < 0) {
1172     if (mumps->id.INFO(1) == -13) {
1173       if (mumps->id.INFO(2) < 0) {
1174         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: Cannot allocate required memory %d megabytes\n",-mumps->id.INFO(2));
1175       } else {
1176         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: Cannot allocate required memory %d bytes\n",mumps->id.INFO(2));
1177       }
1178     } else SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in numerical factorization phase: INFO(1)=%d, INFO(2)=%d\n",mumps->id.INFO(1),mumps->id.INFO(2));
1179   }
1180   if (!mumps->myid && mumps->id.ICNTL(16) > 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"  mumps->id.ICNTL(16):=%d\n",mumps->id.INFOG(16));
1181 
1182   (F)->assembled        = PETSC_TRUE;
1183   mumps->matstruc       = SAME_NONZERO_PATTERN;
1184   mumps->schur_factored = PETSC_FALSE;
1185   mumps->schur_inverted = PETSC_FALSE;
1186 
1187   /* just to be sure that ICNTL(19) value returned by a call from MatMumpsGetIcntl is always consistent */
1188   if (!mumps->sym && mumps->id.ICNTL(19) && mumps->id.ICNTL(19) != 1) mumps->id.ICNTL(19) = 3;
1189 
1190   if (mumps->size > 1) {
1191     PetscInt    lsol_loc;
1192     PetscScalar *sol_loc;
1193 
1194     ierr = PetscObjectTypeCompare((PetscObject)A,MATMPIAIJ,&isMPIAIJ);CHKERRQ(ierr);
1195     if (isMPIAIJ) F_diag = ((Mat_MPIAIJ*)(F)->data)->A;
1196     else F_diag = ((Mat_MPISBAIJ*)(F)->data)->A;
1197     F_diag->assembled = PETSC_TRUE;
1198 
1199     /* distributed solution; Create x_seq=sol_loc for repeated use */
1200     if (mumps->x_seq) {
1201       ierr = VecScatterDestroy(&mumps->scat_sol);CHKERRQ(ierr);
1202       ierr = PetscFree2(mumps->id.sol_loc,mumps->id.isol_loc);CHKERRQ(ierr);
1203       ierr = VecDestroy(&mumps->x_seq);CHKERRQ(ierr);
1204     }
1205     lsol_loc = mumps->id.INFO(23); /* length of sol_loc */
1206     ierr = PetscMalloc2(lsol_loc,&sol_loc,lsol_loc,&mumps->id.isol_loc);CHKERRQ(ierr);
1207     mumps->id.lsol_loc = lsol_loc;
1208     mumps->id.sol_loc = (MumpsScalar*)sol_loc;
1209     ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,lsol_loc,sol_loc,&mumps->x_seq);CHKERRQ(ierr);
1210   }
1211   PetscFunctionReturn(0);
1212 }
1213 
1214 /* Sets MUMPS options from the options database */
1215 #undef __FUNCT__
1216 #define __FUNCT__ "PetscSetMUMPSFromOptions"
1217 PetscErrorCode PetscSetMUMPSFromOptions(Mat F, Mat A)
1218 {
1219   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1220   PetscErrorCode ierr;
1221   PetscInt       icntl,info[40],i,ninfo=40;
1222   PetscBool      flg;
1223 
1224   PetscFunctionBegin;
1225   ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)A),((PetscObject)A)->prefix,"MUMPS Options","Mat");CHKERRQ(ierr);
1226   ierr = PetscOptionsInt("-mat_mumps_icntl_1","ICNTL(1): output stream for error messages","None",mumps->id.ICNTL(1),&icntl,&flg);CHKERRQ(ierr);
1227   if (flg) mumps->id.ICNTL(1) = icntl;
1228   ierr = PetscOptionsInt("-mat_mumps_icntl_2","ICNTL(2): output stream for diagnostic printing, statistics, and warning","None",mumps->id.ICNTL(2),&icntl,&flg);CHKERRQ(ierr);
1229   if (flg) mumps->id.ICNTL(2) = icntl;
1230   ierr = PetscOptionsInt("-mat_mumps_icntl_3","ICNTL(3): output stream for global information, collected on the host","None",mumps->id.ICNTL(3),&icntl,&flg);CHKERRQ(ierr);
1231   if (flg) mumps->id.ICNTL(3) = icntl;
1232 
1233   ierr = PetscOptionsInt("-mat_mumps_icntl_4","ICNTL(4): level of printing (0 to 4)","None",mumps->id.ICNTL(4),&icntl,&flg);CHKERRQ(ierr);
1234   if (flg) mumps->id.ICNTL(4) = icntl;
1235   if (mumps->id.ICNTL(4) || PetscLogPrintInfo) mumps->id.ICNTL(3) = 6; /* resume MUMPS default id.ICNTL(3) = 6 */
1236 
1237   ierr = PetscOptionsInt("-mat_mumps_icntl_6","ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7)","None",mumps->id.ICNTL(6),&icntl,&flg);CHKERRQ(ierr);
1238   if (flg) mumps->id.ICNTL(6) = icntl;
1239 
1240   ierr = PetscOptionsInt("-mat_mumps_icntl_7","ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis","None",mumps->id.ICNTL(7),&icntl,&flg);CHKERRQ(ierr);
1241   if (flg) {
1242     if (icntl== 1 && mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"pivot order be set by the user in PERM_IN -- not supported by the PETSc/MUMPS interface\n");
1243     else mumps->id.ICNTL(7) = icntl;
1244   }
1245 
1246   ierr = PetscOptionsInt("-mat_mumps_icntl_8","ICNTL(8): scaling strategy (-2 to 8 or 77)","None",mumps->id.ICNTL(8),&mumps->id.ICNTL(8),NULL);CHKERRQ(ierr);
1247   /* ierr = PetscOptionsInt("-mat_mumps_icntl_9","ICNTL(9): computes the solution using A or A^T","None",mumps->id.ICNTL(9),&mumps->id.ICNTL(9),NULL);CHKERRQ(ierr); handled by MatSolveTranspose_MUMPS() */
1248   ierr = PetscOptionsInt("-mat_mumps_icntl_10","ICNTL(10): max num of refinements","None",mumps->id.ICNTL(10),&mumps->id.ICNTL(10),NULL);CHKERRQ(ierr);
1249   ierr = PetscOptionsInt("-mat_mumps_icntl_11","ICNTL(11): statistics related to an error analysis (via -ksp_view)","None",mumps->id.ICNTL(11),&mumps->id.ICNTL(11),NULL);CHKERRQ(ierr);
1250   ierr = PetscOptionsInt("-mat_mumps_icntl_12","ICNTL(12): an ordering strategy for symmetric matrices (0 to 3)","None",mumps->id.ICNTL(12),&mumps->id.ICNTL(12),NULL);CHKERRQ(ierr);
1251   ierr = PetscOptionsInt("-mat_mumps_icntl_13","ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting","None",mumps->id.ICNTL(13),&mumps->id.ICNTL(13),NULL);CHKERRQ(ierr);
1252   ierr = PetscOptionsInt("-mat_mumps_icntl_14","ICNTL(14): percentage increase in the estimated working space","None",mumps->id.ICNTL(14),&mumps->id.ICNTL(14),NULL);CHKERRQ(ierr);
1253   ierr = PetscOptionsInt("-mat_mumps_icntl_19","ICNTL(19): computes the Schur complement","None",mumps->id.ICNTL(19),&mumps->id.ICNTL(19),NULL);CHKERRQ(ierr);
1254   if (mumps->id.ICNTL(19) <= 0 || mumps->id.ICNTL(19) > 3) { /* reset any schur data (if any) */
1255     ierr = MatMumpsResetSchur_Private(mumps);CHKERRQ(ierr);
1256   }
1257   /* ierr = PetscOptionsInt("-mat_mumps_icntl_20","ICNTL(20): the format (dense or sparse) of the right-hand sides","None",mumps->id.ICNTL(20),&mumps->id.ICNTL(20),NULL);CHKERRQ(ierr); -- sparse rhs is not supported in PETSc API */
1258   /* ierr = PetscOptionsInt("-mat_mumps_icntl_21","ICNTL(21): the distribution (centralized or distributed) of the solution vectors","None",mumps->id.ICNTL(21),&mumps->id.ICNTL(21),NULL);CHKERRQ(ierr); we only use distributed solution vector */
1259 
1260   ierr = PetscOptionsInt("-mat_mumps_icntl_22","ICNTL(22): in-core/out-of-core factorization and solve (0 or 1)","None",mumps->id.ICNTL(22),&mumps->id.ICNTL(22),NULL);CHKERRQ(ierr);
1261   ierr = PetscOptionsInt("-mat_mumps_icntl_23","ICNTL(23): max size of the working memory (MB) that can allocate per processor","None",mumps->id.ICNTL(23),&mumps->id.ICNTL(23),NULL);CHKERRQ(ierr);
1262   ierr = PetscOptionsInt("-mat_mumps_icntl_24","ICNTL(24): detection of null pivot rows (0 or 1)","None",mumps->id.ICNTL(24),&mumps->id.ICNTL(24),NULL);CHKERRQ(ierr);
1263   if (mumps->id.ICNTL(24)) {
1264     mumps->id.ICNTL(13) = 1; /* turn-off ScaLAPACK to help with the correct detection of null pivots */
1265   }
1266 
1267   ierr = PetscOptionsInt("-mat_mumps_icntl_25","ICNTL(25): compute a solution of a deficient matrix and a null space basis","None",mumps->id.ICNTL(25),&mumps->id.ICNTL(25),NULL);CHKERRQ(ierr);
1268   ierr = PetscOptionsInt("-mat_mumps_icntl_26","ICNTL(26): drives the solution phase if a Schur complement matrix","None",mumps->id.ICNTL(26),&mumps->id.ICNTL(26),NULL);CHKERRQ(ierr);
1269   ierr = PetscOptionsInt("-mat_mumps_icntl_27","ICNTL(27): the blocking size for multiple right-hand sides","None",mumps->id.ICNTL(27),&mumps->id.ICNTL(27),NULL);CHKERRQ(ierr);
1270   ierr = PetscOptionsInt("-mat_mumps_icntl_28","ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering","None",mumps->id.ICNTL(28),&mumps->id.ICNTL(28),NULL);CHKERRQ(ierr);
1271   ierr = PetscOptionsInt("-mat_mumps_icntl_29","ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis","None",mumps->id.ICNTL(29),&mumps->id.ICNTL(29),NULL);CHKERRQ(ierr);
1272   ierr = PetscOptionsInt("-mat_mumps_icntl_30","ICNTL(30): compute user-specified set of entries in inv(A)","None",mumps->id.ICNTL(30),&mumps->id.ICNTL(30),NULL);CHKERRQ(ierr);
1273   ierr = PetscOptionsInt("-mat_mumps_icntl_31","ICNTL(31): indicates which factors may be discarded during factorization","None",mumps->id.ICNTL(31),&mumps->id.ICNTL(31),NULL);CHKERRQ(ierr);
1274   /* ierr = PetscOptionsInt("-mat_mumps_icntl_32","ICNTL(32): performs the forward elemination of the right-hand sides during factorization","None",mumps->id.ICNTL(32),&mumps->id.ICNTL(32),NULL);CHKERRQ(ierr);  -- not supported by PETSc API */
1275   ierr = PetscOptionsInt("-mat_mumps_icntl_33","ICNTL(33): compute determinant","None",mumps->id.ICNTL(33),&mumps->id.ICNTL(33),NULL);CHKERRQ(ierr);
1276 
1277   ierr = PetscOptionsReal("-mat_mumps_cntl_1","CNTL(1): relative pivoting threshold","None",mumps->id.CNTL(1),&mumps->id.CNTL(1),NULL);CHKERRQ(ierr);
1278   ierr = PetscOptionsReal("-mat_mumps_cntl_2","CNTL(2): stopping criterion of refinement","None",mumps->id.CNTL(2),&mumps->id.CNTL(2),NULL);CHKERRQ(ierr);
1279   ierr = PetscOptionsReal("-mat_mumps_cntl_3","CNTL(3): absolute pivoting threshold","None",mumps->id.CNTL(3),&mumps->id.CNTL(3),NULL);CHKERRQ(ierr);
1280   ierr = PetscOptionsReal("-mat_mumps_cntl_4","CNTL(4): value for static pivoting","None",mumps->id.CNTL(4),&mumps->id.CNTL(4),NULL);CHKERRQ(ierr);
1281   ierr = PetscOptionsReal("-mat_mumps_cntl_5","CNTL(5): fixation for null pivots","None",mumps->id.CNTL(5),&mumps->id.CNTL(5),NULL);CHKERRQ(ierr);
1282 
1283   ierr = PetscOptionsString("-mat_mumps_ooc_tmpdir", "out of core directory", "None", mumps->id.ooc_tmpdir, mumps->id.ooc_tmpdir, 256, NULL);
1284 
1285   ierr = PetscOptionsIntArray("-mat_mumps_view_info","request INFO local to each processor","",info,&ninfo,NULL);CHKERRQ(ierr);
1286   if (ninfo) {
1287     if (ninfo > 40) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"number of INFO %d must <= 40\n",ninfo);
1288     ierr = PetscMalloc1(ninfo,&mumps->info);CHKERRQ(ierr);
1289     mumps->ninfo = ninfo;
1290     for (i=0; i<ninfo; i++) {
1291       if (info[i] < 0 || info[i]>40) {
1292         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_USER,"index of INFO %d must between 1 and 40\n",ninfo);
1293       } else {
1294         mumps->info[i] = info[i];
1295       }
1296     }
1297   }
1298 
1299   PetscOptionsEnd();
1300   PetscFunctionReturn(0);
1301 }
1302 
1303 #undef __FUNCT__
1304 #define __FUNCT__ "PetscInitializeMUMPS"
1305 PetscErrorCode PetscInitializeMUMPS(Mat A,Mat_MUMPS *mumps)
1306 {
1307   PetscErrorCode ierr;
1308 
1309   PetscFunctionBegin;
1310   ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)A), &mumps->myid);
1311   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)A),&mumps->size);CHKERRQ(ierr);
1312   ierr = MPI_Comm_dup(PetscObjectComm((PetscObject)A),&(mumps->comm_mumps));CHKERRQ(ierr);
1313 
1314   mumps->id.comm_fortran = MPI_Comm_c2f(mumps->comm_mumps);
1315 
1316   mumps->id.job = JOB_INIT;
1317   mumps->id.par = 1;  /* host participates factorizaton and solve */
1318   mumps->id.sym = mumps->sym;
1319   PetscMUMPS_c(&mumps->id);
1320 
1321   mumps->scat_rhs     = NULL;
1322   mumps->scat_sol     = NULL;
1323 
1324   /* set PETSc-MUMPS default options - override MUMPS default */
1325   mumps->id.ICNTL(3) = 0;
1326   mumps->id.ICNTL(4) = 0;
1327   if (mumps->size == 1) {
1328     mumps->id.ICNTL(18) = 0;   /* centralized assembled matrix input */
1329   } else {
1330     mumps->id.ICNTL(18) = 3;   /* distributed assembled matrix input */
1331     mumps->id.ICNTL(20) = 0;   /* rhs is in dense format */
1332     mumps->id.ICNTL(21) = 1;   /* distributed solution */
1333   }
1334 
1335   /* schur */
1336   mumps->id.size_schur      = 0;
1337   mumps->id.listvar_schur   = NULL;
1338   mumps->id.schur           = NULL;
1339   mumps->sizeredrhs         = 0;
1340   mumps->schur_pivots       = NULL;
1341   mumps->schur_work         = NULL;
1342   mumps->schur_sol          = NULL;
1343   mumps->schur_sizesol      = 0;
1344   mumps->schur_factored     = PETSC_FALSE;
1345   mumps->schur_inverted     = PETSC_FALSE;
1346   mumps->schur_sym          = mumps->id.sym;
1347   PetscFunctionReturn(0);
1348 }
1349 
1350 /* Note Petsc r(=c) permutation is used when mumps->id.ICNTL(7)==1 with centralized assembled matrix input; otherwise r and c are ignored */
1351 #undef __FUNCT__
1352 #define __FUNCT__ "MatLUFactorSymbolic_AIJMUMPS"
1353 PetscErrorCode MatLUFactorSymbolic_AIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1354 {
1355   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1356   PetscErrorCode ierr;
1357   Vec            b;
1358   IS             is_iden;
1359   const PetscInt M = A->rmap->N;
1360 
1361   PetscFunctionBegin;
1362   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1363 
1364   /* Set MUMPS options from the options database */
1365   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1366 
1367   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1368 
1369   /* analysis phase */
1370   /*----------------*/
1371   mumps->id.job = JOB_FACTSYMBOLIC;
1372   mumps->id.n   = M;
1373   switch (mumps->id.ICNTL(18)) {
1374   case 0:  /* centralized assembled matrix input */
1375     if (!mumps->myid) {
1376       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1377       if (mumps->id.ICNTL(6)>1) {
1378         mumps->id.a = (MumpsScalar*)mumps->val;
1379       }
1380       if (mumps->id.ICNTL(7) == 1) { /* use user-provide matrix ordering - assuming r = c ordering */
1381         /*
1382         PetscBool      flag;
1383         ierr = ISEqual(r,c,&flag);CHKERRQ(ierr);
1384         if (!flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_USER,"row_perm != col_perm");
1385         ierr = ISView(r,PETSC_VIEWER_STDOUT_SELF);
1386          */
1387         if (!mumps->myid) {
1388           const PetscInt *idx;
1389           PetscInt       i,*perm_in;
1390 
1391           ierr = PetscMalloc1(M,&perm_in);CHKERRQ(ierr);
1392           ierr = ISGetIndices(r,&idx);CHKERRQ(ierr);
1393 
1394           mumps->id.perm_in = perm_in;
1395           for (i=0; i<M; i++) perm_in[i] = idx[i]+1; /* perm_in[]: start from 1, not 0! */
1396           ierr = ISRestoreIndices(r,&idx);CHKERRQ(ierr);
1397         }
1398       }
1399     }
1400     break;
1401   case 3:  /* distributed assembled matrix input (size>1) */
1402     mumps->id.nz_loc = mumps->nz;
1403     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1404     if (mumps->id.ICNTL(6)>1) {
1405       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1406     }
1407     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1408     if (!mumps->myid) {
1409       ierr = VecCreateSeq(PETSC_COMM_SELF,A->rmap->N,&mumps->b_seq);CHKERRQ(ierr);
1410       ierr = ISCreateStride(PETSC_COMM_SELF,A->rmap->N,0,1,&is_iden);CHKERRQ(ierr);
1411     } else {
1412       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1413       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1414     }
1415     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1416     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1417     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1418     ierr = VecDestroy(&b);CHKERRQ(ierr);
1419     break;
1420   }
1421   PetscMUMPS_c(&mumps->id);
1422   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1423 
1424   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1425   F->ops->solve           = MatSolve_MUMPS;
1426   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1427   F->ops->matsolve        = MatMatSolve_MUMPS;
1428   PetscFunctionReturn(0);
1429 }
1430 
1431 /* Note the Petsc r and c permutations are ignored */
1432 #undef __FUNCT__
1433 #define __FUNCT__ "MatLUFactorSymbolic_BAIJMUMPS"
1434 PetscErrorCode MatLUFactorSymbolic_BAIJMUMPS(Mat F,Mat A,IS r,IS c,const MatFactorInfo *info)
1435 {
1436   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1437   PetscErrorCode ierr;
1438   Vec            b;
1439   IS             is_iden;
1440   const PetscInt M = A->rmap->N;
1441 
1442   PetscFunctionBegin;
1443   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1444 
1445   /* Set MUMPS options from the options database */
1446   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1447 
1448   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1449 
1450   /* analysis phase */
1451   /*----------------*/
1452   mumps->id.job = JOB_FACTSYMBOLIC;
1453   mumps->id.n   = M;
1454   switch (mumps->id.ICNTL(18)) {
1455   case 0:  /* centralized assembled matrix input */
1456     if (!mumps->myid) {
1457       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1458       if (mumps->id.ICNTL(6)>1) {
1459         mumps->id.a = (MumpsScalar*)mumps->val;
1460       }
1461     }
1462     break;
1463   case 3:  /* distributed assembled matrix input (size>1) */
1464     mumps->id.nz_loc = mumps->nz;
1465     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1466     if (mumps->id.ICNTL(6)>1) {
1467       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1468     }
1469     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1470     if (!mumps->myid) {
1471       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1472       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1473     } else {
1474       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1475       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1476     }
1477     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1478     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1479     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1480     ierr = VecDestroy(&b);CHKERRQ(ierr);
1481     break;
1482   }
1483   PetscMUMPS_c(&mumps->id);
1484   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1485 
1486   F->ops->lufactornumeric = MatFactorNumeric_MUMPS;
1487   F->ops->solve           = MatSolve_MUMPS;
1488   F->ops->solvetranspose  = MatSolveTranspose_MUMPS;
1489   PetscFunctionReturn(0);
1490 }
1491 
1492 /* Note the Petsc r permutation and factor info are ignored */
1493 #undef __FUNCT__
1494 #define __FUNCT__ "MatCholeskyFactorSymbolic_MUMPS"
1495 PetscErrorCode MatCholeskyFactorSymbolic_MUMPS(Mat F,Mat A,IS r,const MatFactorInfo *info)
1496 {
1497   Mat_MUMPS      *mumps = (Mat_MUMPS*)F->spptr;
1498   PetscErrorCode ierr;
1499   Vec            b;
1500   IS             is_iden;
1501   const PetscInt M = A->rmap->N;
1502 
1503   PetscFunctionBegin;
1504   mumps->matstruc = DIFFERENT_NONZERO_PATTERN;
1505 
1506   /* Set MUMPS options from the options database */
1507   ierr = PetscSetMUMPSFromOptions(F,A);CHKERRQ(ierr);
1508 
1509   ierr = (*mumps->ConvertToTriples)(A, 1, MAT_INITIAL_MATRIX, &mumps->nz, &mumps->irn, &mumps->jcn, &mumps->val);CHKERRQ(ierr);
1510 
1511   /* analysis phase */
1512   /*----------------*/
1513   mumps->id.job = JOB_FACTSYMBOLIC;
1514   mumps->id.n   = M;
1515   switch (mumps->id.ICNTL(18)) {
1516   case 0:  /* centralized assembled matrix input */
1517     if (!mumps->myid) {
1518       mumps->id.nz =mumps->nz; mumps->id.irn=mumps->irn; mumps->id.jcn=mumps->jcn;
1519       if (mumps->id.ICNTL(6)>1) {
1520         mumps->id.a = (MumpsScalar*)mumps->val;
1521       }
1522     }
1523     break;
1524   case 3:  /* distributed assembled matrix input (size>1) */
1525     mumps->id.nz_loc = mumps->nz;
1526     mumps->id.irn_loc=mumps->irn; mumps->id.jcn_loc=mumps->jcn;
1527     if (mumps->id.ICNTL(6)>1) {
1528       mumps->id.a_loc = (MumpsScalar*)mumps->val;
1529     }
1530     /* MUMPS only supports centralized rhs. Create scatter scat_rhs for repeated use in MatSolve() */
1531     if (!mumps->myid) {
1532       ierr = VecCreateSeq(PETSC_COMM_SELF,A->cmap->N,&mumps->b_seq);CHKERRQ(ierr);
1533       ierr = ISCreateStride(PETSC_COMM_SELF,A->cmap->N,0,1,&is_iden);CHKERRQ(ierr);
1534     } else {
1535       ierr = VecCreateSeq(PETSC_COMM_SELF,0,&mumps->b_seq);CHKERRQ(ierr);
1536       ierr = ISCreateStride(PETSC_COMM_SELF,0,0,1,&is_iden);CHKERRQ(ierr);
1537     }
1538     ierr = MatCreateVecs(A,NULL,&b);CHKERRQ(ierr);
1539     ierr = VecScatterCreate(b,is_iden,mumps->b_seq,is_iden,&mumps->scat_rhs);CHKERRQ(ierr);
1540     ierr = ISDestroy(&is_iden);CHKERRQ(ierr);
1541     ierr = VecDestroy(&b);CHKERRQ(ierr);
1542     break;
1543   }
1544   PetscMUMPS_c(&mumps->id);
1545   if (mumps->id.INFOG(1) < 0) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error reported by MUMPS in analysis phase: INFOG(1)=%d\n",mumps->id.INFOG(1));
1546 
1547   F->ops->choleskyfactornumeric = MatFactorNumeric_MUMPS;
1548   F->ops->solve                 = MatSolve_MUMPS;
1549   F->ops->solvetranspose        = MatSolve_MUMPS;
1550   F->ops->matsolve              = MatMatSolve_MUMPS;
1551 #if defined(PETSC_USE_COMPLEX)
1552   F->ops->getinertia = NULL;
1553 #else
1554   F->ops->getinertia = MatGetInertia_SBAIJMUMPS;
1555 #endif
1556   PetscFunctionReturn(0);
1557 }
1558 
1559 #undef __FUNCT__
1560 #define __FUNCT__ "MatView_MUMPS"
1561 PetscErrorCode MatView_MUMPS(Mat A,PetscViewer viewer)
1562 {
1563   PetscErrorCode    ierr;
1564   PetscBool         iascii;
1565   PetscViewerFormat format;
1566   Mat_MUMPS         *mumps=(Mat_MUMPS*)A->spptr;
1567 
1568   PetscFunctionBegin;
1569   /* check if matrix is mumps type */
1570   if (A->ops->solve != MatSolve_MUMPS) PetscFunctionReturn(0);
1571 
1572   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1573   if (iascii) {
1574     ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1575     if (format == PETSC_VIEWER_ASCII_INFO) {
1576       ierr = PetscViewerASCIIPrintf(viewer,"MUMPS run parameters:\n");CHKERRQ(ierr);
1577       ierr = PetscViewerASCIIPrintf(viewer,"  SYM (matrix type):                   %d \n",mumps->id.sym);CHKERRQ(ierr);
1578       ierr = PetscViewerASCIIPrintf(viewer,"  PAR (host participation):            %d \n",mumps->id.par);CHKERRQ(ierr);
1579       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(1) (output for error):         %d \n",mumps->id.ICNTL(1));CHKERRQ(ierr);
1580       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(2) (output of diagnostic msg): %d \n",mumps->id.ICNTL(2));CHKERRQ(ierr);
1581       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(3) (output for global info):   %d \n",mumps->id.ICNTL(3));CHKERRQ(ierr);
1582       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(4) (level of printing):        %d \n",mumps->id.ICNTL(4));CHKERRQ(ierr);
1583       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(5) (input mat struct):         %d \n",mumps->id.ICNTL(5));CHKERRQ(ierr);
1584       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(6) (matrix prescaling):        %d \n",mumps->id.ICNTL(6));CHKERRQ(ierr);
1585       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(7) (sequentia matrix ordering):%d \n",mumps->id.ICNTL(7));CHKERRQ(ierr);
1586       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(8) (scalling strategy):        %d \n",mumps->id.ICNTL(8));CHKERRQ(ierr);
1587       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(10) (max num of refinements):  %d \n",mumps->id.ICNTL(10));CHKERRQ(ierr);
1588       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(11) (error analysis):          %d \n",mumps->id.ICNTL(11));CHKERRQ(ierr);
1589       if (mumps->id.ICNTL(11)>0) {
1590         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(4) (inf norm of input mat):        %g\n",mumps->id.RINFOG(4));CHKERRQ(ierr);
1591         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(5) (inf norm of solution):         %g\n",mumps->id.RINFOG(5));CHKERRQ(ierr);
1592         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(6) (inf norm of residual):         %g\n",mumps->id.RINFOG(6));CHKERRQ(ierr);
1593         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(7),RINFOG(8) (backward error est): %g, %g\n",mumps->id.RINFOG(7),mumps->id.RINFOG(8));CHKERRQ(ierr);
1594         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(9) (error estimate):               %g \n",mumps->id.RINFOG(9));CHKERRQ(ierr);
1595         ierr = PetscViewerASCIIPrintf(viewer,"    RINFOG(10),RINFOG(11)(condition numbers): %g, %g\n",mumps->id.RINFOG(10),mumps->id.RINFOG(11));CHKERRQ(ierr);
1596       }
1597       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(12) (efficiency control):                         %d \n",mumps->id.ICNTL(12));CHKERRQ(ierr);
1598       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(13) (efficiency control):                         %d \n",mumps->id.ICNTL(13));CHKERRQ(ierr);
1599       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(14) (percentage of estimated workspace increase): %d \n",mumps->id.ICNTL(14));CHKERRQ(ierr);
1600       /* ICNTL(15-17) not used */
1601       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(18) (input mat struct):                           %d \n",mumps->id.ICNTL(18));CHKERRQ(ierr);
1602       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(19) (Shur complement info):                       %d \n",mumps->id.ICNTL(19));CHKERRQ(ierr);
1603       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(20) (rhs sparse pattern):                         %d \n",mumps->id.ICNTL(20));CHKERRQ(ierr);
1604       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(21) (solution struct):                            %d \n",mumps->id.ICNTL(21));CHKERRQ(ierr);
1605       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(22) (in-core/out-of-core facility):               %d \n",mumps->id.ICNTL(22));CHKERRQ(ierr);
1606       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(23) (max size of memory can be allocated locally):%d \n",mumps->id.ICNTL(23));CHKERRQ(ierr);
1607 
1608       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(24) (detection of null pivot rows):               %d \n",mumps->id.ICNTL(24));CHKERRQ(ierr);
1609       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(25) (computation of a null space basis):          %d \n",mumps->id.ICNTL(25));CHKERRQ(ierr);
1610       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(26) (Schur options for rhs or solution):          %d \n",mumps->id.ICNTL(26));CHKERRQ(ierr);
1611       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(27) (experimental parameter):                     %d \n",mumps->id.ICNTL(27));CHKERRQ(ierr);
1612       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(28) (use parallel or sequential ordering):        %d \n",mumps->id.ICNTL(28));CHKERRQ(ierr);
1613       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(29) (parallel ordering):                          %d \n",mumps->id.ICNTL(29));CHKERRQ(ierr);
1614 
1615       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(30) (user-specified set of entries in inv(A)):    %d \n",mumps->id.ICNTL(30));CHKERRQ(ierr);
1616       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(31) (factors is discarded in the solve phase):    %d \n",mumps->id.ICNTL(31));CHKERRQ(ierr);
1617       ierr = PetscViewerASCIIPrintf(viewer,"  ICNTL(33) (compute determinant):                        %d \n",mumps->id.ICNTL(33));CHKERRQ(ierr);
1618 
1619       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(1) (relative pivoting threshold):      %g \n",mumps->id.CNTL(1));CHKERRQ(ierr);
1620       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(2) (stopping criterion of refinement): %g \n",mumps->id.CNTL(2));CHKERRQ(ierr);
1621       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(3) (absolute pivoting threshold):      %g \n",mumps->id.CNTL(3));CHKERRQ(ierr);
1622       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(4) (value of static pivoting):         %g \n",mumps->id.CNTL(4));CHKERRQ(ierr);
1623       ierr = PetscViewerASCIIPrintf(viewer,"  CNTL(5) (fixation for null pivots):         %g \n",mumps->id.CNTL(5));CHKERRQ(ierr);
1624 
1625       /* infomation local to each processor */
1626       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(1) (local estimated flops for the elimination after analysis): \n");CHKERRQ(ierr);
1627       ierr = PetscViewerASCIIPushSynchronized(viewer);CHKERRQ(ierr);
1628       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %g \n",mumps->myid,mumps->id.RINFO(1));CHKERRQ(ierr);
1629       ierr = PetscViewerFlush(viewer);
1630       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(2) (local estimated flops for the assembly after factorization): \n");CHKERRQ(ierr);
1631       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(2));CHKERRQ(ierr);
1632       ierr = PetscViewerFlush(viewer);
1633       ierr = PetscViewerASCIIPrintf(viewer, "  RINFO(3) (local estimated flops for the elimination after factorization): \n");CHKERRQ(ierr);
1634       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d]  %g \n",mumps->myid,mumps->id.RINFO(3));CHKERRQ(ierr);
1635       ierr = PetscViewerFlush(viewer);
1636 
1637       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(15) (estimated size of (in MB) MUMPS internal data for running numerical factorization): \n");CHKERRQ(ierr);
1638       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"  [%d] %d \n",mumps->myid,mumps->id.INFO(15));CHKERRQ(ierr);
1639       ierr = PetscViewerFlush(viewer);
1640 
1641       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(16) (size of (in MB) MUMPS internal data used during numerical factorization): \n");CHKERRQ(ierr);
1642       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(16));CHKERRQ(ierr);
1643       ierr = PetscViewerFlush(viewer);
1644 
1645       ierr = PetscViewerASCIIPrintf(viewer, "  INFO(23) (num of pivots eliminated on this processor after factorization): \n");CHKERRQ(ierr);
1646       ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(23));CHKERRQ(ierr);
1647       ierr = PetscViewerFlush(viewer);
1648 
1649       if (mumps->ninfo && mumps->ninfo <= 40){
1650         PetscInt i;
1651         for (i=0; i<mumps->ninfo; i++){
1652           ierr = PetscViewerASCIIPrintf(viewer, "  INFO(%d): \n",mumps->info[i]);CHKERRQ(ierr);
1653           ierr = PetscViewerASCIISynchronizedPrintf(viewer,"    [%d] %d \n",mumps->myid,mumps->id.INFO(mumps->info[i]));CHKERRQ(ierr);
1654           ierr = PetscViewerFlush(viewer);
1655         }
1656       }
1657 
1658 
1659       ierr = PetscViewerASCIIPopSynchronized(viewer);CHKERRQ(ierr);
1660 
1661       if (!mumps->myid) { /* information from the host */
1662         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(1) (global estimated flops for the elimination after analysis): %g \n",mumps->id.RINFOG(1));CHKERRQ(ierr);
1663         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(2) (global estimated flops for the assembly after factorization): %g \n",mumps->id.RINFOG(2));CHKERRQ(ierr);
1664         ierr = PetscViewerASCIIPrintf(viewer,"  RINFOG(3) (global estimated flops for the elimination after factorization): %g \n",mumps->id.RINFOG(3));CHKERRQ(ierr);
1665         ierr = PetscViewerASCIIPrintf(viewer,"  (RINFOG(12) RINFOG(13))*2^INFOG(34) (determinant): (%g,%g)*(2^%d)\n",mumps->id.RINFOG(12),mumps->id.RINFOG(13),mumps->id.INFOG(34));CHKERRQ(ierr);
1666 
1667         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(3) (estimated real workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(3));CHKERRQ(ierr);
1668         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(4) (estimated integer workspace for factors on all processors after analysis): %d \n",mumps->id.INFOG(4));CHKERRQ(ierr);
1669         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(5) (estimated maximum front size in the complete tree): %d \n",mumps->id.INFOG(5));CHKERRQ(ierr);
1670         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(6) (number of nodes in the complete tree): %d \n",mumps->id.INFOG(6));CHKERRQ(ierr);
1671         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(7) (ordering option effectively use after analysis): %d \n",mumps->id.INFOG(7));CHKERRQ(ierr);
1672         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(8) (structural symmetry in percent of the permuted matrix after analysis): %d \n",mumps->id.INFOG(8));CHKERRQ(ierr);
1673         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(9) (total real/complex workspace to store the matrix factors after factorization): %d \n",mumps->id.INFOG(9));CHKERRQ(ierr);
1674         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(10) (total integer space store the matrix factors after factorization): %d \n",mumps->id.INFOG(10));CHKERRQ(ierr);
1675         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(11) (order of largest frontal matrix after factorization): %d \n",mumps->id.INFOG(11));CHKERRQ(ierr);
1676         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(12) (number of off-diagonal pivots): %d \n",mumps->id.INFOG(12));CHKERRQ(ierr);
1677         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(13) (number of delayed pivots after factorization): %d \n",mumps->id.INFOG(13));CHKERRQ(ierr);
1678         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(14) (number of memory compress after factorization): %d \n",mumps->id.INFOG(14));CHKERRQ(ierr);
1679         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(15) (number of steps of iterative refinement after solution): %d \n",mumps->id.INFOG(15));CHKERRQ(ierr);
1680         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(16) (estimated size (in MB) of all MUMPS internal data for factorization after analysis: value on the most memory consuming processor): %d \n",mumps->id.INFOG(16));CHKERRQ(ierr);
1681         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(17) (estimated size of all MUMPS internal data for factorization after analysis: sum over all processors): %d \n",mumps->id.INFOG(17));CHKERRQ(ierr);
1682         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(18) (size of all MUMPS internal data allocated during factorization: value on the most memory consuming processor): %d \n",mumps->id.INFOG(18));CHKERRQ(ierr);
1683         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(19) (size of all MUMPS internal data allocated during factorization: sum over all processors): %d \n",mumps->id.INFOG(19));CHKERRQ(ierr);
1684         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(20) (estimated number of entries in the factors): %d \n",mumps->id.INFOG(20));CHKERRQ(ierr);
1685         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(21) (size in MB of memory effectively used during factorization - value on the most memory consuming processor): %d \n",mumps->id.INFOG(21));CHKERRQ(ierr);
1686         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(22) (size in MB of memory effectively used during factorization - sum over all processors): %d \n",mumps->id.INFOG(22));CHKERRQ(ierr);
1687         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(23) (after analysis: value of ICNTL(6) effectively used): %d \n",mumps->id.INFOG(23));CHKERRQ(ierr);
1688         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(24) (after analysis: value of ICNTL(12) effectively used): %d \n",mumps->id.INFOG(24));CHKERRQ(ierr);
1689         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(25) (after factorization: number of pivots modified by static pivoting): %d \n",mumps->id.INFOG(25));CHKERRQ(ierr);
1690         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(28) (after factorization: number of null pivots encountered): %d\n",mumps->id.INFOG(28));CHKERRQ(ierr);
1691         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(29) (after factorization: effective number of entries in the factors (sum over all processors)): %d\n",mumps->id.INFOG(29));CHKERRQ(ierr);
1692         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(30, 31) (after solution: size in Mbytes of memory used during solution phase): %d, %d\n",mumps->id.INFOG(30),mumps->id.INFOG(31));CHKERRQ(ierr);
1693         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(32) (after analysis: type of analysis done): %d\n",mumps->id.INFOG(32));CHKERRQ(ierr);
1694         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(33) (value used for ICNTL(8)): %d\n",mumps->id.INFOG(33));CHKERRQ(ierr);
1695         ierr = PetscViewerASCIIPrintf(viewer,"  INFOG(34) (exponent of the determinant if determinant is requested): %d\n",mumps->id.INFOG(34));CHKERRQ(ierr);
1696       }
1697     }
1698   }
1699   PetscFunctionReturn(0);
1700 }
1701 
1702 #undef __FUNCT__
1703 #define __FUNCT__ "MatGetInfo_MUMPS"
1704 PetscErrorCode MatGetInfo_MUMPS(Mat A,MatInfoType flag,MatInfo *info)
1705 {
1706   Mat_MUMPS *mumps =(Mat_MUMPS*)A->spptr;
1707 
1708   PetscFunctionBegin;
1709   info->block_size        = 1.0;
1710   info->nz_allocated      = mumps->id.INFOG(20);
1711   info->nz_used           = mumps->id.INFOG(20);
1712   info->nz_unneeded       = 0.0;
1713   info->assemblies        = 0.0;
1714   info->mallocs           = 0.0;
1715   info->memory            = 0.0;
1716   info->fill_ratio_given  = 0;
1717   info->fill_ratio_needed = 0;
1718   info->factor_mallocs    = 0;
1719   PetscFunctionReturn(0);
1720 }
1721 
1722 /* -------------------------------------------------------------------------------------------*/
1723 #undef __FUNCT__
1724 #define __FUNCT__ "MatFactorSetSchurIS_MUMPS"
1725 PetscErrorCode MatFactorSetSchurIS_MUMPS(Mat F, IS is)
1726 {
1727   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1728   const PetscInt *idxs;
1729   PetscInt       size,i;
1730   PetscErrorCode ierr;
1731 
1732   PetscFunctionBegin;
1733   if (mumps->size > 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"MUMPS parallel Schur complements not yet supported from PETSc\n");
1734   ierr = ISGetLocalSize(is,&size);CHKERRQ(ierr);
1735   if (mumps->id.size_schur != size) {
1736     ierr = PetscFree2(mumps->id.listvar_schur,mumps->id.schur);CHKERRQ(ierr);
1737     mumps->id.size_schur = size;
1738     mumps->id.schur_lld = size;
1739     ierr = PetscMalloc2(size,&mumps->id.listvar_schur,size*size,&mumps->id.schur);CHKERRQ(ierr);
1740   }
1741   ierr = ISGetIndices(is,&idxs);CHKERRQ(ierr);
1742   ierr = PetscMemcpy(mumps->id.listvar_schur,idxs,size*sizeof(PetscInt));CHKERRQ(ierr);
1743   /* MUMPS expects Fortran style indices */
1744   for (i=0;i<size;i++) mumps->id.listvar_schur[i]++;
1745   ierr = ISRestoreIndices(is,&idxs);CHKERRQ(ierr);
1746   if (size) { /* turn on Schur switch if we the set of indices is not empty */
1747     if (F->factortype == MAT_FACTOR_LU) {
1748       mumps->id.ICNTL(19) = 3; /* MUMPS returns full matrix */
1749     } else {
1750       mumps->id.ICNTL(19) = 2; /* MUMPS returns lower triangular part */
1751     }
1752     /* set a special value of ICNTL (not handled my MUMPS) to be used in the solve phase by PETSc */
1753     mumps->id.ICNTL(26) = -1;
1754   }
1755   PetscFunctionReturn(0);
1756 }
1757 
1758 /* -------------------------------------------------------------------------------------------*/
1759 #undef __FUNCT__
1760 #define __FUNCT__ "MatFactorCreateSchurComplement_MUMPS"
1761 PetscErrorCode MatFactorCreateSchurComplement_MUMPS(Mat F,Mat* S)
1762 {
1763   Mat            St;
1764   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1765   PetscScalar    *array;
1766 #if defined(PETSC_USE_COMPLEX)
1767   PetscScalar    im = PetscSqrtScalar((PetscScalar)-1.0);
1768 #endif
1769   PetscErrorCode ierr;
1770 
1771   PetscFunctionBegin;
1772   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1773   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1774 
1775   ierr = MatCreate(PetscObjectComm((PetscObject)F),&St);CHKERRQ(ierr);
1776   ierr = MatSetSizes(St,PETSC_DECIDE,PETSC_DECIDE,mumps->id.size_schur,mumps->id.size_schur);CHKERRQ(ierr);
1777   ierr = MatSetType(St,MATDENSE);CHKERRQ(ierr);
1778   ierr = MatSetUp(St);CHKERRQ(ierr);
1779   ierr = MatDenseGetArray(St,&array);CHKERRQ(ierr);
1780   if (!mumps->sym) { /* MUMPS always return a full matrix */
1781     if (mumps->id.ICNTL(19) == 1) { /* stored by rows */
1782       PetscInt i,j,N=mumps->id.size_schur;
1783       for (i=0;i<N;i++) {
1784         for (j=0;j<N;j++) {
1785 #if !defined(PETSC_USE_COMPLEX)
1786           PetscScalar val = mumps->id.schur[i*N+j];
1787 #else
1788           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1789 #endif
1790           array[j*N+i] = val;
1791         }
1792       }
1793     } else { /* stored by columns */
1794       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1795     }
1796   } else { /* either full or lower-triangular (not packed) */
1797     if (mumps->id.ICNTL(19) == 2) { /* lower triangular stored by columns */
1798       PetscInt i,j,N=mumps->id.size_schur;
1799       for (i=0;i<N;i++) {
1800         for (j=i;j<N;j++) {
1801 #if !defined(PETSC_USE_COMPLEX)
1802           PetscScalar val = mumps->id.schur[i*N+j];
1803 #else
1804           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1805 #endif
1806           array[i*N+j] = val;
1807           array[j*N+i] = val;
1808         }
1809       }
1810     } else if (mumps->id.ICNTL(19) == 3) { /* full matrix */
1811       ierr = PetscMemcpy(array,mumps->id.schur,mumps->id.size_schur*mumps->id.size_schur*sizeof(PetscScalar));CHKERRQ(ierr);
1812     } else { /* ICNTL(19) == 1 lower triangular stored by rows */
1813       PetscInt i,j,N=mumps->id.size_schur;
1814       for (i=0;i<N;i++) {
1815         for (j=0;j<i+1;j++) {
1816 #if !defined(PETSC_USE_COMPLEX)
1817           PetscScalar val = mumps->id.schur[i*N+j];
1818 #else
1819           PetscScalar val = mumps->id.schur[i*N+j].r + im*mumps->id.schur[i*N+j].i;
1820 #endif
1821           array[i*N+j] = val;
1822           array[j*N+i] = val;
1823         }
1824       }
1825     }
1826   }
1827   ierr = MatDenseRestoreArray(St,&array);CHKERRQ(ierr);
1828   *S = St;
1829   PetscFunctionReturn(0);
1830 }
1831 
1832 /* -------------------------------------------------------------------------------------------*/
1833 #undef __FUNCT__
1834 #define __FUNCT__ "MatFactorGetSchurComplement_MUMPS"
1835 PetscErrorCode MatFactorGetSchurComplement_MUMPS(Mat F,Mat* S)
1836 {
1837   Mat            St;
1838   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1839   PetscErrorCode ierr;
1840 
1841   PetscFunctionBegin;
1842   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1843   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1844 
1845   /* It should be the responsibility of the user to handle different ICNTL(19) cases and factorization stages if they want to work with the raw data */
1846   ierr = MatCreateSeqDense(PetscObjectComm((PetscObject)F),mumps->id.size_schur,mumps->id.size_schur,(PetscScalar*)mumps->id.schur,&St);CHKERRQ(ierr);
1847   *S = St;
1848   PetscFunctionReturn(0);
1849 }
1850 
1851 /* -------------------------------------------------------------------------------------------*/
1852 #undef __FUNCT__
1853 #define __FUNCT__ "MatFactorFactorizeSchurComplement_MUMPS"
1854 PetscErrorCode MatFactorFactorizeSchurComplement_MUMPS(Mat F)
1855 {
1856   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1857   PetscErrorCode ierr;
1858 
1859   PetscFunctionBegin;
1860   if (!mumps->id.ICNTL(19)) { /* do nothing */
1861     PetscFunctionReturn(0);
1862   }
1863   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatMumpsSetSchurIndices before");
1864   ierr = MatMumpsFactorSchur_Private(mumps);CHKERRQ(ierr);
1865   PetscFunctionReturn(0);
1866 }
1867 
1868 #undef __FUNCT__
1869 #define __FUNCT__ "MatFactorInvertSchurComplement_MUMPS"
1870 PetscErrorCode MatFactorInvertSchurComplement_MUMPS(Mat F)
1871 {
1872   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1873   PetscErrorCode ierr;
1874 
1875   PetscFunctionBegin;
1876   if (!mumps->id.ICNTL(19)) { /* do nothing */
1877     PetscFunctionReturn(0);
1878   }
1879   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1880   ierr = MatMumpsInvertSchur_Private(mumps);CHKERRQ(ierr);
1881   PetscFunctionReturn(0);
1882 }
1883 
1884 /* -------------------------------------------------------------------------------------------*/
1885 #undef __FUNCT__
1886 #define __FUNCT__ "MatFactorSolveSchurComplement_MUMPS"
1887 PetscErrorCode MatFactorSolveSchurComplement_MUMPS(Mat F, Vec rhs, Vec sol)
1888 {
1889   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1890   MumpsScalar    *orhs;
1891   PetscScalar    *osol,*nrhs,*nsol;
1892   PetscInt       orhs_size,osol_size,olrhs_size;
1893   PetscErrorCode ierr;
1894 
1895   PetscFunctionBegin;
1896   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1897   if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1898 
1899   /* swap pointers */
1900   orhs = mumps->id.redrhs;
1901   olrhs_size = mumps->id.lredrhs;
1902   orhs_size = mumps->sizeredrhs;
1903   osol = mumps->schur_sol;
1904   osol_size = mumps->schur_sizesol;
1905   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1906   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1907   mumps->id.redrhs = (MumpsScalar*)nrhs;
1908   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1909   mumps->id.lredrhs = mumps->sizeredrhs;
1910   mumps->schur_sol = nsol;
1911   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1912 
1913   /* solve Schur complement */
1914   mumps->id.nrhs = 1;
1915   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1916   /* restore pointers */
1917   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1918   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1919   mumps->id.redrhs = orhs;
1920   mumps->id.lredrhs = olrhs_size;
1921   mumps->sizeredrhs = orhs_size;
1922   mumps->schur_sol = osol;
1923   mumps->schur_sizesol = osol_size;
1924   PetscFunctionReturn(0);
1925 }
1926 
1927 /* -------------------------------------------------------------------------------------------*/
1928 #undef __FUNCT__
1929 #define __FUNCT__ "MatFactorSolveSchurComplementTranspose_MUMPS"
1930 PetscErrorCode MatFactorSolveSchurComplementTranspose_MUMPS(Mat F, Vec rhs, Vec sol)
1931 {
1932   Mat_MUMPS      *mumps =(Mat_MUMPS*)F->spptr;
1933   MumpsScalar    *orhs;
1934   PetscScalar    *osol,*nrhs,*nsol;
1935   PetscInt       orhs_size,osol_size;
1936   PetscErrorCode ierr;
1937 
1938   PetscFunctionBegin;
1939   if (!mumps->id.ICNTL(19)) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur complement mode not selected! You should call MatFactorSetSchurIS to enable it");
1940   else if (!mumps->id.size_schur) SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ORDER,"Schur indices not set! You should call MatFactorSetSchurIS before");
1941 
1942   /* swap pointers */
1943   orhs = mumps->id.redrhs;
1944   orhs_size = mumps->sizeredrhs;
1945   osol = mumps->schur_sol;
1946   osol_size = mumps->schur_sizesol;
1947   ierr = VecGetArray(rhs,&nrhs);CHKERRQ(ierr);
1948   ierr = VecGetArray(sol,&nsol);CHKERRQ(ierr);
1949   mumps->id.redrhs = (MumpsScalar*)nrhs;
1950   ierr = VecGetLocalSize(rhs,&mumps->sizeredrhs);CHKERRQ(ierr);
1951   mumps->schur_sol = nsol;
1952   ierr = VecGetLocalSize(sol,&mumps->schur_sizesol);CHKERRQ(ierr);
1953 
1954   /* solve Schur complement */
1955   mumps->id.nrhs = 1;
1956   mumps->id.ICNTL(9) = 0;
1957   ierr = MatMumpsSolveSchur_Private(mumps,PETSC_FALSE);CHKERRQ(ierr);
1958   mumps->id.ICNTL(9) = 1;
1959   /* restore pointers */
1960   ierr = VecRestoreArray(rhs,&nrhs);CHKERRQ(ierr);
1961   ierr = VecRestoreArray(sol,&nsol);CHKERRQ(ierr);
1962   mumps->id.redrhs = orhs;
1963   mumps->sizeredrhs = orhs_size;
1964   mumps->schur_sol = osol;
1965   mumps->schur_sizesol = osol_size;
1966   PetscFunctionReturn(0);
1967 }
1968 
1969 /* -------------------------------------------------------------------------------------------*/
1970 #undef __FUNCT__
1971 #define __FUNCT__ "MatFactorSetSchurComplementSolverType_MUMPS"
1972 PetscErrorCode MatFactorSetSchurComplementSolverType_MUMPS(Mat F, PetscInt sym)
1973 {
1974   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1975 
1976   PetscFunctionBegin;
1977   if (mumps->schur_factored && mumps->sym != mumps->schur_sym) {
1978     SETERRQ(PetscObjectComm((PetscObject)F),PETSC_ERR_ARG_WRONG,"Cannot change the Schur solver! Schur complement data has been already factored");
1979   }
1980   mumps->schur_sym = sym;
1981   PetscFunctionReturn(0);
1982 }
1983 
1984 /* -------------------------------------------------------------------------------------------*/
1985 #undef __FUNCT__
1986 #define __FUNCT__ "MatMumpsSetIcntl_MUMPS"
1987 PetscErrorCode MatMumpsSetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt ival)
1988 {
1989   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
1990 
1991   PetscFunctionBegin;
1992   mumps->id.ICNTL(icntl) = ival;
1993   PetscFunctionReturn(0);
1994 }
1995 
1996 #undef __FUNCT__
1997 #define __FUNCT__ "MatMumpsGetIcntl_MUMPS"
1998 PetscErrorCode MatMumpsGetIcntl_MUMPS(Mat F,PetscInt icntl,PetscInt *ival)
1999 {
2000   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2001 
2002   PetscFunctionBegin;
2003   *ival = mumps->id.ICNTL(icntl);
2004   PetscFunctionReturn(0);
2005 }
2006 
2007 #undef __FUNCT__
2008 #define __FUNCT__ "MatMumpsSetIcntl"
2009 /*@
2010   MatMumpsSetIcntl - Set MUMPS parameter ICNTL()
2011 
2012    Logically Collective on Mat
2013 
2014    Input Parameters:
2015 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2016 .  icntl - index of MUMPS parameter array ICNTL()
2017 -  ival - value of MUMPS ICNTL(icntl)
2018 
2019   Options Database:
2020 .   -mat_mumps_icntl_<icntl> <ival>
2021 
2022    Level: beginner
2023 
2024    References: MUMPS Users' Guide
2025 
2026 .seealso: MatGetFactor()
2027 @*/
2028 PetscErrorCode MatMumpsSetIcntl(Mat F,PetscInt icntl,PetscInt ival)
2029 {
2030   PetscErrorCode ierr;
2031 
2032   PetscFunctionBegin;
2033   PetscValidLogicalCollectiveInt(F,icntl,2);
2034   PetscValidLogicalCollectiveInt(F,ival,3);
2035   ierr = PetscTryMethod(F,"MatMumpsSetIcntl_C",(Mat,PetscInt,PetscInt),(F,icntl,ival));CHKERRQ(ierr);
2036   PetscFunctionReturn(0);
2037 }
2038 
2039 #undef __FUNCT__
2040 #define __FUNCT__ "MatMumpsGetIcntl"
2041 /*@
2042   MatMumpsGetIcntl - Get MUMPS parameter ICNTL()
2043 
2044    Logically Collective on Mat
2045 
2046    Input Parameters:
2047 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2048 -  icntl - index of MUMPS parameter array ICNTL()
2049 
2050   Output Parameter:
2051 .  ival - value of MUMPS ICNTL(icntl)
2052 
2053    Level: beginner
2054 
2055    References: MUMPS Users' Guide
2056 
2057 .seealso: MatGetFactor()
2058 @*/
2059 PetscErrorCode MatMumpsGetIcntl(Mat F,PetscInt icntl,PetscInt *ival)
2060 {
2061   PetscErrorCode ierr;
2062 
2063   PetscFunctionBegin;
2064   PetscValidLogicalCollectiveInt(F,icntl,2);
2065   PetscValidIntPointer(ival,3);
2066   ierr = PetscTryMethod(F,"MatMumpsGetIcntl_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2067   PetscFunctionReturn(0);
2068 }
2069 
2070 /* -------------------------------------------------------------------------------------------*/
2071 #undef __FUNCT__
2072 #define __FUNCT__ "MatMumpsSetCntl_MUMPS"
2073 PetscErrorCode MatMumpsSetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal val)
2074 {
2075   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2076 
2077   PetscFunctionBegin;
2078   mumps->id.CNTL(icntl) = val;
2079   PetscFunctionReturn(0);
2080 }
2081 
2082 #undef __FUNCT__
2083 #define __FUNCT__ "MatMumpsGetCntl_MUMPS"
2084 PetscErrorCode MatMumpsGetCntl_MUMPS(Mat F,PetscInt icntl,PetscReal *val)
2085 {
2086   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2087 
2088   PetscFunctionBegin;
2089   *val = mumps->id.CNTL(icntl);
2090   PetscFunctionReturn(0);
2091 }
2092 
2093 #undef __FUNCT__
2094 #define __FUNCT__ "MatMumpsSetCntl"
2095 /*@
2096   MatMumpsSetCntl - Set MUMPS parameter CNTL()
2097 
2098    Logically Collective on Mat
2099 
2100    Input Parameters:
2101 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2102 .  icntl - index of MUMPS parameter array CNTL()
2103 -  val - value of MUMPS CNTL(icntl)
2104 
2105   Options Database:
2106 .   -mat_mumps_cntl_<icntl> <val>
2107 
2108    Level: beginner
2109 
2110    References: MUMPS Users' Guide
2111 
2112 .seealso: MatGetFactor()
2113 @*/
2114 PetscErrorCode MatMumpsSetCntl(Mat F,PetscInt icntl,PetscReal val)
2115 {
2116   PetscErrorCode ierr;
2117 
2118   PetscFunctionBegin;
2119   PetscValidLogicalCollectiveInt(F,icntl,2);
2120   PetscValidLogicalCollectiveReal(F,val,3);
2121   ierr = PetscTryMethod(F,"MatMumpsSetCntl_C",(Mat,PetscInt,PetscReal),(F,icntl,val));CHKERRQ(ierr);
2122   PetscFunctionReturn(0);
2123 }
2124 
2125 #undef __FUNCT__
2126 #define __FUNCT__ "MatMumpsGetCntl"
2127 /*@
2128   MatMumpsGetCntl - Get MUMPS parameter CNTL()
2129 
2130    Logically Collective on Mat
2131 
2132    Input Parameters:
2133 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2134 -  icntl - index of MUMPS parameter array CNTL()
2135 
2136   Output Parameter:
2137 .  val - value of MUMPS CNTL(icntl)
2138 
2139    Level: beginner
2140 
2141    References: MUMPS Users' Guide
2142 
2143 .seealso: MatGetFactor()
2144 @*/
2145 PetscErrorCode MatMumpsGetCntl(Mat F,PetscInt icntl,PetscReal *val)
2146 {
2147   PetscErrorCode ierr;
2148 
2149   PetscFunctionBegin;
2150   PetscValidLogicalCollectiveInt(F,icntl,2);
2151   PetscValidRealPointer(val,3);
2152   ierr = PetscTryMethod(F,"MatMumpsGetCntl_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2153   PetscFunctionReturn(0);
2154 }
2155 
2156 #undef __FUNCT__
2157 #define __FUNCT__ "MatMumpsGetInfo_MUMPS"
2158 PetscErrorCode MatMumpsGetInfo_MUMPS(Mat F,PetscInt icntl,PetscInt *info)
2159 {
2160   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2161 
2162   PetscFunctionBegin;
2163   *info = mumps->id.INFO(icntl);
2164   PetscFunctionReturn(0);
2165 }
2166 
2167 #undef __FUNCT__
2168 #define __FUNCT__ "MatMumpsGetInfog_MUMPS"
2169 PetscErrorCode MatMumpsGetInfog_MUMPS(Mat F,PetscInt icntl,PetscInt *infog)
2170 {
2171   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2172 
2173   PetscFunctionBegin;
2174   *infog = mumps->id.INFOG(icntl);
2175   PetscFunctionReturn(0);
2176 }
2177 
2178 #undef __FUNCT__
2179 #define __FUNCT__ "MatMumpsGetRinfo_MUMPS"
2180 PetscErrorCode MatMumpsGetRinfo_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfo)
2181 {
2182   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2183 
2184   PetscFunctionBegin;
2185   *rinfo = mumps->id.RINFO(icntl);
2186   PetscFunctionReturn(0);
2187 }
2188 
2189 #undef __FUNCT__
2190 #define __FUNCT__ "MatMumpsGetRinfog_MUMPS"
2191 PetscErrorCode MatMumpsGetRinfog_MUMPS(Mat F,PetscInt icntl,PetscReal *rinfog)
2192 {
2193   Mat_MUMPS *mumps =(Mat_MUMPS*)F->spptr;
2194 
2195   PetscFunctionBegin;
2196   *rinfog = mumps->id.RINFOG(icntl);
2197   PetscFunctionReturn(0);
2198 }
2199 
2200 #undef __FUNCT__
2201 #define __FUNCT__ "MatMumpsGetInfo"
2202 /*@
2203   MatMumpsGetInfo - Get MUMPS parameter INFO()
2204 
2205    Logically Collective on Mat
2206 
2207    Input Parameters:
2208 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2209 -  icntl - index of MUMPS parameter array INFO()
2210 
2211   Output Parameter:
2212 .  ival - value of MUMPS INFO(icntl)
2213 
2214    Level: beginner
2215 
2216    References: MUMPS Users' Guide
2217 
2218 .seealso: MatGetFactor()
2219 @*/
2220 PetscErrorCode MatMumpsGetInfo(Mat F,PetscInt icntl,PetscInt *ival)
2221 {
2222   PetscErrorCode ierr;
2223 
2224   PetscFunctionBegin;
2225   PetscValidIntPointer(ival,3);
2226   ierr = PetscTryMethod(F,"MatMumpsGetInfo_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2227   PetscFunctionReturn(0);
2228 }
2229 
2230 #undef __FUNCT__
2231 #define __FUNCT__ "MatMumpsGetInfog"
2232 /*@
2233   MatMumpsGetInfog - Get MUMPS parameter INFOG()
2234 
2235    Logically Collective on Mat
2236 
2237    Input Parameters:
2238 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2239 -  icntl - index of MUMPS parameter array INFOG()
2240 
2241   Output Parameter:
2242 .  ival - value of MUMPS INFOG(icntl)
2243 
2244    Level: beginner
2245 
2246    References: MUMPS Users' Guide
2247 
2248 .seealso: MatGetFactor()
2249 @*/
2250 PetscErrorCode MatMumpsGetInfog(Mat F,PetscInt icntl,PetscInt *ival)
2251 {
2252   PetscErrorCode ierr;
2253 
2254   PetscFunctionBegin;
2255   PetscValidIntPointer(ival,3);
2256   ierr = PetscTryMethod(F,"MatMumpsGetInfog_C",(Mat,PetscInt,PetscInt*),(F,icntl,ival));CHKERRQ(ierr);
2257   PetscFunctionReturn(0);
2258 }
2259 
2260 #undef __FUNCT__
2261 #define __FUNCT__ "MatMumpsGetRinfo"
2262 /*@
2263   MatMumpsGetRinfo - Get MUMPS parameter RINFO()
2264 
2265    Logically Collective on Mat
2266 
2267    Input Parameters:
2268 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2269 -  icntl - index of MUMPS parameter array RINFO()
2270 
2271   Output Parameter:
2272 .  val - value of MUMPS RINFO(icntl)
2273 
2274    Level: beginner
2275 
2276    References: MUMPS Users' Guide
2277 
2278 .seealso: MatGetFactor()
2279 @*/
2280 PetscErrorCode MatMumpsGetRinfo(Mat F,PetscInt icntl,PetscReal *val)
2281 {
2282   PetscErrorCode ierr;
2283 
2284   PetscFunctionBegin;
2285   PetscValidRealPointer(val,3);
2286   ierr = PetscTryMethod(F,"MatMumpsGetRinfo_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2287   PetscFunctionReturn(0);
2288 }
2289 
2290 #undef __FUNCT__
2291 #define __FUNCT__ "MatMumpsGetRinfog"
2292 /*@
2293   MatMumpsGetRinfog - Get MUMPS parameter RINFOG()
2294 
2295    Logically Collective on Mat
2296 
2297    Input Parameters:
2298 +  F - the factored matrix obtained by calling MatGetFactor() from PETSc-MUMPS interface
2299 -  icntl - index of MUMPS parameter array RINFOG()
2300 
2301   Output Parameter:
2302 .  val - value of MUMPS RINFOG(icntl)
2303 
2304    Level: beginner
2305 
2306    References: MUMPS Users' Guide
2307 
2308 .seealso: MatGetFactor()
2309 @*/
2310 PetscErrorCode MatMumpsGetRinfog(Mat F,PetscInt icntl,PetscReal *val)
2311 {
2312   PetscErrorCode ierr;
2313 
2314   PetscFunctionBegin;
2315   PetscValidRealPointer(val,3);
2316   ierr = PetscTryMethod(F,"MatMumpsGetRinfog_C",(Mat,PetscInt,PetscReal*),(F,icntl,val));CHKERRQ(ierr);
2317   PetscFunctionReturn(0);
2318 }
2319 
2320 /*MC
2321   MATSOLVERMUMPS -  A matrix type providing direct solvers (LU and Cholesky) for
2322   distributed and sequential matrices via the external package MUMPS.
2323 
2324   Works with MATAIJ and MATSBAIJ matrices
2325 
2326   Use ./configure --download-mumps --download-scalapack --download-parmetis --download-metis --download-ptscotch  to have PETSc installed with MUMPS
2327 
2328   Use -pc_type cholesky or lu -pc_factor_mat_solver_package mumps to us this direct solver
2329 
2330   Options Database Keys:
2331 +  -mat_mumps_icntl_1 <6>: ICNTL(1): output stream for error messages (None)
2332 .  -mat_mumps_icntl_2 <0>: ICNTL(2): output stream for diagnostic printing, statistics, and warning (None)
2333 .  -mat_mumps_icntl_3 <0>: ICNTL(3): output stream for global information, collected on the host (None)
2334 .  -mat_mumps_icntl_4 <0>: ICNTL(4): level of printing (0 to 4) (None)
2335 .  -mat_mumps_icntl_6 <7>: ICNTL(6): permutes to a zero-free diagonal and/or scale the matrix (0 to 7) (None)
2336 .  -mat_mumps_icntl_7 <7>: ICNTL(7): computes a symmetric permutation in sequential analysis (0 to 7). 3=Scotch, 4=PORD, 5=Metis (None)
2337 .  -mat_mumps_icntl_8 <77>: ICNTL(8): scaling strategy (-2 to 8 or 77) (None)
2338 .  -mat_mumps_icntl_10 <0>: ICNTL(10): max num of refinements (None)
2339 .  -mat_mumps_icntl_11 <0>: ICNTL(11): statistics related to an error analysis (via -ksp_view) (None)
2340 .  -mat_mumps_icntl_12 <1>: ICNTL(12): an ordering strategy for symmetric matrices (0 to 3) (None)
2341 .  -mat_mumps_icntl_13 <0>: ICNTL(13): parallelism of the root node (enable ScaLAPACK) and its splitting (None)
2342 .  -mat_mumps_icntl_14 <20>: ICNTL(14): percentage increase in the estimated working space (None)
2343 .  -mat_mumps_icntl_19 <0>: ICNTL(19): computes the Schur complement (None)
2344 .  -mat_mumps_icntl_22 <0>: ICNTL(22): in-core/out-of-core factorization and solve (0 or 1) (None)
2345 .  -mat_mumps_icntl_23 <0>: ICNTL(23): max size of the working memory (MB) that can allocate per processor (None)
2346 .  -mat_mumps_icntl_24 <0>: ICNTL(24): detection of null pivot rows (0 or 1) (None)
2347 .  -mat_mumps_icntl_25 <0>: ICNTL(25): compute a solution of a deficient matrix and a null space basis (None)
2348 .  -mat_mumps_icntl_26 <0>: ICNTL(26): drives the solution phase if a Schur complement matrix (None)
2349 .  -mat_mumps_icntl_28 <1>: ICNTL(28): use 1 for sequential analysis and ictnl(7) ordering, or 2 for parallel analysis and ictnl(29) ordering (None)
2350 .  -mat_mumps_icntl_29 <0>: ICNTL(29): parallel ordering 1 = ptscotch, 2 = parmetis (None)
2351 .  -mat_mumps_icntl_30 <0>: ICNTL(30): compute user-specified set of entries in inv(A) (None)
2352 .  -mat_mumps_icntl_31 <0>: ICNTL(31): indicates which factors may be discarded during factorization (None)
2353 .  -mat_mumps_icntl_33 <0>: ICNTL(33): compute determinant (None)
2354 .  -mat_mumps_cntl_1 <0.01>: CNTL(1): relative pivoting threshold (None)
2355 .  -mat_mumps_cntl_2 <1.49012e-08>: CNTL(2): stopping criterion of refinement (None)
2356 .  -mat_mumps_cntl_3 <0>: CNTL(3): absolute pivoting threshold (None)
2357 .  -mat_mumps_cntl_4 <-1>: CNTL(4): value for static pivoting (None)
2358 -  -mat_mumps_cntl_5 <0>: CNTL(5): fixation for null pivots (None)
2359 
2360   Level: beginner
2361 
2362 .seealso: PCFactorSetMatSolverPackage(), MatSolverPackage
2363 
2364 M*/
2365 
2366 #undef __FUNCT__
2367 #define __FUNCT__ "MatFactorGetSolverPackage_mumps"
2368 static PetscErrorCode MatFactorGetSolverPackage_mumps(Mat A,const MatSolverPackage *type)
2369 {
2370   PetscFunctionBegin;
2371   *type = MATSOLVERMUMPS;
2372   PetscFunctionReturn(0);
2373 }
2374 
2375 /* MatGetFactor for Seq and MPI AIJ matrices */
2376 #undef __FUNCT__
2377 #define __FUNCT__ "MatGetFactor_aij_mumps"
2378 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat A,MatFactorType ftype,Mat *F)
2379 {
2380   Mat            B;
2381   PetscErrorCode ierr;
2382   Mat_MUMPS      *mumps;
2383   PetscBool      isSeqAIJ;
2384 
2385   PetscFunctionBegin;
2386   /* Create the factorization matrix */
2387   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isSeqAIJ);CHKERRQ(ierr);
2388   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2389   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2390   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2391   if (isSeqAIJ) {
2392     ierr = MatSeqAIJSetPreallocation(B,0,NULL);CHKERRQ(ierr);
2393   } else {
2394     ierr = MatMPIAIJSetPreallocation(B,0,NULL,0,NULL);CHKERRQ(ierr);
2395   }
2396 
2397   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2398 
2399   B->ops->view        = MatView_MUMPS;
2400   B->ops->getinfo     = MatGetInfo_MUMPS;
2401   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2402 
2403   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2404   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2405   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2406   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2407   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2408   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2409   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2410   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2411   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2412   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2413   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2414   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2415   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2416   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2417   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2418   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2419   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2420 
2421   if (ftype == MAT_FACTOR_LU) {
2422     B->ops->lufactorsymbolic = MatLUFactorSymbolic_AIJMUMPS;
2423     B->factortype            = MAT_FACTOR_LU;
2424     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqaij;
2425     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpiaij;
2426     mumps->sym = 0;
2427   } else {
2428     B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2429     B->factortype                  = MAT_FACTOR_CHOLESKY;
2430     if (isSeqAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqaij_seqsbaij;
2431     else mumps->ConvertToTriples = MatConvertToTriples_mpiaij_mpisbaij;
2432 #if defined(PETSC_USE_COMPLEX)
2433     mumps->sym = 2;
2434 #else
2435     if (A->spd_set && A->spd) mumps->sym = 1;
2436     else                      mumps->sym = 2;
2437 #endif
2438   }
2439 
2440   mumps->isAIJ    = PETSC_TRUE;
2441   mumps->Destroy  = B->ops->destroy;
2442   B->ops->destroy = MatDestroy_MUMPS;
2443   B->spptr        = (void*)mumps;
2444 
2445   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2446 
2447   *F = B;
2448   PetscFunctionReturn(0);
2449 }
2450 
2451 /* MatGetFactor for Seq and MPI SBAIJ matrices */
2452 #undef __FUNCT__
2453 #define __FUNCT__ "MatGetFactor_sbaij_mumps"
2454 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat A,MatFactorType ftype,Mat *F)
2455 {
2456   Mat            B;
2457   PetscErrorCode ierr;
2458   Mat_MUMPS      *mumps;
2459   PetscBool      isSeqSBAIJ;
2460 
2461   PetscFunctionBegin;
2462   if (ftype != MAT_FACTOR_CHOLESKY) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with MUMPS LU, use AIJ matrix");
2463   if (A->rmap->bs > 1) SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_SUP,"Cannot use PETSc SBAIJ matrices with block size > 1 with MUMPS Cholesky, use AIJ matrix instead");
2464   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQSBAIJ,&isSeqSBAIJ);CHKERRQ(ierr);
2465   /* Create the factorization matrix */
2466   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2467   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2468   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2469   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2470   if (isSeqSBAIJ) {
2471     ierr = MatSeqSBAIJSetPreallocation(B,1,0,NULL);CHKERRQ(ierr);
2472 
2473     mumps->ConvertToTriples = MatConvertToTriples_seqsbaij_seqsbaij;
2474   } else {
2475     ierr = MatMPISBAIJSetPreallocation(B,1,0,NULL,0,NULL);CHKERRQ(ierr);
2476 
2477     mumps->ConvertToTriples = MatConvertToTriples_mpisbaij_mpisbaij;
2478   }
2479 
2480   B->ops->choleskyfactorsymbolic = MatCholeskyFactorSymbolic_MUMPS;
2481   B->ops->view                   = MatView_MUMPS;
2482   B->ops->getdiagonal            = MatGetDiagonal_MUMPS;
2483 
2484   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2485   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2486   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2487   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2488   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2489   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2490   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2491   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2492   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2493   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2494   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2495   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2496   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2497   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2498   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2499   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2500   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2501 
2502   B->factortype = MAT_FACTOR_CHOLESKY;
2503 #if defined(PETSC_USE_COMPLEX)
2504   mumps->sym = 2;
2505 #else
2506   if (A->spd_set && A->spd) mumps->sym = 1;
2507   else                      mumps->sym = 2;
2508 #endif
2509 
2510   mumps->isAIJ    = PETSC_FALSE;
2511   mumps->Destroy  = B->ops->destroy;
2512   B->ops->destroy = MatDestroy_MUMPS;
2513   B->spptr        = (void*)mumps;
2514 
2515   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2516 
2517   *F = B;
2518   PetscFunctionReturn(0);
2519 }
2520 
2521 #undef __FUNCT__
2522 #define __FUNCT__ "MatGetFactor_baij_mumps"
2523 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat A,MatFactorType ftype,Mat *F)
2524 {
2525   Mat            B;
2526   PetscErrorCode ierr;
2527   Mat_MUMPS      *mumps;
2528   PetscBool      isSeqBAIJ;
2529 
2530   PetscFunctionBegin;
2531   /* Create the factorization matrix */
2532   ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQBAIJ,&isSeqBAIJ);CHKERRQ(ierr);
2533   ierr = MatCreate(PetscObjectComm((PetscObject)A),&B);CHKERRQ(ierr);
2534   ierr = MatSetSizes(B,A->rmap->n,A->cmap->n,A->rmap->N,A->cmap->N);CHKERRQ(ierr);
2535   ierr = MatSetType(B,((PetscObject)A)->type_name);CHKERRQ(ierr);
2536   if (isSeqBAIJ) {
2537     ierr = MatSeqBAIJSetPreallocation(B,A->rmap->bs,0,NULL);CHKERRQ(ierr);
2538   } else {
2539     ierr = MatMPIBAIJSetPreallocation(B,A->rmap->bs,0,NULL,0,NULL);CHKERRQ(ierr);
2540   }
2541 
2542   ierr = PetscNewLog(B,&mumps);CHKERRQ(ierr);
2543   if (ftype == MAT_FACTOR_LU) {
2544     B->ops->lufactorsymbolic = MatLUFactorSymbolic_BAIJMUMPS;
2545     B->factortype            = MAT_FACTOR_LU;
2546     if (isSeqBAIJ) mumps->ConvertToTriples = MatConvertToTriples_seqbaij_seqaij;
2547     else mumps->ConvertToTriples = MatConvertToTriples_mpibaij_mpiaij;
2548     mumps->sym = 0;
2549   } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Cannot use PETSc BAIJ matrices with MUMPS Cholesky, use SBAIJ or AIJ matrix instead\n");
2550 
2551   B->ops->view        = MatView_MUMPS;
2552   B->ops->getdiagonal = MatGetDiagonal_MUMPS;
2553 
2554   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSolverPackage_C",MatFactorGetSolverPackage_mumps);CHKERRQ(ierr);
2555   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurIS_C",MatFactorSetSchurIS_MUMPS);CHKERRQ(ierr);
2556   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorInvertSchurComplement_C",MatFactorInvertSchurComplement_MUMPS);CHKERRQ(ierr);
2557   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorCreateSchurComplement_C",MatFactorCreateSchurComplement_MUMPS);CHKERRQ(ierr);
2558   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorGetSchurComplement_C",MatFactorGetSchurComplement_MUMPS);CHKERRQ(ierr);
2559   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplement_C",MatFactorSolveSchurComplement_MUMPS);CHKERRQ(ierr);
2560   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSolveSchurComplementTranspose_C",MatFactorSolveSchurComplementTranspose_MUMPS);CHKERRQ(ierr);
2561   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorFactorizeSchurComplement_C",MatFactorFactorizeSchurComplement_MUMPS);CHKERRQ(ierr);
2562   ierr = PetscObjectComposeFunction((PetscObject)B,"MatFactorSetSchurComplementSolverType_C",MatFactorSetSchurComplementSolverType_MUMPS);CHKERRQ(ierr);
2563   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetIcntl_C",MatMumpsSetIcntl_MUMPS);CHKERRQ(ierr);
2564   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetIcntl_C",MatMumpsGetIcntl_MUMPS);CHKERRQ(ierr);
2565   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsSetCntl_C",MatMumpsSetCntl_MUMPS);CHKERRQ(ierr);
2566   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetCntl_C",MatMumpsGetCntl_MUMPS);CHKERRQ(ierr);
2567   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfo_C",MatMumpsGetInfo_MUMPS);CHKERRQ(ierr);
2568   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetInfog_C",MatMumpsGetInfog_MUMPS);CHKERRQ(ierr);
2569   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfo_C",MatMumpsGetRinfo_MUMPS);CHKERRQ(ierr);
2570   ierr = PetscObjectComposeFunction((PetscObject)B,"MatMumpsGetRinfog_C",MatMumpsGetRinfog_MUMPS);CHKERRQ(ierr);
2571 
2572   mumps->isAIJ    = PETSC_TRUE;
2573   mumps->Destroy  = B->ops->destroy;
2574   B->ops->destroy = MatDestroy_MUMPS;
2575   B->spptr        = (void*)mumps;
2576 
2577   ierr = PetscInitializeMUMPS(A,mumps);CHKERRQ(ierr);
2578 
2579   *F = B;
2580   PetscFunctionReturn(0);
2581 }
2582 
2583 PETSC_EXTERN PetscErrorCode MatGetFactor_aij_mumps(Mat,MatFactorType,Mat*);
2584 PETSC_EXTERN PetscErrorCode MatGetFactor_baij_mumps(Mat,MatFactorType,Mat*);
2585 PETSC_EXTERN PetscErrorCode MatGetFactor_sbaij_mumps(Mat,MatFactorType,Mat*);
2586 
2587 #undef __FUNCT__
2588 #define __FUNCT__ "MatSolverPackageRegister_MUMPS"
2589 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister_MUMPS(void)
2590 {
2591   PetscErrorCode ierr;
2592 
2593   PetscFunctionBegin;
2594   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2595   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2596   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2597   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPIBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2598   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATMPISBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2599   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_LU,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2600   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_aij_mumps);CHKERRQ(ierr);
2601   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_LU,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2602   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_baij_mumps);CHKERRQ(ierr);
2603   ierr = MatSolverPackageRegister(MATSOLVERMUMPS,MATSEQSBAIJ,MAT_FACTOR_CHOLESKY,MatGetFactor_sbaij_mumps);CHKERRQ(ierr);
2604   PetscFunctionReturn(0);
2605 }
2606 
2607