xref: /petsc/include/petscmat.h (revision e8a2a7c33427d47ed96daa6bcd483a005df1dcb7)
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 MATAIJMKL          "aijmkl"
52 #define MATSEQAIJMKL       "seqaijmkl"
53 #define MATMPIAIJMKL       "mpiaijmkl"
54 #define MATSHELL           "shell"
55 #define MATDENSE           "dense"
56 #define MATSEQDENSE        "seqdense"
57 #define MATMPIDENSE        "mpidense"
58 #define MATELEMENTAL       "elemental"
59 #define MATBAIJ            "baij"
60 #define MATSEQBAIJ         "seqbaij"
61 #define MATMPIBAIJ         "mpibaij"
62 #define MATMPIADJ          "mpiadj"
63 #define MATSBAIJ           "sbaij"
64 #define MATSEQSBAIJ        "seqsbaij"
65 #define MATMPISBAIJ        "mpisbaij"
66 #define MATDAAD            "daad"
67 #define MATMFFD            "mffd"
68 #define MATNORMAL          "normal"
69 #define MATNORMALHERMITIAN "normalh"
70 #define MATLRC             "lrc"
71 #define MATSCATTER         "scatter"
72 #define MATBLOCKMAT        "blockmat"
73 #define MATCOMPOSITE       "composite"
74 #define MATFFT             "fft"
75 #define MATFFTW            "fftw"
76 #define MATSEQCUFFT        "seqcufft"
77 #define MATTRANSPOSEMAT    "transpose"
78 #define MATSCHURCOMPLEMENT "schurcomplement"
79 #define MATPYTHON          "python"
80 #define MATHYPRE           "hypre"
81 #define MATHYPRESTRUCT     "hyprestruct"
82 #define MATHYPRESSTRUCT    "hypresstruct"
83 #define MATSUBMATRIX       "submatrix"
84 #define MATLOCALREF        "localref"
85 #define MATNEST            "nest"
86 #define MATPREALLOCATOR    "preallocator"
87 #define MATDUMMY           "dummy"
88 
89 /*J
90     MatSolverPackage - String with the name of a PETSc matrix solver type.
91 
92     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
93 
94    Level: beginner
95 
96 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
97 J*/
98 #define MatSolverPackage char*
99 #define MATSOLVERSUPERLU          "superlu"
100 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
101 #define MATSOLVERSTRUMPACK        "strumpack"
102 #define MATSOLVERUMFPACK          "umfpack"
103 #define MATSOLVERCHOLMOD          "cholmod"
104 #define MATSOLVERKLU              "klu"
105 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
106 #define MATSOLVERELEMENTAL        "elemental"
107 #define MATSOLVERESSL             "essl"
108 #define MATSOLVERLUSOL            "lusol"
109 #define MATSOLVERMUMPS            "mumps"
110 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
111 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
112 #define MATSOLVERPASTIX           "pastix"
113 #define MATSOLVERMATLAB           "matlab"
114 #define MATSOLVERPETSC            "petsc"
115 #define MATSOLVERBAS              "bas"
116 #define MATSOLVERCUSPARSE         "cusparse"
117 
118 /*E
119     MatFactorType - indicates what type of factorization is requested
120 
121     Level: beginner
122 
123    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
124 
125 .seealso: MatSolverPackage, MatGetFactor()
126 E*/
127 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
128 PETSC_EXTERN const char *const MatFactorTypes[];
129 
130 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
131 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
132 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
133 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
134 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
135 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
136 
137 /* Logging support */
138 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
139 PETSC_EXTERN PetscClassId MAT_CLASSID;
140 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
141 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
142 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
146 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
147 
148 /*E
149     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
150      are to be reused to store the new matrix values.
151 
152 $  MAT_INITIAL_MATRIX - create a new matrix
153 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
154 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
155 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
156 
157     Level: beginner
158 
159    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
160 
161 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
162 E*/
163 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
164 
165 /*E
166     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
167      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
168 
169     Level: beginner
170 
171 .seealso: MatGetSeqNonzerostructure()
172 E*/
173 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
174 
175 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
176 
177 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
178 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
179 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
180 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
181 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
182 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
183 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
184 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
185 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
186 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
187 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
188 
189 PETSC_EXTERN PetscFunctionList MatList;
190 PETSC_EXTERN PetscFunctionList MatColoringList;
191 PETSC_EXTERN PetscFunctionList MatPartitioningList;
192 
193 /*E
194     MatStructure - Indicates if two matrices have the same nonzero structure
195 
196     Level: beginner
197 
198    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
199 
200 .seealso: MatCopy(), MatAXPY()
201 E*/
202 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
203 
204 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
205 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
206 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
207 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
208 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
209 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
210 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
211 
212 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
215 
216 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
217 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
218 
219 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
220 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
221 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
222 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
223 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
224 
225 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
226 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
227 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
229 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
231 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
232 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
233 
234 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
235 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
236 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
237 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
239 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
240 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
241 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
242 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
243 
244 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
245 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
246 
247 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
248 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
249 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
250 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
251 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
252 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
253 
254 #if defined(PETSC_HAVE_HYPRE)
255 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
256 #endif
257 
258 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
259 
260 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
261 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
262 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
263 
264 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
265 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
266 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
267 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
268 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
269 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
270 
271 /* ------------------------------------------------------------*/
272 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
273 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
274 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
275 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
276 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
277 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
278 
279 /*S
280      MatStencil - Data structure (C struct) for storing information about a single row or
281         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
282 
283    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).
284    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.
285 
286    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
287 
288    Fortran usage is different, see MatSetValuesStencil() for details.
289 
290    Level: beginner
291 
292   Concepts: matrix; linear operator
293 
294 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
295 S*/
296 typedef struct {
297   PetscInt k,j,i,c;
298 } MatStencil;
299 
300 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
301 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
302 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
303 
304 /*E
305     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
306      to continue to add or insert values to it
307 
308     Level: beginner
309 
310 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
311 E*/
312 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
313 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
314 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
315 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
316 
317 
318 
319 /*E
320     MatOption - Options that may be set for a matrix and its behavior or storage
321 
322     Level: beginner
323 
324    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
325    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
326 
327    Developer Notes: Entries that are negative need not be called collectively by all processes.
328 
329 .seealso: MatSetOption()
330 E*/
331 typedef enum {MAT_OPTION_MIN = -3,
332               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
333               MAT_ROW_ORIENTED = -1,
334               MAT_SYMMETRIC = 1,
335               MAT_STRUCTURALLY_SYMMETRIC = 2,
336               MAT_NEW_DIAGONALS = 3,
337               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
338               MAT_USE_HASH_TABLE = 5,
339               MAT_KEEP_NONZERO_PATTERN = 6,
340               MAT_IGNORE_ZERO_ENTRIES = 7,
341               MAT_USE_INODES = 8,
342               MAT_HERMITIAN = 9,
343               MAT_SYMMETRY_ETERNAL = 10,
344               MAT_NEW_NONZERO_LOCATION_ERR = 11,
345               MAT_IGNORE_LOWER_TRIANGULAR = 12,
346               MAT_ERROR_LOWER_TRIANGULAR = 13,
347               MAT_GETROW_UPPERTRIANGULAR = 14,
348               MAT_SPD = 15,
349               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
350               MAT_NO_OFF_PROC_ENTRIES = 17,
351               MAT_NEW_NONZERO_LOCATIONS = 18,
352               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
353               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
354               MAT_SUBMAT_SINGLEIS = 21,
355               MAT_STRUCTURE_ONLY = 22,
356               MAT_OPTION_MAX = 23} MatOption;
357 
358 PETSC_EXTERN const char *const *MatOptions;
359 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
360 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
361 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
362 
363 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
364 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
365 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
366 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
367 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
368 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
369 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
370 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
371 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
372 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
373 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
374 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,const MatType,MatReuse,Mat *));
375 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
376 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
377 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
378 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
379 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
380 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
381 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
382 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
383 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
384 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
385 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
386 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
387 
388 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
389 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
390 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
391 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
392 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
393 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
394 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
395 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
396 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
397 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
398 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
399 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
400 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
401 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
402 
403 /*E
404     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
405   its numerical values copied over or just its nonzero structure.
406 
407     Level: beginner
408 
409    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
410 
411 $   MAT_SHARE_NONZERO_PATTERN - the i and j arrays in the new matrix will be shared with the original matrix
412 $                               this also triggers the MAT_DO_NOT_COPY_VALUES option. This is used when you
413 $                               have several matrices with the same nonzero pattern.
414 
415 .seealso: MatDuplicate()
416 E*/
417 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
418 
419 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
420 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
421 
422 
423 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
424 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
425 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
426 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
427 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
428 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
429 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
430 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
431 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
432 
433 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
434 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
435 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
436 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
437 
438 /*S
439      MatInfo - Context of matrix information, used with MatGetInfo()
440 
441    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
442 
443    Level: intermediate
444 
445   Concepts: matrix^nonzero information
446 
447 .seealso:  MatGetInfo(), MatInfoType
448 S*/
449 typedef struct {
450   PetscLogDouble block_size;                         /* block size */
451   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
452   PetscLogDouble memory;                             /* memory allocated */
453   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
454   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
455   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
456   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
457 } MatInfo;
458 
459 /*E
460     MatInfoType - Indicates if you want information about the local part of the matrix,
461      the entire parallel matrix or the maximum over all the local parts.
462 
463     Level: beginner
464 
465    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
466 
467 .seealso: MatGetInfo(), MatInfo
468 E*/
469 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
470 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
471 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
472 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
473 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
474 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
475 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
476 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
477 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
478 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
479 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
480 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
481 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
482 
483 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
484 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
485 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
486 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
487 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
488 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
489 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
490 
491 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
492 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
493 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
494 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
495 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
496 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
497 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
498 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
499 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
500 
501 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
502 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
503 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
504 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
505 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
506 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
507 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
508 
509 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
510 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);}
511 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
512 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);}
513 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
514 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
515 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
516 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);}
517 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
518 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
519 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
520 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
521 
522 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
523 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
524 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
525 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
526 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
527 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
528 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
529 
530 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
531 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
532 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
533 
534 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
535 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
536 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
537 
538 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
539 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
540 
541 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
542 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
543 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
544 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
545 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
546 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
547 
548 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
549 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
550 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
551 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
552 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
553 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
554 
555 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
556 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
557 
558 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
559 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
560 
561 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
562 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
563 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
564 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
566 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
567 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
568 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
569 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
570 
571 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
572 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
573 
574 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
575 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
576 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
577 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
578 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
579 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
580 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
581 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
582 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
583 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
584 
585 /*MC
586    MatSetValue - Set a single entry into a matrix.
587 
588    Not collective
589 
590    Synopsis:
591      #include <petscmat.h>
592      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
593 
594    Input Parameters:
595 +  m - the matrix
596 .  row - the row location of the entry
597 .  col - the column location of the entry
598 .  value - the value to insert
599 -  mode - either INSERT_VALUES or ADD_VALUES
600 
601    Notes:
602    For efficiency one should use MatSetValues() and set several or many
603    values simultaneously if possible.
604 
605    Level: beginner
606 
607 .seealso: MatSetValues(), MatSetValueLocal()
608 M*/
609 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
610 
611 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
612 
613 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
614 
615 /*MC
616    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
617        row in a matrix providing the data that one can use to correctly preallocate the matrix.
618 
619    Synopsis:
620    #include <petscmat.h>
621    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
622 
623    Collective on MPI_Comm
624 
625    Input Parameters:
626 +  comm - the communicator that will share the eventually allocated matrix
627 .  nrows - the number of LOCAL rows in the matrix
628 -  ncols - the number of LOCAL columns in the matrix
629 
630    Output Parameters:
631 +  dnz - the array that will be passed to the matrix preallocation routines
632 -  ozn - the other array passed to the matrix preallocation routines
633 
634    Level: intermediate
635 
636    Notes:
637     See Users-Manual: ch_performance for more details.
638 
639    Do not malloc or free dnz and onz, that is handled internally by these routines
640 
641    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
642 
643    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
644 
645   Concepts: preallocation^Matrix
646 
647 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
648           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
649 M*/
650 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
651 { \
652   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
653   _4_ierr = PetscCalloc2(__nrows,&dnz,__nrows,&onz);CHKERRQ(_4_ierr); \
654   __start = 0; __end = __start;                                         \
655   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
656   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
657 
658 /*MC
659    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
660        inserted using a local number of the rows and columns
661 
662    Synopsis:
663    #include <petscmat.h>
664    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
665 
666    Not Collective
667 
668    Input Parameters:
669 +  map - the row mapping from local numbering to global numbering
670 .  nrows - the number of rows indicated
671 .  rows - the indices of the rows
672 .  cmap - the column mapping from local to global numbering
673 .  ncols - the number of columns in the matrix
674 .  cols - the columns indicated
675 .  dnz - the array that will be passed to the matrix preallocation routines
676 -  ozn - the other array passed to the matrix preallocation routines
677 
678    Level: intermediate
679 
680    Notes:
681     See Users-Manual: ch_performance for more details.
682 
683    Do not malloc or free dnz and onz, that is handled internally by these routines
684 
685   Concepts: preallocation^Matrix
686 
687 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
688           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
689 M*/
690 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
691 {\
692   PetscInt __l;\
693   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
694   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
695   for (__l=0;__l<nrows;__l++) {\
696     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
697   }\
698 }
699 
700 /*MC
701    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
702        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
703 
704    Synopsis:
705    #include <petscmat.h>
706    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
707 
708    Not Collective
709 
710    Input Parameters:
711 +  map - the row mapping from local numbering to global numbering
712 .  nrows - the number of rows indicated
713 .  rows - the indices of the rows (these values are mapped to the global values)
714 .  cmap - the column mapping from local to global numbering
715 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
716 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
717 .  dnz - the array that will be passed to the matrix preallocation routines
718 -  ozn - the other array passed to the matrix preallocation routines
719 
720    Level: intermediate
721 
722    Notes:
723     See Users-Manual: ch_performance for more details.
724 
725    Do not malloc or free dnz and onz, that is handled internally by these routines
726 
727   Concepts: preallocation^Matrix
728 
729 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
730           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
731 M*/
732 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
733 {\
734   PetscInt __l;\
735   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
736   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
737   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
738   for (__l=0;__l<nrows;__l++) {\
739     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
740   }\
741 }
742 
743 /*MC
744    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
745        inserted using a local number of the rows and columns
746 
747    Synopsis:
748    #include <petscmat.h>
749    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
750 
751    Not Collective
752 
753    Input Parameters:
754 +  map - the row mapping from local numbering to global numbering
755 .  nrows - the number of rows indicated
756 .  rows - the indices of the rows
757 .  cmap - the column mapping from local to global numbering
758 .  ncols - the number of columns in the matrix
759 .  cols - the columns indicated
760 .  dnz - the array that will be passed to the matrix preallocation routines
761 -  ozn - the other array passed to the matrix preallocation routines
762 
763    Level: intermediate
764 
765    Notes:
766     See Users-Manual: ch_performance for more details.
767 
768    Do not malloc or free dnz and onz, that is handled internally by these routines
769 
770   Concepts: preallocation^Matrix
771 
772 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
773           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
774 M*/
775 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
776 {\
777   PetscInt __l;\
778   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
779   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
780   for (__l=0;__l<nrows;__l++) {\
781     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
782   }\
783 }
784 
785 /*MC
786    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
787        inserted using a local number of the rows and columns
788 
789    Synopsis:
790    #include <petscmat.h>
791    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
792 
793    Not Collective
794 
795    Input Parameters:
796 +  map - the mapping between local numbering and global numbering
797 .  nrows - the number of rows indicated
798 .  rows - the indices of the rows
799 .  ncols - the number of columns in the matrix
800 .  cols - the columns indicated
801 .  dnz - the array that will be passed to the matrix preallocation routines
802 -  ozn - the other array passed to the matrix preallocation routines
803 
804    Level: intermediate
805 
806    Notes:
807     See Users-Manual: ch_performance for more details.
808 
809    Do not malloc or free dnz and onz that is handled internally by these routines
810 
811   Concepts: preallocation^Matrix
812 
813 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
814           MatPreallocateInitialize(),  MatPreallocateSetLocal()
815 M*/
816 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
817 {\
818   PetscInt __l;\
819   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
820   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
821   for (__l=0;__l<nrows;__l++) {\
822     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
823   }\
824 }
825 /*MC
826    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
827        inserted using a local number of the rows and columns
828 
829    Synopsis:
830    #include <petscmat.h>
831    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
832 
833    Not Collective
834 
835    Input Parameters:
836 +  row - the row
837 .  ncols - the number of columns in the matrix
838 -  cols - the columns indicated
839 
840    Output Parameters:
841 +  dnz - the array that will be passed to the matrix preallocation routines
842 -  ozn - the other array passed to the matrix preallocation routines
843 
844    Level: intermediate
845 
846    Notes:
847     See Users-Manual: ch_performance for more details.
848 
849    Do not malloc or free dnz and onz that is handled internally by these routines
850 
851    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
852 
853   Concepts: preallocation^Matrix
854 
855 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
856           MatPreallocateInitialize(), MatPreallocateSetLocal()
857 M*/
858 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
859 { PetscInt __i; \
860   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);\
861   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);\
862   for (__i=0; __i<nc; __i++) {\
863     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
864     else dnz[row - __rstart]++;\
865   }\
866 }
867 
868 /*MC
869    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
870        inserted using a local number of the rows and columns
871 
872    Synopsis:
873    #include <petscmat.h>
874    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
875 
876    Not Collective
877 
878    Input Parameters:
879 +  nrows - the number of rows indicated
880 .  rows - the indices of the rows
881 .  ncols - the number of columns in the matrix
882 .  cols - the columns indicated
883 .  dnz - the array that will be passed to the matrix preallocation routines
884 -  ozn - the other array passed to the matrix preallocation routines
885 
886    Level: intermediate
887 
888    Notes:
889     See Users-Manual: ch_performance for more details.
890 
891    Do not malloc or free dnz and onz that is handled internally by these routines
892 
893    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
894 
895   Concepts: preallocation^Matrix
896 
897 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
898           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
899 M*/
900 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
901 { PetscInt __i; \
902   for (__i=0; __i<nc; __i++) {\
903     if (cols[__i] >= __end) onz[row - __rstart]++; \
904     else if (cols[__i] >= row) dnz[row - __rstart]++;\
905   }\
906 }
907 
908 /*MC
909    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
910 
911    Synopsis:
912    #include <petscmat.h>
913    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
914 
915    Not Collective
916 
917    Input Parameters:
918 .  A - matrix
919 .  row - row where values exist (must be local to this process)
920 .  ncols - number of columns
921 .  cols - columns with nonzeros
922 .  dnz - the array that will be passed to the matrix preallocation routines
923 -  ozn - the other array passed to the matrix preallocation routines
924 
925    Level: intermediate
926 
927    Notes:
928     See Users-Manual: ch_performance for more details.
929 
930    Do not malloc or free dnz and onz that is handled internally by these routines
931 
932    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
933 
934   Concepts: preallocation^Matrix
935 
936 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
937           MatPreallocateSymmetricSetLocalBlock()
938 M*/
939 #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);}
940 
941 
942 /*MC
943    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
944        row in a matrix providing the data that one can use to correctly preallocate the matrix.
945 
946    Synopsis:
947    #include <petscmat.h>
948    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
949 
950    Collective on MPI_Comm
951 
952    Input Parameters:
953 +  dnz - the array that was be passed to the matrix preallocation routines
954 -  ozn - the other array passed to the matrix preallocation routines
955 
956    Level: intermediate
957 
958    Notes:
959     See Users-Manual: ch_performance for more details.
960 
961    Do not malloc or free dnz and onz that is handled internally by these routines
962 
963    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
964 
965   Concepts: preallocation^Matrix
966 
967 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
968           MatPreallocateSymmetricSetLocalBlock()
969 M*/
970 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
971 
972 /* Routines unique to particular data structures */
973 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
974 
975 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
976 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
977 
978 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
979 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
980 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
981 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
982 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
983 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
984 
985 #define MAT_SKIP_ALLOCATION -4
986 
987 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
988 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
989 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
990 
991 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
992 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
993 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
994 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
995 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
996 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
997 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
998 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
999 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1000 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1001 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1002 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1003 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1004 
1005 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1006 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1007 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1008 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1009 
1010 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1011 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1012 
1013 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1014 
1015 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1016 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1017 /*
1018   These routines are not usually accessed directly, rather solving is
1019   done through the KSP and PC interfaces.
1020 */
1021 
1022 /*J
1023     MatOrderingType - String with the name of a PETSc matrix ordering
1024 
1025    Level: beginner
1026 
1027 .seealso: MatGetOrdering()
1028 J*/
1029 typedef const char* MatOrderingType;
1030 #define MATORDERINGNATURAL     "natural"
1031 #define MATORDERINGND          "nd"
1032 #define MATORDERING1WD         "1wd"
1033 #define MATORDERINGRCM         "rcm"
1034 #define MATORDERINGQMD         "qmd"
1035 #define MATORDERINGROWLENGTH   "rowlength"
1036 #define MATORDERINGWBM         "wbm"
1037 #define MATORDERINGSPECTRAL    "spectral"
1038 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1039 
1040 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1041 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1042 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1043 PETSC_EXTERN PetscFunctionList MatOrderingList;
1044 
1045 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1046 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1047 
1048 /*S
1049     MatFactorShiftType - Numeric Shift.
1050 
1051    Level: beginner
1052 
1053 S*/
1054 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1055 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1056 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1057 
1058 /*S
1059     MatFactorError - indicates what type of error in matrix factor
1060 
1061     Level: beginner
1062 
1063     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1064 
1065 .seealso: MatGetFactor()
1066 S*/
1067 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1068 
1069 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1070 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1071 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1072 
1073 /*S
1074    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1075 
1076    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1077 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1078 
1079    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1080 
1081       You can use MatFactorInfoInitialize() to set default values.
1082 
1083    Level: developer
1084 
1085 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1086           MatFactorInfoInitialize()
1087 
1088 S*/
1089 typedef struct {
1090   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1091   PetscReal     usedt;
1092   PetscReal     dt;             /* drop tolerance */
1093   PetscReal     dtcol;          /* tolerance for pivoting */
1094   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1095   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1096   PetscReal     levels;         /* ICC/ILU(levels) */
1097   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1098                                    factorization may be faster if do not pivot */
1099   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1100   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1101   PetscReal     shiftamount;     /* how large the shift is */
1102 } MatFactorInfo;
1103 
1104 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1105 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1106 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1107 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1108 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1109 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1110 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1111 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1112 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1113 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1114 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1115 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1116 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1117 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1118 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1119 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1120 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1121 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1122 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1123 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1124 
1125 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1126 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1127 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1128 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1129 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1130 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1131 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1132 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1133 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1134 
1135 /*E
1136     MatSORType - What type of (S)SOR to perform
1137 
1138     Level: beginner
1139 
1140    May be bitwise ORd together
1141 
1142    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1143 
1144    MatSORType may be bitwise ORd together, so do not change the numbers
1145 
1146 .seealso: MatSOR()
1147 E*/
1148 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1149               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1150               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1151               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1152 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1153 
1154 /*
1155     These routines are for efficiently computing Jacobians via finite differences.
1156 */
1157 
1158 /*S
1159      MatColoring - Object for managing the coloring of matrices.
1160 
1161    Level: beginner
1162 
1163   Concepts: matrix, coloring
1164 
1165 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1166 S*/
1167 typedef struct _p_MatColoring* MatColoring;
1168 /*J
1169     MatColoringType - String with the name of a PETSc matrix coloring
1170 
1171    Level: beginner
1172 
1173 .seealso: MatColoringSetType(), MatColoring
1174 J*/
1175 
1176 typedef const  char*           MatColoringType;
1177 #define MATCOLORINGJP      "jp"
1178 #define MATCOLORINGPOWER   "power"
1179 #define MATCOLORINGNATURAL "natural"
1180 #define MATCOLORINGSL      "sl"
1181 #define MATCOLORINGLF      "lf"
1182 #define MATCOLORINGID      "id"
1183 #define MATCOLORINGGREEDY  "greedy"
1184 
1185 /*E
1186    MatColoringWeightType - Type of weight scheme
1187 
1188     Not Collective
1189 
1190 +   MAT_COLORING_RANDOM  - Random weights
1191 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1192 -   MAT_COLORING_LF      - Last-first weighting.
1193 
1194     Level: intermediate
1195 
1196    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1197 
1198 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1199 E*/
1200 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1201 
1202 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1203 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1204 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1205 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1206 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1207 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1208 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1209 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1210 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1211 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1212 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1213 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1214 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1215 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1216 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1217 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1218 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1219 
1220 /*S
1221      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1222         and coloring
1223 
1224    Level: beginner
1225 
1226   Concepts: coloring, sparse Jacobian, finite differences
1227 
1228 .seealso:  MatFDColoringCreate()
1229 S*/
1230 typedef struct _p_MatFDColoring* MatFDColoring;
1231 
1232 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1233 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1234 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1235 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1236 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1237 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1238 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1239 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1240 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1241 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1242 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1243 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1244 
1245 
1246 /*S
1247      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1248 
1249    Level: beginner
1250 
1251   Concepts: coloring, sparse matrix product
1252 
1253 .seealso:  MatTransposeColoringCreate()
1254 S*/
1255 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1256 
1257 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1258 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1259 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1260 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1261 
1262 /*
1263     These routines are for partitioning matrices: currently used only
1264   for adjacency matrix, MatCreateMPIAdj().
1265 */
1266 
1267 /*S
1268      MatPartitioning - Object for managing the partitioning of a matrix or graph
1269 
1270    Level: beginner
1271 
1272   Concepts: partitioning
1273 
1274 .seealso:  MatPartitioningCreate(), MatPartitioningType
1275 S*/
1276 typedef struct _p_MatPartitioning* MatPartitioning;
1277 
1278 /*J
1279     MatPartitioningType - String with the name of a PETSc matrix partitioning
1280 
1281    Level: beginner
1282 dm
1283 .seealso: MatPartitioningCreate(), MatPartitioning
1284 J*/
1285 typedef const char* MatPartitioningType;
1286 #define MATPARTITIONINGCURRENT  "current"
1287 #define MATPARTITIONINGAVERAGE   "average"
1288 #define MATPARTITIONINGSQUARE   "square"
1289 #define MATPARTITIONINGPARMETIS "parmetis"
1290 #define MATPARTITIONINGCHACO    "chaco"
1291 #define MATPARTITIONINGPARTY    "party"
1292 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1293 #define MATPARTITIONINGHIERARCH  "hierarch"
1294 
1295 
1296 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1297 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1298 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1299 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1300 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1301 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1302 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1303 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1304 
1305 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1306 
1307 
1308 
1309 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1310 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1311 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1312 
1313 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1316 
1317 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1318 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1319 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1320 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1321 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1322 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1323 
1324 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1325 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1328 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1329 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1332 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1333 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1334 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1335 
1336 #define MP_PARTY_OPT "opt"
1337 #define MP_PARTY_LIN "lin"
1338 #define MP_PARTY_SCA "sca"
1339 #define MP_PARTY_RAN "ran"
1340 #define MP_PARTY_GBF "gbf"
1341 #define MP_PARTY_GCF "gcf"
1342 #define MP_PARTY_BUB "bub"
1343 #define MP_PARTY_DEF "def"
1344 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1345 #define MP_PARTY_HELPFUL_SETS "hs"
1346 #define MP_PARTY_KERNIGHAN_LIN "kl"
1347 #define MP_PARTY_NONE "no"
1348 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1351 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1352 
1353 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1354 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1355 
1356 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1357 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1358 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1359 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1360 
1361 /*
1362  * hierarchical partitioning
1363  */
1364 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1365 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1366 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1367 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1368 
1369 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1370 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1371 
1372 /*
1373     If you add entries here you must also add them to petsc/finclude/petscmat.h
1374 */
1375 typedef enum { MATOP_SET_VALUES=0,
1376                MATOP_GET_ROW=1,
1377                MATOP_RESTORE_ROW=2,
1378                MATOP_MULT=3,
1379                MATOP_MULT_ADD=4,
1380                MATOP_MULT_TRANSPOSE=5,
1381                MATOP_MULT_TRANSPOSE_ADD=6,
1382                MATOP_SOLVE=7,
1383                MATOP_SOLVE_ADD=8,
1384                MATOP_SOLVE_TRANSPOSE=9,
1385                MATOP_SOLVE_TRANSPOSE_ADD=10,
1386                MATOP_LUFACTOR=11,
1387                MATOP_CHOLESKYFACTOR=12,
1388                MATOP_SOR=13,
1389                MATOP_TRANSPOSE=14,
1390                MATOP_GETINFO=15,
1391                MATOP_EQUAL=16,
1392                MATOP_GET_DIAGONAL=17,
1393                MATOP_DIAGONAL_SCALE=18,
1394                MATOP_NORM=19,
1395                MATOP_ASSEMBLY_BEGIN=20,
1396                MATOP_ASSEMBLY_END=21,
1397                MATOP_SET_OPTION=22,
1398                MATOP_ZERO_ENTRIES=23,
1399                MATOP_ZERO_ROWS=24,
1400                MATOP_LUFACTOR_SYMBOLIC=25,
1401                MATOP_LUFACTOR_NUMERIC=26,
1402                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1403                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1404                MATOP_SETUP_PREALLOCATION=29,
1405                MATOP_ILUFACTOR_SYMBOLIC=30,
1406                MATOP_ICCFACTOR_SYMBOLIC=31,
1407                MATOP_GET_DIAGONAL_BLOCK=32,
1408                /* MATOP_PLACEHOLDER_33=33, */
1409                MATOP_DUPLICATE=34,
1410                MATOP_FORWARD_SOLVE=35,
1411                MATOP_BACKWARD_SOLVE=36,
1412                MATOP_ILUFACTOR=37,
1413                MATOP_ICCFACTOR=38,
1414                MATOP_AXPY=39,
1415                MATOP_CREATE_SUBMATRICES=40,
1416                MATOP_INCREASE_OVERLAP=41,
1417                MATOP_GET_VALUES=42,
1418                MATOP_COPY=43,
1419                MATOP_GET_ROW_MAX=44,
1420                MATOP_SCALE=45,
1421                MATOP_SHIFT=46,
1422                MATOP_DIAGONAL_SET=47,
1423                MATOP_ZERO_ROWS_COLUMNS=48,
1424                MATOP_SET_RANDOM=49,
1425                MATOP_GET_ROW_IJ=50,
1426                MATOP_RESTORE_ROW_IJ=51,
1427                MATOP_GET_COLUMN_IJ=52,
1428                MATOP_RESTORE_COLUMN_IJ=53,
1429                MATOP_FDCOLORING_CREATE=54,
1430                MATOP_COLORING_PATCH=55,
1431                MATOP_SET_UNFACTORED=56,
1432                MATOP_PERMUTE=57,
1433                MATOP_SET_VALUES_BLOCKED=58,
1434                MATOP_CREATE_SUBMATRIX=59,
1435                MATOP_DESTROY=60,
1436                MATOP_VIEW=61,
1437                MATOP_CONVERT_FROM=62,
1438                MATOP_MATMAT_MULT=63,
1439                MATOP_MATMAT_MULT_SYMBOLIC=64,
1440                MATOP_MATMAT_MULT_NUMERIC=65,
1441                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1442                MATOP_SET_VALUES_LOCAL=67,
1443                MATOP_ZERO_ROWS_LOCAL=68,
1444                MATOP_GET_ROW_MAX_ABS=69,
1445                MATOP_GET_ROW_MIN_ABS=70,
1446                MATOP_CONVERT=71,
1447                MATOP_SET_COLORING=72,
1448                /* MATOP_PLACEHOLDER_73=73, */
1449                MATOP_SET_VALUES_ADIFOR=74,
1450                MATOP_FD_COLORING_APPLY=75,
1451                MATOP_SET_FROM_OPTIONS=76,
1452                MATOP_MULT_CONSTRAINED=77,
1453                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1454                MATOP_FIND_ZERO_DIAGONALS=79,
1455                MATOP_MULT_MULTIPLE=80,
1456                MATOP_SOLVE_MULTIPLE=81,
1457                MATOP_GET_INERTIA=82,
1458                MATOP_LOAD=83,
1459                MATOP_IS_SYMMETRIC=84,
1460                MATOP_IS_HERMITIAN=85,
1461                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1462                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1463                MATOP_GET_VECS=88,
1464                MATOP_MAT_MULT=89,
1465                MATOP_MAT_MULT_SYMBOLIC=90,
1466                MATOP_MAT_MULT_NUMERIC=91,
1467                MATOP_PTAP=92,
1468                MATOP_PTAP_SYMBOLIC=93,
1469                MATOP_PTAP_NUMERIC=94,
1470                MATOP_MAT_TRANSPOSE_MULT=95,
1471                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1472                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1473                /* MATOP_PLACEHOLDER_98=98, */
1474                /* MATOP_PLACEHOLDER_99=99, */
1475                /* MATOP_PLACEHOLDER_100=100, */
1476                /* MATOP_PLACEHOLDER_101=101, */
1477                MATOP_CONJUGATE=102,
1478                /* MATOP_PLACEHOLDER_103=103, */
1479                MATOP_SET_VALUES_ROW=104,
1480                MATOP_REAL_PART=105,
1481                MATOP_IMAGINARY_PART=106,
1482                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1483                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1484                MATOP_MAT_SOLVE=109,
1485                MATOP_MAT_SOLVE_TRANSPOSE=110,
1486                MATOP_GET_ROW_MIN=111,
1487                MATOP_GET_COLUMN_VECTOR=112,
1488                MATOP_MISSING_DIAGONAL=113,
1489                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1490                MATOP_CREATE=115,
1491                MATOP_GET_GHOSTS=116,
1492                MATOP_GET_LOCAL_SUB_MATRIX=117,
1493                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1494                MATOP_MULT_DIAGONAL_BLOCK=119,
1495                MATOP_HERMITIAN_TRANSPOSE=120,
1496                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1497                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1498                MATOP_GET_MULTI_PROC_BLOCK=123,
1499                MATOP_FIND_NONZERO_ROWS=124,
1500                MATOP_GET_COLUMN_NORMS=125,
1501                MATOP_INVERT_BLOCK_DIAGONAL=126,
1502                /* MATOP_PLACEHOLDER_127=127, */
1503                MATOP_GET_SUB_MATRICES_PARALLE=128,
1504                MATOP_SET_VALUES_BATCH=129,
1505                MATOP_TRANSPOSE_MAT_MULT=130,
1506                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1507                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1508                MATOP_TRANSPOSE_COLORING_CREAT=133,
1509                MATOP_TRANS_COLORING_APPLY_SPT=134,
1510                MATOP_TRANS_COLORING_APPLY_DEN=135,
1511                MATOP_RART=136,
1512                MATOP_RART_SYMBOLIC=137,
1513                MATOP_RART_NUMERIC=138,
1514                MATOP_SET_BLOCK_SIZES=139,
1515                MATOP_AYPX=140,
1516                MATOP_RESIDUAL=141,
1517                MATOP_FDCOLORING_SETUP=142,
1518                MATOP_MPICONCATENATESEQ=144
1519              } MatOperation;
1520 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1521 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1522 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1523 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1524 
1525 /*
1526    Codes for matrices stored on disk. By default they are
1527    stored in a universal format. By changing the format with
1528    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1529    be stored in a way natural for the matrix, for example dense matrices
1530    would be stored as dense. Matrices stored this way may only be
1531    read into matrices of the same type.
1532 */
1533 #define MATRIX_BINARY_FORMAT_DENSE -1
1534 
1535 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1536 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1537 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1538 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1539 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1540 
1541 /*S
1542      MatNullSpace - Object that removes a null space from a vector, i.e.
1543          orthogonalizes the vector to a subsapce
1544 
1545    Level: advanced
1546 
1547   Concepts: matrix; linear operator, null space
1548 
1549   Users manual sections:
1550 .   sec_singular
1551 
1552 .seealso:  MatNullSpaceCreate()
1553 S*/
1554 typedef struct _p_MatNullSpace* MatNullSpace;
1555 
1556 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1557 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1558 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1559 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1560 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1561 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1562 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1563 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1564 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1565 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1566 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1567 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1568 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1569 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1570 
1571 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1572 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1573 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1574 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1575 
1576 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1577 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1578 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1579 
1580 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1581 
1582 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1583 
1584 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1585 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1586 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1587 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1588 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1589 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1590 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1591 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1592 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1593 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1594 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1595 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1596 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1597 
1598 /*S
1599     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1600               Jacobian vector products
1601 
1602     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1603 
1604            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1605 
1606     Level: developer
1607 
1608 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1609 S*/
1610 typedef struct _p_MatMFFD* MatMFFD;
1611 
1612 /*J
1613     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1614 
1615    Level: beginner
1616 
1617 .seealso: MatMFFDSetType(), MatMFFDRegister()
1618 J*/
1619 typedef const char* MatMFFDType;
1620 #define MATMFFD_DS  "ds"
1621 #define MATMFFD_WP  "wp"
1622 
1623 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1624 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1625 
1626 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1627 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1628 
1629 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1630 
1631 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1632 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1633 
1634 /*
1635    PETSc interface to MUMPS
1636 */
1637 #ifdef PETSC_HAVE_MUMPS
1638 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1639 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1640 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1641 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1642 
1643 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1644 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1645 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1646 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1647 #endif
1648 
1649 /*
1650    PETSc interface to Mkl_Pardiso
1651 */
1652 #ifdef PETSC_HAVE_MKL_PARDISO
1653 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1654 #endif
1655 
1656 /*
1657    PETSc interface to Mkl_CPardiso
1658 */
1659 #ifdef PETSC_HAVE_MKL_CPARDISO
1660 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1661 #endif
1662 
1663 /*
1664    PETSc interface to SUPERLU
1665 */
1666 #ifdef PETSC_HAVE_SUPERLU
1667 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1668 #endif
1669 
1670 /*
1671    PETSc interface to SUPERLU_DIST
1672 */
1673 #ifdef PETSC_HAVE_SUPERLU_DIST
1674 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1675 #endif
1676 
1677 /*
1678    PETSc interface to STRUMPACK
1679 */
1680 #ifdef PETSC_HAVE_STRUMPACK
1681 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1682 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1683 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1684 #endif
1685 
1686 
1687 #ifdef PETSC_HAVE_CUDA
1688 /*E
1689     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1690     matrices.
1691 
1692     Not Collective
1693 
1694 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1695 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1696 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1697 
1698     Level: intermediate
1699 
1700    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1701 
1702 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1703 E*/
1704 
1705 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1706 
1707 /* these will be strings associated with enumerated type defined above */
1708 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1709 
1710 /*E
1711     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1712     matrices whose operation should use a particular storage format.
1713 
1714     Not Collective
1715 
1716 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1717 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1718 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1719 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1720 
1721     Level: intermediate
1722 
1723 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1724 E*/
1725 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1726 
1727 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1728 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1729 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1730 #endif
1731 
1732 #if defined(PETSC_HAVE_CUSP)
1733 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1734 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1735 
1736 /*E
1737     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1738     matrices.
1739 
1740     Not Collective
1741 
1742 +   MAT_CUSP_CSR - Compressed Sparse Row
1743 .   MAT_CUSP_DIA - Diagonal
1744 -   MAT_CUSP_ELL - Ellpack
1745 
1746     Level: intermediate
1747 
1748    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1749 
1750 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1751 E*/
1752 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1753 
1754 /* these will be strings associated with enumerated type defined above */
1755 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1756 
1757 /*E
1758     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1759     matrices whose operation should use a particular storage format.
1760 
1761     Not Collective
1762 
1763 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1764 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1765 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1766 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1767 
1768     Level: intermediate
1769 
1770    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1771 
1772 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1773 E*/
1774 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1775 
1776 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1777 #endif
1778 
1779 #if defined(PETSC_HAVE_VIENNACL)
1780 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1781 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1782 #endif
1783 
1784 /*
1785    PETSc interface to FFTW
1786 */
1787 #if defined(PETSC_HAVE_FFTW)
1788 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1789 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1790 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1791 #endif
1792 
1793 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1794 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1795 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1796 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1797 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1798 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1799 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1800 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1801 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1802 
1803 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1804 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1805 
1806 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1807 
1808 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1809 
1810 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1811 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1812 
1813 #endif
1814