xref: /petsc/include/petscmat.h (revision 044f065d79285f53bdee1a8df065bdf9d13ddc93)
1 /*
2      Include file for the matrix component of PETSc
3 */
4 #ifndef __PETSCMAT_H
5 #define __PETSCMAT_H
6 #include <petscvec.h>
7 
8 /*S
9      Mat - Abstract PETSc matrix object used to manage all linear operators in PETSc, even those without
10            an explicit sparse representation (such as matrix-free operators)
11 
12    Level: beginner
13 
14   Concepts: matrix; linear operator
15 
16 .seealso:  MatCreate(), MatType, MatSetType(), MatDestroy()
17 S*/
18 typedef struct _p_Mat*           Mat;
19 
20 /*J
21     MatType - String with the name of a PETSc matrix type
22 
23    Level: beginner
24 
25 .seealso: MatSetType(), Mat, MatSolverPackage, MatRegister()
26 J*/
27 typedef const char* MatType;
28 #define MATSAME            "same"
29 #define MATMAIJ            "maij"
30 #define MATSEQMAIJ         "seqmaij"
31 #define MATMPIMAIJ         "mpimaij"
32 #define MATIS              "is"
33 #define MATAIJ             "aij"
34 #define MATSEQAIJ          "seqaij"
35 #define MATMPIAIJ          "mpiaij"
36 #define MATAIJCRL          "aijcrl"
37 #define MATSEQAIJCRL       "seqaijcrl"
38 #define MATMPIAIJCRL       "mpiaijcrl"
39 #define MATAIJCUSP         "aijcusp"
40 #define MATSEQAIJCUSP      "seqaijcusp"
41 #define MATMPIAIJCUSP      "mpiaijcusp"
42 #define MATAIJCUSPARSE     "aijcusparse"
43 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
44 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
45 #define MATAIJVIENNACL     "aijviennacl"
46 #define MATSEQAIJVIENNACL  "seqaijviennacl"
47 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
48 #define MATAIJPERM         "aijperm"
49 #define MATSEQAIJPERM      "seqaijperm"
50 #define MATMPIAIJPERM      "mpiaijperm"
51 #define MATSHELL           "shell"
52 #define MATDENSE           "dense"
53 #define MATSEQDENSE        "seqdense"
54 #define MATMPIDENSE        "mpidense"
55 #define MATELEMENTAL       "elemental"
56 #define MATBAIJ            "baij"
57 #define MATSEQBAIJ         "seqbaij"
58 #define MATMPIBAIJ         "mpibaij"
59 #define MATMPIADJ          "mpiadj"
60 #define MATSBAIJ           "sbaij"
61 #define MATSEQSBAIJ        "seqsbaij"
62 #define MATMPISBAIJ        "mpisbaij"
63 #define MATDAAD            "daad"
64 #define MATMFFD            "mffd"
65 #define MATNORMAL          "normal"
66 #define MATNORMALHERMITIAN "normalh"
67 #define MATLRC             "lrc"
68 #define MATSCATTER         "scatter"
69 #define MATBLOCKMAT        "blockmat"
70 #define MATCOMPOSITE       "composite"
71 #define MATFFT             "fft"
72 #define MATFFTW            "fftw"
73 #define MATSEQCUFFT        "seqcufft"
74 #define MATTRANSPOSEMAT    "transpose"
75 #define MATSCHURCOMPLEMENT "schurcomplement"
76 #define MATPYTHON          "python"
77 #define MATHYPRE           "hypre"
78 #define MATHYPRESTRUCT     "hyprestruct"
79 #define MATHYPRESSTRUCT    "hypresstruct"
80 #define MATSUBMATRIX       "submatrix"
81 #define MATLOCALREF        "localref"
82 #define MATNEST            "nest"
83 #define MATPREALLOCATOR    "preallocator"
84 #define MATDUMMY           "dummy"
85 
86 /*J
87     MatSolverPackage - String with the name of a PETSc matrix solver type.
88 
89     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
90 
91    Level: beginner
92 
93 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
94 J*/
95 #define MatSolverPackage char*
96 #define MATSOLVERSUPERLU          "superlu"
97 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
98 #define MATSOLVERSTRUMPACK        "strumpack"
99 #define MATSOLVERUMFPACK          "umfpack"
100 #define MATSOLVERCHOLMOD          "cholmod"
101 #define MATSOLVERKLU              "klu"
102 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
103 #define MATSOLVERELEMENTAL        "elemental"
104 #define MATSOLVERESSL             "essl"
105 #define MATSOLVERLUSOL            "lusol"
106 #define MATSOLVERMUMPS            "mumps"
107 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
108 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
109 #define MATSOLVERPASTIX           "pastix"
110 #define MATSOLVERMATLAB           "matlab"
111 #define MATSOLVERPETSC            "petsc"
112 #define MATSOLVERBAS              "bas"
113 #define MATSOLVERCUSPARSE         "cusparse"
114 
115 /*E
116     MatFactorType - indicates what type of factorization is requested
117 
118     Level: beginner
119 
120    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
121 
122 .seealso: MatSolverPackage, MatGetFactor()
123 E*/
124 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
125 PETSC_EXTERN const char *const MatFactorTypes[];
126 
127 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
128 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
129 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
130 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
131 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
132 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
133 
134 /* Logging support */
135 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
136 PETSC_EXTERN PetscClassId MAT_CLASSID;
137 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
138 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
139 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
143 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
144 
145 /*E
146     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
147      are to be reused to store the new matrix values.
148 
149 $  MAT_INITIAL_MATRIX - create a new matrix
150 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
151 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
152 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
153 
154     Level: beginner
155 
156    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
157 
158 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
159 E*/
160 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
161 
162 /*E
163     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
164      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
165 
166     Level: beginner
167 
168 .seealso: MatGetSeqNonzerostructure()
169 E*/
170 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
171 
172 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
173 
174 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
175 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
176 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
177 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
178 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
179 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
180 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
181 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
182 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
183 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
184 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
185 
186 PETSC_EXTERN PetscFunctionList MatList;
187 PETSC_EXTERN PetscFunctionList MatColoringList;
188 PETSC_EXTERN PetscFunctionList MatPartitioningList;
189 
190 /*E
191     MatStructure - Indicates if two matrices have the same nonzero structure
192 
193     Level: beginner
194 
195    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
196 
197 .seealso: MatCopy(), MatAXPY()
198 E*/
199 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
200 
201 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
202 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
203 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
204 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
206 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
208 
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
211 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
212 
213 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
218 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
219 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
220 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
221 
222 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
223 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
224 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
226 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 
231 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
232 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
233 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
234 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
236 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
237 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
238 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
239 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
240 
241 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
245 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
248 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
249 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
250 
251 #if defined(PETSC_HAVE_HYPRE)
252 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
253 #endif
254 
255 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
256 
257 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
258 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
259 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
260 
261 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
262 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
263 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
264 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
265 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
266 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
267 
268 /* ------------------------------------------------------------*/
269 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
270 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
271 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
272 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
274 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
275 
276 /*S
277      MatStencil - Data structure (C struct) for storing information about a single row or
278         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
279 
280    The i,j, and k represent the logical coordinates over the entire grid (for 2 and 1 dimensional problems the k and j entries are ignored).
281    The c represents the the degrees of freedom at each grid point (the dof argument to DMDASetDOF()). If dof is 1 then this entry is ignored.
282 
283    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
284 
285    Fortran usage is different, see MatSetValuesStencil() for details.
286 
287    Level: beginner
288 
289   Concepts: matrix; linear operator
290 
291 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
292 S*/
293 typedef struct {
294   PetscInt k,j,i,c;
295 } MatStencil;
296 
297 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
298 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
299 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
300 
301 /*E
302     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
303      to continue to add or insert values to it
304 
305     Level: beginner
306 
307 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
308 E*/
309 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
310 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
311 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
312 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
313 
314 
315 
316 /*E
317     MatOption - Options that may be set for a matrix and its behavior or storage
318 
319     Level: beginner
320 
321    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
322 
323    Developer Notes: Entries that are negative need not be called collectively by all processes.
324 
325 .seealso: MatSetOption()
326 E*/
327 typedef enum {MAT_OPTION_MIN = -3,
328               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
329               MAT_ROW_ORIENTED = -1,
330               MAT_SYMMETRIC = 1,
331               MAT_STRUCTURALLY_SYMMETRIC = 2,
332               MAT_NEW_DIAGONALS = 3,
333               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
334               MAT_USE_HASH_TABLE = 5,
335               MAT_KEEP_NONZERO_PATTERN = 6,
336               MAT_IGNORE_ZERO_ENTRIES = 7,
337               MAT_USE_INODES = 8,
338               MAT_HERMITIAN = 9,
339               MAT_SYMMETRY_ETERNAL = 10,
340               MAT_NEW_NONZERO_LOCATION_ERR = 11,
341               MAT_IGNORE_LOWER_TRIANGULAR = 12,
342               MAT_ERROR_LOWER_TRIANGULAR = 13,
343               MAT_GETROW_UPPERTRIANGULAR = 14,
344               MAT_SPD = 15,
345               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
346               MAT_NO_OFF_PROC_ENTRIES = 17,
347               MAT_NEW_NONZERO_LOCATIONS = 18,
348               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
349               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
350               MAT_SUBMAT_SINGLEIS = 21,
351               MAT_STRUCTURE_ONLY = 22,
352               MAT_OPTION_MAX = 23} MatOption;
353 
354 PETSC_EXTERN const char *MatOptions[];
355 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
356 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
357 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
358 
359 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
360 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
361 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
362 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
363 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
364 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
365 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
366 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
367 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
368 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
369 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
372 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
373 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
374 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
375 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
376 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
377 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
378 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
379 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
380 
381 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
382 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
383 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
384 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
385 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
386 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
387 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
388 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
391 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
392 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
393 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
394 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
395 
396 /*E
397     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
398   its numerical values copied over or just its nonzero structure.
399 
400     Level: beginner
401 
402    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
403 
404 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
405 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
406 $                               have several matrices with the same nonzero pattern.
407 
408 .seealso: MatDuplicate()
409 E*/
410 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
411 
412 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
413 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
414 
415 
416 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
417 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
418 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
419 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
420 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
421 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
422 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
423 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
424 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
425 
426 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
427 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
428 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
429 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
430 
431 /*S
432      MatInfo - Context of matrix information, used with MatGetInfo()
433 
434    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
435 
436    Level: intermediate
437 
438   Concepts: matrix^nonzero information
439 
440 .seealso:  MatGetInfo(), MatInfoType
441 S*/
442 typedef struct {
443   PetscLogDouble block_size;                         /* block size */
444   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
445   PetscLogDouble memory;                             /* memory allocated */
446   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
447   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
448   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
449   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
450 } MatInfo;
451 
452 /*E
453     MatInfoType - Indicates if you want information about the local part of the matrix,
454      the entire parallel matrix or the maximum over all the local parts.
455 
456     Level: beginner
457 
458    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
459 
460 .seealso: MatGetInfo(), MatInfo
461 E*/
462 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
463 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
464 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
465 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
466 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
467 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
468 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
469 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
470 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
471 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
472 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
473 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
474 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
475 
476 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
477 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
478 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
479 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
480 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
481 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
482 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
483 
484 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
485 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
486 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
487 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
488 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
489 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
490 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
491 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
492 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
493 
494 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
495 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
496 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
497 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
498 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
499 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
500 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
501 
502 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
503 PETSC_DEPRECATED("Use MatCreateSubMatrices()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrices(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatrices(mat,n,irow,icol,scall,submat);}
504 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
505 PETSC_DEPRECATED("Use MatCreateSubMatricesMPI()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatricesMPI(Mat mat,PetscInt n,const IS irow[],const IS icol[],MatReuse scall,Mat *submat[]) {return MatCreateSubMatricesMPI(mat,n,irow,icol,scall,submat);}
506 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
507 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
508 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
509 PETSC_DEPRECATED("Use MatCreateSubMatrix()") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
510 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
511 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
512 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
513 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
514 
515 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
516 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
517 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
518 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
519 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
520 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
521 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
522 
523 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
524 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
525 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
526 
527 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
528 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
529 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
530 
531 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
532 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
533 
534 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
537 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
538 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
540 
541 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
542 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
543 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
544 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
545 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
546 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
547 
548 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
549 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
550 
551 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
552 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
553 
554 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
555 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
556 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
557 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
558 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
559 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
560 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
562 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
563 
564 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
565 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
566 
567 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
569 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
570 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
571 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
572 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
573 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
574 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
575 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
576 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
577 
578 /*MC
579    MatSetValue - Set a single entry into a matrix.
580 
581    Not collective
582 
583    Synopsis:
584      #include <petscmat.h>
585      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
586 
587    Input Parameters:
588 +  m - the matrix
589 .  row - the row location of the entry
590 .  col - the column location of the entry
591 .  value - the value to insert
592 -  mode - either INSERT_VALUES or ADD_VALUES
593 
594    Notes:
595    For efficiency one should use MatSetValues() and set several or many
596    values simultaneously if possible.
597 
598    Level: beginner
599 
600 .seealso: MatSetValues(), MatSetValueLocal()
601 M*/
602 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
603 
604 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
605 
606 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
607 
608 /*MC
609    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
610        row in a matrix providing the data that one can use to correctly preallocate the matrix.
611 
612    Synopsis:
613    #include <petscmat.h>
614    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
615 
616    Collective on MPI_Comm
617 
618    Input Parameters:
619 +  comm - the communicator that will share the eventually allocated matrix
620 .  nrows - the number of LOCAL rows in the matrix
621 -  ncols - the number of LOCAL columns in the matrix
622 
623    Output Parameters:
624 +  dnz - the array that will be passed to the matrix preallocation routines
625 -  ozn - the other array passed to the matrix preallocation routines
626 
627    Level: intermediate
628 
629    Notes:
630     See Users-Manual: ch_performance for more details.
631 
632    Do not malloc or free dnz and onz, that is handled internally by these routines
633 
634    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
635 
636    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
637 
638   Concepts: preallocation^Matrix
639 
640 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
641           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
642 M*/
643 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
644 { \
645   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
646   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
647   __start = 0; __end = __start;                                         \
648   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
649   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
650 
651 /*MC
652    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
653        inserted using a local number of the rows and columns
654 
655    Synopsis:
656    #include <petscmat.h>
657    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
658 
659    Not Collective
660 
661    Input Parameters:
662 +  map - the row mapping from local numbering to global numbering
663 .  nrows - the number of rows indicated
664 .  rows - the indices of the rows
665 .  cmap - the column mapping from local to global numbering
666 .  ncols - the number of columns in the matrix
667 .  cols - the columns indicated
668 .  dnz - the array that will be passed to the matrix preallocation routines
669 -  ozn - the other array passed to the matrix preallocation routines
670 
671    Level: intermediate
672 
673    Notes:
674     See Users-Manual: ch_performance for more details.
675 
676    Do not malloc or free dnz and onz, that is handled internally by these routines
677 
678   Concepts: preallocation^Matrix
679 
680 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
681           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
682 M*/
683 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
684 {\
685   PetscInt __l;\
686   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
687   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
688   for (__l=0;__l<nrows;__l++) {\
689     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
690   }\
691 }
692 
693 /*MC
694    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
695        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
696 
697    Synopsis:
698    #include <petscmat.h>
699    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
700 
701    Not Collective
702 
703    Input Parameters:
704 +  map - the row mapping from local numbering to global numbering
705 .  nrows - the number of rows indicated
706 .  rows - the indices of the rows (these values are mapped to the global values)
707 .  cmap - the column mapping from local to global numbering
708 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
709 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
710 .  dnz - the array that will be passed to the matrix preallocation routines
711 -  ozn - the other array passed to the matrix preallocation routines
712 
713    Level: intermediate
714 
715    Notes:
716     See Users-Manual: ch_performance for more details.
717 
718    Do not malloc or free dnz and onz, that is handled internally by these routines
719 
720   Concepts: preallocation^Matrix
721 
722 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
723           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
724 M*/
725 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
726 {\
727   PetscInt __l;\
728   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
729   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
730   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
731   for (__l=0;__l<nrows;__l++) {\
732     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
733   }\
734 }
735 
736 /*MC
737    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
738        inserted using a local number of the rows and columns
739 
740    Synopsis:
741    #include <petscmat.h>
742    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
743 
744    Not Collective
745 
746    Input Parameters:
747 +  map - the row mapping from local numbering to global numbering
748 .  nrows - the number of rows indicated
749 .  rows - the indices of the rows
750 .  cmap - the column mapping from local to global numbering
751 .  ncols - the number of columns in the matrix
752 .  cols - the columns indicated
753 .  dnz - the array that will be passed to the matrix preallocation routines
754 -  ozn - the other array passed to the matrix preallocation routines
755 
756    Level: intermediate
757 
758    Notes:
759     See Users-Manual: ch_performance for more details.
760 
761    Do not malloc or free dnz and onz, that is handled internally by these routines
762 
763   Concepts: preallocation^Matrix
764 
765 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
766           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
767 M*/
768 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
769 {\
770   PetscInt __l;\
771   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
772   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
773   for (__l=0;__l<nrows;__l++) {\
774     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
775   }\
776 }
777 
778 /*MC
779    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
780        inserted using a local number of the rows and columns
781 
782    Synopsis:
783    #include <petscmat.h>
784    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
785 
786    Not Collective
787 
788    Input Parameters:
789 +  map - the mapping between local numbering and global numbering
790 .  nrows - the number of rows indicated
791 .  rows - the indices of the rows
792 .  ncols - the number of columns in the matrix
793 .  cols - the columns indicated
794 .  dnz - the array that will be passed to the matrix preallocation routines
795 -  ozn - the other array passed to the matrix preallocation routines
796 
797    Level: intermediate
798 
799    Notes:
800     See Users-Manual: ch_performance for more details.
801 
802    Do not malloc or free dnz and onz that is handled internally by these routines
803 
804   Concepts: preallocation^Matrix
805 
806 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
807           MatPreallocateInitialize(),  MatPreallocateSetLocal()
808 M*/
809 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
810 {\
811   PetscInt __l;\
812   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
813   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
814   for (__l=0;__l<nrows;__l++) {\
815     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
816   }\
817 }
818 /*MC
819    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
820        inserted using a local number of the rows and columns
821 
822    Synopsis:
823    #include <petscmat.h>
824    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
825 
826    Not Collective
827 
828    Input Parameters:
829 +  row - the row
830 .  ncols - the number of columns in the matrix
831 -  cols - the columns indicated
832 
833    Output Parameters:
834 +  dnz - the array that will be passed to the matrix preallocation routines
835 -  ozn - the other array passed to the matrix preallocation routines
836 
837    Level: intermediate
838 
839    Notes:
840     See Users-Manual: ch_performance for more details.
841 
842    Do not malloc or free dnz and onz that is handled internally by these routines
843 
844    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
845 
846   Concepts: preallocation^Matrix
847 
848 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
849           MatPreallocateInitialize(), MatPreallocateSetLocal()
850 M*/
851 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
852 { PetscInt __i; \
853   if (row < __rstart) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D less than first local row %D",row,__rstart);\
854   if (row >= __rstart+__nrows) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Trying to set preallocation for row %D greater than last local row %D",row,__rstart+__nrows-1);\
855   for (__i=0; __i<nc; __i++) {\
856     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
857     else dnz[row - __rstart]++;\
858   }\
859 }
860 
861 /*MC
862    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
863        inserted using a local number of the rows and columns
864 
865    Synopsis:
866    #include <petscmat.h>
867    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
868 
869    Not Collective
870 
871    Input Parameters:
872 +  nrows - the number of rows indicated
873 .  rows - the indices of the rows
874 .  ncols - the number of columns in the matrix
875 .  cols - the columns indicated
876 .  dnz - the array that will be passed to the matrix preallocation routines
877 -  ozn - the other array passed to the matrix preallocation routines
878 
879    Level: intermediate
880 
881    Notes:
882     See Users-Manual: ch_performance for more details.
883 
884    Do not malloc or free dnz and onz that is handled internally by these routines
885 
886    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
887 
888   Concepts: preallocation^Matrix
889 
890 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
891           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
892 M*/
893 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
894 { PetscInt __i; \
895   for (__i=0; __i<nc; __i++) {\
896     if (cols[__i] >= __end) onz[row - __rstart]++; \
897     else if (cols[__i] >= row) dnz[row - __rstart]++;\
898   }\
899 }
900 
901 /*MC
902    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
903 
904    Synopsis:
905    #include <petscmat.h>
906    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
907 
908    Not Collective
909 
910    Input Parameters:
911 .  A - matrix
912 .  row - row where values exist (must be local to this process)
913 .  ncols - number of columns
914 .  cols - columns with nonzeros
915 .  dnz - the array that will be passed to the matrix preallocation routines
916 -  ozn - the other array passed to the matrix preallocation routines
917 
918    Level: intermediate
919 
920    Notes:
921     See Users-Manual: ch_performance for more details.
922 
923    Do not malloc or free dnz and onz that is handled internally by these routines
924 
925    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
926 
927   Concepts: preallocation^Matrix
928 
929 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
930           MatPreallocateSymmetricSetLocalBlock()
931 M*/
932 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0;if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}
933 
934 
935 /*MC
936    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
937        row in a matrix providing the data that one can use to correctly preallocate the matrix.
938 
939    Synopsis:
940    #include <petscmat.h>
941    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
942 
943    Collective on MPI_Comm
944 
945    Input Parameters:
946 +  dnz - the array that was be passed to the matrix preallocation routines
947 -  ozn - the other array passed to the matrix preallocation routines
948 
949    Level: intermediate
950 
951    Notes:
952     See Users-Manual: ch_performance for more details.
953 
954    Do not malloc or free dnz and onz that is handled internally by these routines
955 
956    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
957 
958   Concepts: preallocation^Matrix
959 
960 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
961           MatPreallocateSymmetricSetLocalBlock()
962 M*/
963 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
964 
965 /* Routines unique to particular data structures */
966 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
967 
968 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
969 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
970 
971 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
972 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
973 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
974 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
975 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
976 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
977 
978 #define MAT_SKIP_ALLOCATION -4
979 
980 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
981 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
982 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
983 
984 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
985 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
986 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
987 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
988 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
989 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
990 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
991 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
992 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
993 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
994 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
995 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
996 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
997 
998 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
999 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1000 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1001 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1002 
1003 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1004 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1005 
1006 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1007 
1008 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1009 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1010 /*
1011   These routines are not usually accessed directly, rather solving is
1012   done through the KSP and PC interfaces.
1013 */
1014 
1015 /*J
1016     MatOrderingType - String with the name of a PETSc matrix ordering
1017 
1018    Level: beginner
1019 
1020 .seealso: MatGetOrdering()
1021 J*/
1022 typedef const char* MatOrderingType;
1023 #define MATORDERINGNATURAL     "natural"
1024 #define MATORDERINGND          "nd"
1025 #define MATORDERING1WD         "1wd"
1026 #define MATORDERINGRCM         "rcm"
1027 #define MATORDERINGQMD         "qmd"
1028 #define MATORDERINGROWLENGTH   "rowlength"
1029 #define MATORDERINGWBM         "wbm"
1030 #define MATORDERINGSPECTRAL    "spectral"
1031 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1032 
1033 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1034 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1035 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1036 PETSC_EXTERN PetscFunctionList MatOrderingList;
1037 
1038 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1039 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1040 
1041 /*S
1042     MatFactorShiftType - Numeric Shift.
1043 
1044    Level: beginner
1045 
1046 S*/
1047 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1048 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1049 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1050 
1051 /*S
1052     MatFactorError - indicates what type of error in matrix factor
1053 
1054     Level: beginner
1055 
1056     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1057 
1058 .seealso: MatGetFactor()
1059 S*/
1060 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1061 
1062 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1063 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1064 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1065 
1066 /*S
1067    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1068 
1069    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1070 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1071 
1072    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1073 
1074       You can use MatFactorInfoInitialize() to set default values.
1075 
1076    Level: developer
1077 
1078 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1079           MatFactorInfoInitialize()
1080 
1081 S*/
1082 typedef struct {
1083   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1084   PetscReal     usedt;
1085   PetscReal     dt;             /* drop tolerance */
1086   PetscReal     dtcol;          /* tolerance for pivoting */
1087   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1088   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1089   PetscReal     levels;         /* ICC/ILU(levels) */
1090   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1091                                    factorization may be faster if do not pivot */
1092   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1093   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1094   PetscReal     shiftamount;     /* how large the shift is */
1095 } MatFactorInfo;
1096 
1097 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1098 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1099 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1100 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1101 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1102 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1103 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1104 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1105 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1106 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1107 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1108 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1109 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1110 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1111 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1112 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1113 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1114 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1115 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1116 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1117 
1118 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1119 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1120 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1121 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1122 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1123 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1124 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1125 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1126 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1127 
1128 /*E
1129     MatSORType - What type of (S)SOR to perform
1130 
1131     Level: beginner
1132 
1133    May be bitwise ORd together
1134 
1135    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1136 
1137    MatSORType may be bitwise ORd together, so do not change the numbers
1138 
1139 .seealso: MatSOR()
1140 E*/
1141 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1142               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1143               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1144               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1145 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1146 
1147 /*
1148     These routines are for efficiently computing Jacobians via finite differences.
1149 */
1150 
1151 /*S
1152      MatColoring - Object for managing the coloring of matrices.
1153 
1154    Level: beginner
1155 
1156   Concepts: matrix, coloring
1157 
1158 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1159 S*/
1160 typedef struct _p_MatColoring* MatColoring;
1161 /*J
1162     MatColoringType - String with the name of a PETSc matrix coloring
1163 
1164    Level: beginner
1165 
1166 .seealso: MatColoringSetType(), MatColoring
1167 J*/
1168 
1169 typedef const  char*           MatColoringType;
1170 #define MATCOLORINGJP      "jp"
1171 #define MATCOLORINGPOWER   "power"
1172 #define MATCOLORINGNATURAL "natural"
1173 #define MATCOLORINGSL      "sl"
1174 #define MATCOLORINGLF      "lf"
1175 #define MATCOLORINGID      "id"
1176 #define MATCOLORINGGREEDY  "greedy"
1177 
1178 /*E
1179    MatColoringWeightType - Type of weight scheme
1180 
1181     Not Collective
1182 
1183 +   MAT_COLORING_RANDOM  - Random weights
1184 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1185 -   MAT_COLORING_LF      - Last-first weighting.
1186 
1187     Level: intermediate
1188 
1189    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1190 
1191 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1192 E*/
1193 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1194 
1195 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1196 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1197 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1198 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1199 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1200 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1201 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1202 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1203 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1204 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1205 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1206 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1207 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1208 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1209 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1210 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1211 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1212 
1213 /*S
1214      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1215         and coloring
1216 
1217    Level: beginner
1218 
1219   Concepts: coloring, sparse Jacobian, finite differences
1220 
1221 .seealso:  MatFDColoringCreate()
1222 S*/
1223 typedef struct _p_MatFDColoring* MatFDColoring;
1224 
1225 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1226 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1227 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1228 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1229 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1230 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1231 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1232 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1233 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1234 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,PetscInt*[]);
1235 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1236 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1237 
1238 
1239 /*S
1240      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1241 
1242    Level: beginner
1243 
1244   Concepts: coloring, sparse matrix product
1245 
1246 .seealso:  MatTransposeColoringCreate()
1247 S*/
1248 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1249 
1250 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1251 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1252 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1253 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1254 
1255 /*
1256     These routines are for partitioning matrices: currently used only
1257   for adjacency matrix, MatCreateMPIAdj().
1258 */
1259 
1260 /*S
1261      MatPartitioning - Object for managing the partitioning of a matrix or graph
1262 
1263    Level: beginner
1264 
1265   Concepts: partitioning
1266 
1267 .seealso:  MatPartitioningCreate(), MatPartitioningType
1268 S*/
1269 typedef struct _p_MatPartitioning* MatPartitioning;
1270 
1271 /*J
1272     MatPartitioningType - String with the name of a PETSc matrix partitioning
1273 
1274    Level: beginner
1275 dm
1276 .seealso: MatPartitioningCreate(), MatPartitioning
1277 J*/
1278 typedef const char* MatPartitioningType;
1279 #define MATPARTITIONINGCURRENT  "current"
1280 #define MATPARTITIONINGAVERAGE   "average"
1281 #define MATPARTITIONINGSQUARE   "square"
1282 #define MATPARTITIONINGPARMETIS "parmetis"
1283 #define MATPARTITIONINGCHACO    "chaco"
1284 #define MATPARTITIONINGPARTY    "party"
1285 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1286 #define MATPARTITIONINGHIERARCH  "hierarch"
1287 
1288 
1289 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1290 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1291 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1292 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1293 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1294 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1295 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1296 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1297 
1298 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1299 
1300 
1301 
1302 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1304 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1305 
1306 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1307 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1308 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1309 
1310 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1311 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1312 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1313 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1314 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1315 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1316 
1317 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1320 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1321 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1322 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1323 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1324 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1328 
1329 #define MP_PARTY_OPT "opt"
1330 #define MP_PARTY_LIN "lin"
1331 #define MP_PARTY_SCA "sca"
1332 #define MP_PARTY_RAN "ran"
1333 #define MP_PARTY_GBF "gbf"
1334 #define MP_PARTY_GCF "gcf"
1335 #define MP_PARTY_BUB "bub"
1336 #define MP_PARTY_DEF "def"
1337 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1338 #define MP_PARTY_HELPFUL_SETS "hs"
1339 #define MP_PARTY_KERNIGHAN_LIN "kl"
1340 #define MP_PARTY_NONE "no"
1341 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1344 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1345 
1346 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1347 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1348 
1349 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1352 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1353 
1354 /*
1355  * hierarchical partitioning
1356  */
1357 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1360 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1361 
1362 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1363 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1364 
1365 /*
1366     If you add entries here you must also add them to petsc/finclude/petscmat.h
1367 */
1368 typedef enum { MATOP_SET_VALUES=0,
1369                MATOP_GET_ROW=1,
1370                MATOP_RESTORE_ROW=2,
1371                MATOP_MULT=3,
1372                MATOP_MULT_ADD=4,
1373                MATOP_MULT_TRANSPOSE=5,
1374                MATOP_MULT_TRANSPOSE_ADD=6,
1375                MATOP_SOLVE=7,
1376                MATOP_SOLVE_ADD=8,
1377                MATOP_SOLVE_TRANSPOSE=9,
1378                MATOP_SOLVE_TRANSPOSE_ADD=10,
1379                MATOP_LUFACTOR=11,
1380                MATOP_CHOLESKYFACTOR=12,
1381                MATOP_SOR=13,
1382                MATOP_TRANSPOSE=14,
1383                MATOP_GETINFO=15,
1384                MATOP_EQUAL=16,
1385                MATOP_GET_DIAGONAL=17,
1386                MATOP_DIAGONAL_SCALE=18,
1387                MATOP_NORM=19,
1388                MATOP_ASSEMBLY_BEGIN=20,
1389                MATOP_ASSEMBLY_END=21,
1390                MATOP_SET_OPTION=22,
1391                MATOP_ZERO_ENTRIES=23,
1392                MATOP_ZERO_ROWS=24,
1393                MATOP_LUFACTOR_SYMBOLIC=25,
1394                MATOP_LUFACTOR_NUMERIC=26,
1395                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1396                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1397                MATOP_SETUP_PREALLOCATION=29,
1398                MATOP_ILUFACTOR_SYMBOLIC=30,
1399                MATOP_ICCFACTOR_SYMBOLIC=31,
1400                MATOP_GET_DIAGONAL_BLOCK=32,
1401                /* MATOP_PLACEHOLDER_33=33, */
1402                MATOP_DUPLICATE=34,
1403                MATOP_FORWARD_SOLVE=35,
1404                MATOP_BACKWARD_SOLVE=36,
1405                MATOP_ILUFACTOR=37,
1406                MATOP_ICCFACTOR=38,
1407                MATOP_AXPY=39,
1408                MATOP_CREATE_SUBMATRICES=40,
1409                MATOP_INCREASE_OVERLAP=41,
1410                MATOP_GET_VALUES=42,
1411                MATOP_COPY=43,
1412                MATOP_GET_ROW_MAX=44,
1413                MATOP_SCALE=45,
1414                MATOP_SHIFT=46,
1415                MATOP_DIAGONAL_SET=47,
1416                MATOP_ZERO_ROWS_COLUMNS=48,
1417                MATOP_SET_RANDOM=49,
1418                MATOP_GET_ROW_IJ=50,
1419                MATOP_RESTORE_ROW_IJ=51,
1420                MATOP_GET_COLUMN_IJ=52,
1421                MATOP_RESTORE_COLUMN_IJ=53,
1422                MATOP_FDCOLORING_CREATE=54,
1423                MATOP_COLORING_PATCH=55,
1424                MATOP_SET_UNFACTORED=56,
1425                MATOP_PERMUTE=57,
1426                MATOP_SET_VALUES_BLOCKED=58,
1427                MATOP_CREATE_SUBMATRIX=59,
1428                MATOP_DESTROY=60,
1429                MATOP_VIEW=61,
1430                MATOP_CONVERT_FROM=62,
1431                MATOP_MATMAT_MULT=63,
1432                MATOP_MATMAT_MULT_SYMBOLIC=64,
1433                MATOP_MATMAT_MULT_NUMERIC=65,
1434                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1435                MATOP_SET_VALUES_LOCAL=67,
1436                MATOP_ZERO_ROWS_LOCAL=68,
1437                MATOP_GET_ROW_MAX_ABS=69,
1438                MATOP_GET_ROW_MIN_ABS=70,
1439                MATOP_CONVERT=71,
1440                MATOP_SET_COLORING=72,
1441                /* MATOP_PLACEHOLDER_73=73, */
1442                MATOP_SET_VALUES_ADIFOR=74,
1443                MATOP_FD_COLORING_APPLY=75,
1444                MATOP_SET_FROM_OPTIONS=76,
1445                MATOP_MULT_CONSTRAINED=77,
1446                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1447                MATOP_FIND_ZERO_DIAGONALS=79,
1448                MATOP_MULT_MULTIPLE=80,
1449                MATOP_SOLVE_MULTIPLE=81,
1450                MATOP_GET_INERTIA=82,
1451                MATOP_LOAD=83,
1452                MATOP_IS_SYMMETRIC=84,
1453                MATOP_IS_HERMITIAN=85,
1454                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1455                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1456                MATOP_GET_VECS=88,
1457                MATOP_MAT_MULT=89,
1458                MATOP_MAT_MULT_SYMBOLIC=90,
1459                MATOP_MAT_MULT_NUMERIC=91,
1460                MATOP_PTAP=92,
1461                MATOP_PTAP_SYMBOLIC=93,
1462                MATOP_PTAP_NUMERIC=94,
1463                MATOP_MAT_TRANSPOSE_MULT=95,
1464                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1465                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1466                /* MATOP_PLACEHOLDER_98=98, */
1467                /* MATOP_PLACEHOLDER_99=99, */
1468                /* MATOP_PLACEHOLDER_100=100, */
1469                /* MATOP_PLACEHOLDER_101=101, */
1470                MATOP_CONJUGATE=102,
1471                /* MATOP_PLACEHOLDER_103=103, */
1472                MATOP_SET_VALUES_ROW=104,
1473                MATOP_REAL_PART=105,
1474                MATOP_IMAGINARY_PART=106,
1475                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1476                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1477                MATOP_MAT_SOLVE=109,
1478                MATOP_MAT_SOLVE_TRANSPOSE=110,
1479                MATOP_GET_ROW_MIN=111,
1480                MATOP_GET_COLUMN_VECTOR=112,
1481                MATOP_MISSING_DIAGONAL=113,
1482                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1483                MATOP_CREATE=115,
1484                MATOP_GET_GHOSTS=116,
1485                MATOP_GET_LOCAL_SUB_MATRIX=117,
1486                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1487                MATOP_MULT_DIAGONAL_BLOCK=119,
1488                MATOP_HERMITIAN_TRANSPOSE=120,
1489                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1490                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1491                MATOP_GET_MULTI_PROC_BLOCK=123,
1492                MATOP_FIND_NONZERO_ROWS=124,
1493                MATOP_GET_COLUMN_NORMS=125,
1494                MATOP_INVERT_BLOCK_DIAGONAL=126,
1495                /* MATOP_PLACEHOLDER_127=127, */
1496                MATOP_GET_SUB_MATRICES_PARALLE=128,
1497                MATOP_SET_VALUES_BATCH=129,
1498                MATOP_TRANSPOSE_MAT_MULT=130,
1499                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1500                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1501                MATOP_TRANSPOSE_COLORING_CREAT=133,
1502                MATOP_TRANS_COLORING_APPLY_SPT=134,
1503                MATOP_TRANS_COLORING_APPLY_DEN=135,
1504                MATOP_RART=136,
1505                MATOP_RART_SYMBOLIC=137,
1506                MATOP_RART_NUMERIC=138,
1507                MATOP_SET_BLOCK_SIZES=139,
1508                MATOP_AYPX=140,
1509                MATOP_RESIDUAL=141,
1510                MATOP_FDCOLORING_SETUP=142,
1511                MATOP_MPICONCATENATESEQ=144
1512              } MatOperation;
1513 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1514 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1515 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1516 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1517 
1518 /*
1519    Codes for matrices stored on disk. By default they are
1520    stored in a universal format. By changing the format with
1521    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1522    be stored in a way natural for the matrix, for example dense matrices
1523    would be stored as dense. Matrices stored this way may only be
1524    read into matrices of the same type.
1525 */
1526 #define MATRIX_BINARY_FORMAT_DENSE -1
1527 
1528 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1529 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1530 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1531 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1532 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1533 
1534 /*S
1535      MatNullSpace - Object that removes a null space from a vector, i.e.
1536          orthogonalizes the vector to a subsapce
1537 
1538    Level: advanced
1539 
1540   Concepts: matrix; linear operator, null space
1541 
1542   Users manual sections:
1543 .   sec_singular
1544 
1545 .seealso:  MatNullSpaceCreate()
1546 S*/
1547 typedef struct _p_MatNullSpace* MatNullSpace;
1548 
1549 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1550 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1551 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1552 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1553 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1554 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1555 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1556 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1557 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1558 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1559 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1560 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1561 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1562 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1563 
1564 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1565 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1566 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1567 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1568 
1569 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1570 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1571 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1572 
1573 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1574 
1575 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1576 
1577 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1578 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1579 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1580 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1581 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1582 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1583 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1584 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1585 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1586 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1587 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1588 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1589 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1590 
1591 /*S
1592     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1593               Jacobian vector products
1594 
1595     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1596 
1597            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1598 
1599     Level: developer
1600 
1601 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1602 S*/
1603 typedef struct _p_MatMFFD* MatMFFD;
1604 
1605 /*J
1606     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1607 
1608    Level: beginner
1609 
1610 .seealso: MatMFFDSetType(), MatMFFDRegister()
1611 J*/
1612 typedef const char* MatMFFDType;
1613 #define MATMFFD_DS  "ds"
1614 #define MATMFFD_WP  "wp"
1615 
1616 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1617 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1618 
1619 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1620 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1621 
1622 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1623 
1624 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1625 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1626 
1627 /*
1628    PETSc interface to MUMPS
1629 */
1630 #ifdef PETSC_HAVE_MUMPS
1631 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1632 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1633 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1634 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1635 
1636 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1637 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1638 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1639 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1640 #endif
1641 
1642 /*
1643    PETSc interface to Mkl_Pardiso
1644 */
1645 #ifdef PETSC_HAVE_MKL_PARDISO
1646 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1647 #endif
1648 
1649 /*
1650    PETSc interface to Mkl_CPardiso
1651 */
1652 #ifdef PETSC_HAVE_MKL_CPARDISO
1653 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1654 #endif
1655 
1656 /*
1657    PETSc interface to SUPERLU
1658 */
1659 #ifdef PETSC_HAVE_SUPERLU
1660 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1661 #endif
1662 
1663 /*
1664    PETSc interface to SUPERLU_DIST
1665 */
1666 #ifdef PETSC_HAVE_SUPERLU_DIST
1667 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1668 #endif
1669 
1670 /*
1671    PETSc interface to STRUMPACK
1672 */
1673 #ifdef PETSC_HAVE_STRUMPACK
1674 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1675 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1676 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1677 #endif
1678 
1679 
1680 #ifdef PETSC_HAVE_CUDA
1681 /*E
1682     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1683     matrices.
1684 
1685     Not Collective
1686 
1687 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1688 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1689 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1690 
1691     Level: intermediate
1692 
1693    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1694 
1695 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1696 E*/
1697 
1698 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1699 
1700 /* these will be strings associated with enumerated type defined above */
1701 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1702 
1703 /*E
1704     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1705     matrices whose operation should use a particular storage format.
1706 
1707     Not Collective
1708 
1709 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1710 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1711 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1712 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1713 
1714     Level: intermediate
1715 
1716 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1717 E*/
1718 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1719 
1720 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1721 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1722 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1723 #endif
1724 
1725 #if defined(PETSC_HAVE_CUSP)
1726 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1727 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1728 
1729 /*E
1730     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1731     matrices.
1732 
1733     Not Collective
1734 
1735 +   MAT_CUSP_CSR - Compressed Sparse Row
1736 .   MAT_CUSP_DIA - Diagonal
1737 -   MAT_CUSP_ELL - Ellpack
1738 
1739     Level: intermediate
1740 
1741    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1742 
1743 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1744 E*/
1745 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1746 
1747 /* these will be strings associated with enumerated type defined above */
1748 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1749 
1750 /*E
1751     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1752     matrices whose operation should use a particular storage format.
1753 
1754     Not Collective
1755 
1756 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1757 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1758 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1759 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1760 
1761     Level: intermediate
1762 
1763    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1764 
1765 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1766 E*/
1767 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1768 
1769 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1770 #endif
1771 
1772 #if defined(PETSC_HAVE_VIENNACL)
1773 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1774 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1775 #endif
1776 
1777 /*
1778    PETSc interface to FFTW
1779 */
1780 #if defined(PETSC_HAVE_FFTW)
1781 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1782 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1783 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1784 #endif
1785 
1786 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1787 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1788 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1789 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1790 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1791 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1792 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1793 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1794 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1795 
1796 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1797 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1798 
1799 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1800 
1801 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1802 
1803 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1804 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1805 
1806 #endif
1807