xref: /petsc/include/petscmat.h (revision fccf883b8d575dff35c78ade578d5b4ecfb79779)
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 MATBAIJMKL         "baijmkl"
55 #define MATSEQBAIJMKL      "seqbaijmkl"
56 #define MATMPIBAIJMKL      "mpibaijmkl"
57 #define MATSHELL           "shell"
58 #define MATDENSE           "dense"
59 #define MATSEQDENSE        "seqdense"
60 #define MATMPIDENSE        "mpidense"
61 #define MATELEMENTAL       "elemental"
62 #define MATBAIJ            "baij"
63 #define MATSEQBAIJ         "seqbaij"
64 #define MATMPIBAIJ         "mpibaij"
65 #define MATMPIADJ          "mpiadj"
66 #define MATSBAIJ           "sbaij"
67 #define MATSEQSBAIJ        "seqsbaij"
68 #define MATMPISBAIJ        "mpisbaij"
69 #define MATDAAD            "daad"
70 #define MATMFFD            "mffd"
71 #define MATNORMAL          "normal"
72 #define MATNORMALHERMITIAN "normalh"
73 #define MATLRC             "lrc"
74 #define MATSCATTER         "scatter"
75 #define MATBLOCKMAT        "blockmat"
76 #define MATCOMPOSITE       "composite"
77 #define MATFFT             "fft"
78 #define MATFFTW            "fftw"
79 #define MATSEQCUFFT        "seqcufft"
80 #define MATTRANSPOSEMAT    "transpose"
81 #define MATSCHURCOMPLEMENT "schurcomplement"
82 #define MATPYTHON          "python"
83 #define MATHYPRE           "hypre"
84 #define MATHYPRESTRUCT     "hyprestruct"
85 #define MATHYPRESSTRUCT    "hypresstruct"
86 #define MATSUBMATRIX       "submatrix"
87 #define MATLOCALREF        "localref"
88 #define MATNEST            "nest"
89 #define MATPREALLOCATOR    "preallocator"
90 #define MATDUMMY           "dummy"
91 
92 /*J
93     MatSolverPackage - String with the name of a PETSc matrix solver type.
94 
95     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
96 
97    Level: beginner
98 
99 .seealso: MatGetFactor(), Mat, MatSetType(), MatType
100 J*/
101 #define MatSolverPackage char*
102 #define MATSOLVERSUPERLU          "superlu"
103 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
104 #define MATSOLVERSTRUMPACK        "strumpack"
105 #define MATSOLVERUMFPACK          "umfpack"
106 #define MATSOLVERCHOLMOD          "cholmod"
107 #define MATSOLVERKLU              "klu"
108 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
109 #define MATSOLVERELEMENTAL        "elemental"
110 #define MATSOLVERESSL             "essl"
111 #define MATSOLVERLUSOL            "lusol"
112 #define MATSOLVERMUMPS            "mumps"
113 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
114 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
115 #define MATSOLVERPASTIX           "pastix"
116 #define MATSOLVERMATLAB           "matlab"
117 #define MATSOLVERPETSC            "petsc"
118 #define MATSOLVERBAS              "bas"
119 #define MATSOLVERCUSPARSE         "cusparse"
120 
121 /*E
122     MatFactorType - indicates what type of factorization is requested
123 
124     Level: beginner
125 
126    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
127 
128 .seealso: MatSolverPackage, MatGetFactor()
129 E*/
130 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
131 PETSC_EXTERN const char *const MatFactorTypes[];
132 
133 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,const MatSolverPackage,MatFactorType,Mat*);
134 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,const MatSolverPackage,MatFactorType,PetscBool *);
135 PETSC_EXTERN PetscErrorCode MatFactorGetSolverPackage(Mat,const MatSolverPackage*);
136 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
137 PETSC_EXTERN PetscErrorCode MatSolverPackageRegister(const MatSolverPackage,const MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
138 PETSC_EXTERN PetscErrorCode MatSolverPackageGet(const MatSolverPackage,const MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
139 
140 /* Logging support */
141 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
142 PETSC_EXTERN PetscClassId MAT_CLASSID;
143 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
144 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
145 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
146 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
147 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
148 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
149 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
150 
151 /*E
152     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
153      are to be reused to store the new matrix values.
154 
155 $  MAT_INITIAL_MATRIX - create a new matrix
156 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
157 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
158 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
159 
160     Level: beginner
161 
162    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
163 
164 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
165 E*/
166 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
167 
168 /*E
169     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
170      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
171 
172     Level: beginner
173 
174 .seealso: MatGetSeqNonzerostructure()
175 E*/
176 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
177 
178 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
179 
180 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
181 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
182 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
183 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
184 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
185 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
186 PETSC_EXTERN PetscErrorCode MatRegisterBaseName(const char[],const char[],const char[]);
187 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
188 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
189 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
190 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
191 
192 PETSC_EXTERN PetscFunctionList MatList;
193 PETSC_EXTERN PetscFunctionList MatColoringList;
194 PETSC_EXTERN PetscFunctionList MatPartitioningList;
195 
196 /*E
197     MatStructure - Indicates if two matrices have the same nonzero structure
198 
199     Level: beginner
200 
201    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
202 
203 .seealso: MatCopy(), MatAXPY()
204 E*/
205 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
206 
207 #if defined PETSC_HAVE_MKL_SPARSE
208 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
209 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A);
210 #endif
211 
212 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
213 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
214 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
215 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
216 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
217 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
218 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
219 
220 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
221 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
222 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
223 
224 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
225 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
226 
227 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
229 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
230 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
231 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
232 
233 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
235 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
236 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
237 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
238 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
241 
242 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
243 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
244 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
245 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
246 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
247 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
248 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
249 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
250 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
251 
252 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
253 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
254 
255 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
256 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
257 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
258 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
259 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
260 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
261 
262 #if defined(PETSC_HAVE_HYPRE)
263 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
264 #endif
265 
266 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
267 
268 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
269 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
270 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
271 
272 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
273 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
274 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
275 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
276 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
277 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
278 
279 /* ------------------------------------------------------------*/
280 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
281 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
282 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
283 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
284 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
285 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
286 
287 /*S
288      MatStencil - Data structure (C struct) for storing information about a single row or
289         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
290 
291    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).
292    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.
293 
294    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
295 
296    Fortran usage is different, see MatSetValuesStencil() for details.
297 
298    Level: beginner
299 
300   Concepts: matrix; linear operator
301 
302 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
303 S*/
304 typedef struct {
305   PetscInt k,j,i,c;
306 } MatStencil;
307 
308 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
309 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
310 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
311 
312 /*E
313     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
314      to continue to add or insert values to it
315 
316     Level: beginner
317 
318 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
319 E*/
320 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
321 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
322 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
323 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
324 
325 
326 
327 /*E
328     MatOption - Options that may be set for a matrix and its behavior or storage
329 
330     Level: beginner
331 
332    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
333    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
334 
335    Developer Notes: Entries that are negative need not be called collectively by all processes.
336 
337 .seealso: MatSetOption()
338 E*/
339 typedef enum {MAT_OPTION_MIN = -3,
340               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
341               MAT_ROW_ORIENTED = -1,
342               MAT_SYMMETRIC = 1,
343               MAT_STRUCTURALLY_SYMMETRIC = 2,
344               MAT_NEW_DIAGONALS = 3,
345               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
346               MAT_USE_HASH_TABLE = 5,
347               MAT_KEEP_NONZERO_PATTERN = 6,
348               MAT_IGNORE_ZERO_ENTRIES = 7,
349               MAT_USE_INODES = 8,
350               MAT_HERMITIAN = 9,
351               MAT_SYMMETRY_ETERNAL = 10,
352               MAT_NEW_NONZERO_LOCATION_ERR = 11,
353               MAT_IGNORE_LOWER_TRIANGULAR = 12,
354               MAT_ERROR_LOWER_TRIANGULAR = 13,
355               MAT_GETROW_UPPERTRIANGULAR = 14,
356               MAT_SPD = 15,
357               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
358               MAT_NO_OFF_PROC_ENTRIES = 17,
359               MAT_NEW_NONZERO_LOCATIONS = 18,
360               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
361               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
362               MAT_SUBMAT_SINGLEIS = 21,
363               MAT_STRUCTURE_ONLY = 22,
364               MAT_OPTION_MAX = 23} MatOption;
365 
366 PETSC_EXTERN const char *const *MatOptions;
367 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
368 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
369 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
370 
371 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
372 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
373 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
374 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
375 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
376 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
377 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
378 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
379 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
380 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
381 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
382 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
383 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
384 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
385 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
386 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
387 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
388 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
389 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
390 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
391 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
392 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
393 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
394 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
395 
396 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
397 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
398 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
399 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
400 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
401 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
402 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
403 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
404 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
405 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
406 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
407 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
408 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
409 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
410 
411 /*E
412     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
413   its numerical values copied over or just its nonzero structure.
414 
415     Level: beginner
416 
417    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
418 
419 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
420 $                               with zeros for the numerical values.
421 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
422 $                               and with the same numerical values.
423 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
424 $                               and does not copy it, using zeros for the numerical values. The parent and
425 $                               child matrices will share their index (i and j) arrays, and you cannot
426 $                               insert new nonzero entries into either matrix.
427 
428 Notes: Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
429 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
430 
431 .seealso: MatDuplicate()
432 E*/
433 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
434 
435 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
436 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
437 
438 
439 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
440 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
441 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
442 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
443 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
444 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
445 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
446 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
447 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
448 
449 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
450 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
451 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
452 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
453 
454 /*S
455      MatInfo - Context of matrix information, used with MatGetInfo()
456 
457    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
458 
459    Level: intermediate
460 
461   Concepts: matrix^nonzero information
462 
463 .seealso:  MatGetInfo(), MatInfoType
464 S*/
465 typedef struct {
466   PetscLogDouble block_size;                         /* block size */
467   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
468   PetscLogDouble memory;                             /* memory allocated */
469   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
470   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
471   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
472   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
473 } MatInfo;
474 
475 /*E
476     MatInfoType - Indicates if you want information about the local part of the matrix,
477      the entire parallel matrix or the maximum over all the local parts.
478 
479     Level: beginner
480 
481    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
482 
483 .seealso: MatGetInfo(), MatInfo
484 E*/
485 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
486 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
487 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
488 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
489 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
490 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
491 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
492 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
493 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
494 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
495 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
496 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
497 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
498 
499 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
500 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
501 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
502 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
503 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
504 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
505 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
506 
507 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
508 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
509 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
510 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
511 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
512 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
513 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
514 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
515 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
516 
517 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
518 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
519 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
520 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
521 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
522 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
523 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
524 
525 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
526 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);}
527 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
528 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);}
529 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
530 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
531 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
532 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);}
533 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
534 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
535 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
536 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
537 
538 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
539 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
540 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
541 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
542 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
543 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
544 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
545 
546 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
547 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
548 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
549 
550 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
551 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
552 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
553 
554 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
555 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
556 
557 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
558 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
559 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
560 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
561 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
562 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
563 
564 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
565 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
566 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
567 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
568 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
569 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
570 
571 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
572 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
573 
574 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
575 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
576 
577 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
578 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
579 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
580 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
581 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
582 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
583 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
584 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
585 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
586 
587 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
588 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
589 
590 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
591 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
592 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
593 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
594 PETSC_DEPRECATED("Use MatCreateVecs()") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
595 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
596 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
597 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
598 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
599 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
600 
601 /*MC
602    MatSetValue - Set a single entry into a matrix.
603 
604    Not collective
605 
606    Synopsis:
607      #include <petscmat.h>
608      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
609 
610    Input Parameters:
611 +  m - the matrix
612 .  row - the row location of the entry
613 .  col - the column location of the entry
614 .  value - the value to insert
615 -  mode - either INSERT_VALUES or ADD_VALUES
616 
617    Notes:
618    For efficiency one should use MatSetValues() and set several or many
619    values simultaneously if possible.
620 
621    Level: beginner
622 
623 .seealso: MatSetValues(), MatSetValueLocal()
624 M*/
625 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
626 
627 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
628 
629 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
630 
631 /*MC
632    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
633        row in a matrix providing the data that one can use to correctly preallocate the matrix.
634 
635    Synopsis:
636    #include <petscmat.h>
637    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
638 
639    Collective on MPI_Comm
640 
641    Input Parameters:
642 +  comm - the communicator that will share the eventually allocated matrix
643 .  nrows - the number of LOCAL rows in the matrix
644 -  ncols - the number of LOCAL columns in the matrix
645 
646    Output Parameters:
647 +  dnz - the array that will be passed to the matrix preallocation routines
648 -  ozn - the other array passed to the matrix preallocation routines
649 
650    Level: intermediate
651 
652    Notes:
653     See Users-Manual: ch_performance for more details.
654 
655    Do not malloc or free dnz and onz, that is handled internally by these routines
656 
657    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
658 
659    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
660 
661   Concepts: preallocation^Matrix
662 
663 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
664           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
665 M*/
666 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
667 { \
668   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ctmp = (ncols),__rstart,__start,__end; \
669   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
670   __start = 0; __end = __start;                                         \
671   _4_ierr = MPI_Scan(&__ctmp,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ctmp;\
672   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows;
673 
674 /*MC
675    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
676        inserted using a local number of the rows and columns
677 
678    Synopsis:
679    #include <petscmat.h>
680    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
681 
682    Not Collective
683 
684    Input Parameters:
685 +  map - the row mapping from local numbering to global numbering
686 .  nrows - the number of rows indicated
687 .  rows - the indices of the rows
688 .  cmap - the column mapping from local to global numbering
689 .  ncols - the number of columns in the matrix
690 .  cols - the columns indicated
691 .  dnz - the array that will be passed to the matrix preallocation routines
692 -  ozn - the other array passed to the matrix preallocation routines
693 
694    Level: intermediate
695 
696    Notes:
697     See Users-Manual: ch_performance for more details.
698 
699    Do not malloc or free dnz and onz, that is handled internally by these routines
700 
701   Concepts: preallocation^Matrix
702 
703 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
704           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
705 M*/
706 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
707 {\
708   PetscInt __l;\
709   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
710   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
711   for (__l=0;__l<nrows;__l++) {\
712     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
713   }\
714 }
715 
716 /*MC
717    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
718        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
719 
720    Synopsis:
721    #include <petscmat.h>
722    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
723 
724    Not Collective
725 
726    Input Parameters:
727 +  map - the row mapping from local numbering to global numbering
728 .  nrows - the number of rows indicated
729 .  rows - the indices of the rows (these values are mapped to the global values)
730 .  cmap - the column mapping from local to global numbering
731 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
732 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
733 .  dnz - the array that will be passed to the matrix preallocation routines
734 -  ozn - the other array passed to the matrix preallocation routines
735 
736    Level: intermediate
737 
738    Notes:
739     See Users-Manual: ch_performance for more details.
740 
741    Do not malloc or free dnz and onz, that is handled internally by these routines
742 
743   Concepts: preallocation^Matrix
744 
745 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
746           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
747 M*/
748 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
749 {\
750   PetscInt __l;\
751   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
752   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
753   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
754   for (__l=0;__l<nrows;__l++) {\
755     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
756   }\
757 }
758 
759 /*MC
760    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
761        inserted using a local number of the rows and columns
762 
763    Synopsis:
764    #include <petscmat.h>
765    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
766 
767    Not Collective
768 
769    Input Parameters:
770 +  map - the row mapping from local numbering to global numbering
771 .  nrows - the number of rows indicated
772 .  rows - the indices of the rows
773 .  cmap - the column mapping from local to global numbering
774 .  ncols - the number of columns in the matrix
775 .  cols - the columns indicated
776 .  dnz - the array that will be passed to the matrix preallocation routines
777 -  ozn - the other array passed to the matrix preallocation routines
778 
779    Level: intermediate
780 
781    Notes:
782     See Users-Manual: ch_performance for more details.
783 
784    Do not malloc or free dnz and onz, that is handled internally by these routines
785 
786   Concepts: preallocation^Matrix
787 
788 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
789           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
790 M*/
791 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
792 {\
793   PetscInt __l;\
794   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
795   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
796   for (__l=0;__l<nrows;__l++) {\
797     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
798   }\
799 }
800 
801 /*MC
802    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
803        inserted using a local number of the rows and columns
804 
805    Synopsis:
806    #include <petscmat.h>
807    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
808 
809    Not Collective
810 
811    Input Parameters:
812 +  map - the mapping between local numbering and global numbering
813 .  nrows - the number of rows indicated
814 .  rows - the indices of the rows
815 .  ncols - the number of columns in the matrix
816 .  cols - the columns indicated
817 .  dnz - the array that will be passed to the matrix preallocation routines
818 -  ozn - the other array passed to the matrix preallocation routines
819 
820    Level: intermediate
821 
822    Notes:
823     See Users-Manual: ch_performance for more details.
824 
825    Do not malloc or free dnz and onz that is handled internally by these routines
826 
827   Concepts: preallocation^Matrix
828 
829 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateInitialize(),
830           MatPreallocateInitialize(),  MatPreallocateSetLocal()
831 M*/
832 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
833 {\
834   PetscInt __l;\
835   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
836   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
837   for (__l=0;__l<nrows;__l++) {\
838     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
839   }\
840 }
841 /*MC
842    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
843        inserted using a local number of the rows and columns
844 
845    Synopsis:
846    #include <petscmat.h>
847    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
848 
849    Not Collective
850 
851    Input Parameters:
852 +  row - the row
853 .  ncols - the number of columns in the matrix
854 -  cols - the columns indicated
855 
856    Output Parameters:
857 +  dnz - the array that will be passed to the matrix preallocation routines
858 -  ozn - the other array passed to the matrix preallocation routines
859 
860    Level: intermediate
861 
862    Notes:
863     See Users-Manual: ch_performance for more details.
864 
865    Do not malloc or free dnz and onz that is handled internally by these routines
866 
867    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
868 
869   Concepts: preallocation^Matrix
870 
871 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateInitialize(),
872           MatPreallocateInitialize(), MatPreallocateSetLocal()
873 M*/
874 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
875 { PetscInt __i; \
876   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);\
877   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);\
878   for (__i=0; __i<nc; __i++) {\
879     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
880     else dnz[row - __rstart]++;\
881   }\
882 }
883 
884 /*MC
885    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
886        inserted using a local number of the rows and columns
887 
888    Synopsis:
889    #include <petscmat.h>
890    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
891 
892    Not Collective
893 
894    Input Parameters:
895 +  nrows - the number of rows indicated
896 .  rows - the indices of the rows
897 .  ncols - the number of columns in the matrix
898 .  cols - the columns indicated
899 .  dnz - the array that will be passed to the matrix preallocation routines
900 -  ozn - the other array passed to the matrix preallocation routines
901 
902    Level: intermediate
903 
904    Notes:
905     See Users-Manual: ch_performance for more details.
906 
907    Do not malloc or free dnz and onz that is handled internally by these routines
908 
909    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
910 
911   Concepts: preallocation^Matrix
912 
913 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
914           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
915 M*/
916 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
917 { PetscInt __i; \
918   for (__i=0; __i<nc; __i++) {\
919     if (cols[__i] >= __end) onz[row - __rstart]++; \
920     else if (cols[__i] >= row) dnz[row - __rstart]++;\
921   }\
922 }
923 
924 /*MC
925    MatPreallocateLocation -  An alternative to MatPreallocationSet() that puts the nonzero locations into the matrix if it exists
926 
927    Synopsis:
928    #include <petscmat.h>
929    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
930 
931    Not Collective
932 
933    Input Parameters:
934 .  A - matrix
935 .  row - row where values exist (must be local to this process)
936 .  ncols - number of columns
937 .  cols - columns with nonzeros
938 .  dnz - the array that will be passed to the matrix preallocation routines
939 -  ozn - the other array passed to the matrix preallocation routines
940 
941    Level: intermediate
942 
943    Notes:
944     See Users-Manual: ch_performance for more details.
945 
946    Do not malloc or free dnz and onz that is handled internally by these routines
947 
948    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
949 
950   Concepts: preallocation^Matrix
951 
952 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
953           MatPreallocateSymmetricSetLocalBlock()
954 M*/
955 #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);}
956 
957 
958 /*MC
959    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
960        row in a matrix providing the data that one can use to correctly preallocate the matrix.
961 
962    Synopsis:
963    #include <petscmat.h>
964    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
965 
966    Collective on MPI_Comm
967 
968    Input Parameters:
969 +  dnz - the array that was be passed to the matrix preallocation routines
970 -  ozn - the other array passed to the matrix preallocation routines
971 
972    Level: intermediate
973 
974    Notes:
975     See Users-Manual: ch_performance for more details.
976 
977    Do not malloc or free dnz and onz that is handled internally by these routines
978 
979    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
980 
981   Concepts: preallocation^Matrix
982 
983 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
984           MatPreallocateSymmetricSetLocalBlock()
985 M*/
986 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);}
987 
988 /* Routines unique to particular data structures */
989 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
990 
991 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
992 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
993 
994 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
995 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
996 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
997 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
998 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
999 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1000 
1001 #define MAT_SKIP_ALLOCATION -4
1002 
1003 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1004 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1005 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1006 
1007 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1008 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1009 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1010 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1011 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1012 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1013 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1014 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1015 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1016 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1017 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1018 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1019 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1020 
1021 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1022 PETSC_EXTERN PetscErrorCode MatISSetUpSF(Mat);
1023 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1024 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1025 
1026 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1027 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1028 
1029 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1030 
1031 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1032 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1033 /*
1034   These routines are not usually accessed directly, rather solving is
1035   done through the KSP and PC interfaces.
1036 */
1037 
1038 /*J
1039     MatOrderingType - String with the name of a PETSc matrix ordering
1040 
1041    Level: beginner
1042 
1043 .seealso: MatGetOrdering()
1044 J*/
1045 typedef const char* MatOrderingType;
1046 #define MATORDERINGNATURAL     "natural"
1047 #define MATORDERINGND          "nd"
1048 #define MATORDERING1WD         "1wd"
1049 #define MATORDERINGRCM         "rcm"
1050 #define MATORDERINGQMD         "qmd"
1051 #define MATORDERINGROWLENGTH   "rowlength"
1052 #define MATORDERINGWBM         "wbm"
1053 #define MATORDERINGSPECTRAL    "spectral"
1054 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1055 
1056 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1057 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1058 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1059 PETSC_EXTERN PetscFunctionList MatOrderingList;
1060 
1061 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1062 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1063 
1064 /*S
1065     MatFactorShiftType - Numeric Shift.
1066 
1067    Level: beginner
1068 
1069 S*/
1070 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1071 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1072 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1073 
1074 /*S
1075     MatFactorError - indicates what type of error in matrix factor
1076 
1077     Level: beginner
1078 
1079     Developer Notes: Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1080 
1081 .seealso: MatGetFactor()
1082 S*/
1083 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1084 
1085 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1086 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1087 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1088 
1089 /*S
1090    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1091 
1092    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1093 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1094 
1095    Notes: These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1096 
1097       You can use MatFactorInfoInitialize() to set default values.
1098 
1099    Level: developer
1100 
1101 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1102           MatFactorInfoInitialize()
1103 
1104 S*/
1105 typedef struct {
1106   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1107   PetscReal     usedt;
1108   PetscReal     dt;             /* drop tolerance */
1109   PetscReal     dtcol;          /* tolerance for pivoting */
1110   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1111   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1112   PetscReal     levels;         /* ICC/ILU(levels) */
1113   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1114                                    factorization may be faster if do not pivot */
1115   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1116   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1117   PetscReal     shiftamount;     /* how large the shift is */
1118 } MatFactorInfo;
1119 
1120 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1121 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1122 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1123 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1124 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1125 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1126 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1127 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1128 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1129 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1130 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1131 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1132 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1133 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1134 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1135 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1136 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1137 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1138 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1139 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1140 
1141 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1142 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1143 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1144 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1145 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1146 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1147 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1148 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1149 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1150 
1151 /*E
1152     MatSORType - What type of (S)SOR to perform
1153 
1154     Level: beginner
1155 
1156    May be bitwise ORd together
1157 
1158    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1159 
1160    MatSORType may be bitwise ORd together, so do not change the numbers
1161 
1162 .seealso: MatSOR()
1163 E*/
1164 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1165               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1166               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1167               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1168 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1169 
1170 /*
1171     These routines are for efficiently computing Jacobians via finite differences.
1172 */
1173 
1174 /*S
1175      MatColoring - Object for managing the coloring of matrices.
1176 
1177    Level: beginner
1178 
1179   Concepts: matrix, coloring
1180 
1181 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1182 S*/
1183 typedef struct _p_MatColoring* MatColoring;
1184 /*J
1185     MatColoringType - String with the name of a PETSc matrix coloring
1186 
1187    Level: beginner
1188 
1189 .seealso: MatColoringSetType(), MatColoring
1190 J*/
1191 
1192 typedef const  char*           MatColoringType;
1193 #define MATCOLORINGJP      "jp"
1194 #define MATCOLORINGPOWER   "power"
1195 #define MATCOLORINGNATURAL "natural"
1196 #define MATCOLORINGSL      "sl"
1197 #define MATCOLORINGLF      "lf"
1198 #define MATCOLORINGID      "id"
1199 #define MATCOLORINGGREEDY  "greedy"
1200 
1201 /*E
1202    MatColoringWeightType - Type of weight scheme
1203 
1204     Not Collective
1205 
1206 +   MAT_COLORING_RANDOM  - Random weights
1207 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1208 -   MAT_COLORING_LF      - Last-first weighting.
1209 
1210     Level: intermediate
1211 
1212    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1213 
1214 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1215 E*/
1216 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1217 
1218 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1219 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1220 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1221 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1222 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1223 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1224 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1225 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1226 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1227 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1228 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1229 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1230 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1231 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1232 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1233 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1234 PETSC_EXTERN PetscErrorCode MatColoringTestValid(MatColoring,ISColoring);
1235 
1236 /*S
1237      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1238         and coloring
1239 
1240    Level: beginner
1241 
1242   Concepts: coloring, sparse Jacobian, finite differences
1243 
1244 .seealso:  MatFDColoringCreate()
1245 S*/
1246 typedef struct _p_MatFDColoring* MatFDColoring;
1247 
1248 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1249 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1250 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1251 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1252 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1253 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1254 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1255 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1256 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1257 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1258 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1259 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1260 
1261 
1262 /*S
1263      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1264 
1265    Level: beginner
1266 
1267   Concepts: coloring, sparse matrix product
1268 
1269 .seealso:  MatTransposeColoringCreate()
1270 S*/
1271 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1272 
1273 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1274 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1275 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1276 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1277 
1278 /*
1279     These routines are for partitioning matrices: currently used only
1280   for adjacency matrix, MatCreateMPIAdj().
1281 */
1282 
1283 /*S
1284      MatPartitioning - Object for managing the partitioning of a matrix or graph
1285 
1286    Level: beginner
1287 
1288   Concepts: partitioning
1289 
1290 .seealso:  MatPartitioningCreate(), MatPartitioningType
1291 S*/
1292 typedef struct _p_MatPartitioning* MatPartitioning;
1293 
1294 /*J
1295     MatPartitioningType - String with the name of a PETSc matrix partitioning
1296 
1297    Level: beginner
1298 dm
1299 .seealso: MatPartitioningCreate(), MatPartitioning
1300 J*/
1301 typedef const char* MatPartitioningType;
1302 #define MATPARTITIONINGCURRENT  "current"
1303 #define MATPARTITIONINGAVERAGE   "average"
1304 #define MATPARTITIONINGSQUARE   "square"
1305 #define MATPARTITIONINGPARMETIS "parmetis"
1306 #define MATPARTITIONINGCHACO    "chaco"
1307 #define MATPARTITIONINGPARTY    "party"
1308 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1309 #define MATPARTITIONINGHIERARCH  "hierarch"
1310 
1311 
1312 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1313 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1314 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1315 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1316 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1317 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1318 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1319 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1320 
1321 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1322 
1323 
1324 
1325 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1326 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1327 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1328 
1329 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1330 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1331 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1332 
1333 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1334 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1335 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1336 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1337 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1338 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1339 
1340 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1341 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1342 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1343 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1344 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1345 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1346 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1347 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1348 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1349 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1350 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1351 
1352 #define MP_PARTY_OPT "opt"
1353 #define MP_PARTY_LIN "lin"
1354 #define MP_PARTY_SCA "sca"
1355 #define MP_PARTY_RAN "ran"
1356 #define MP_PARTY_GBF "gbf"
1357 #define MP_PARTY_GCF "gcf"
1358 #define MP_PARTY_BUB "bub"
1359 #define MP_PARTY_DEF "def"
1360 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1361 #define MP_PARTY_HELPFUL_SETS "hs"
1362 #define MP_PARTY_KERNIGHAN_LIN "kl"
1363 #define MP_PARTY_NONE "no"
1364 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1365 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1366 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1367 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1368 
1369 typedef enum { MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1370 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1371 
1372 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1373 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1375 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1376 
1377 /*
1378  * hierarchical partitioning
1379  */
1380 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1381 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1382 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1383 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1384 
1385 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1386 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1387 
1388 /*
1389     If you add entries here you must also add them to petsc/finclude/petscmat.h
1390 */
1391 typedef enum { MATOP_SET_VALUES=0,
1392                MATOP_GET_ROW=1,
1393                MATOP_RESTORE_ROW=2,
1394                MATOP_MULT=3,
1395                MATOP_MULT_ADD=4,
1396                MATOP_MULT_TRANSPOSE=5,
1397                MATOP_MULT_TRANSPOSE_ADD=6,
1398                MATOP_SOLVE=7,
1399                MATOP_SOLVE_ADD=8,
1400                MATOP_SOLVE_TRANSPOSE=9,
1401                MATOP_SOLVE_TRANSPOSE_ADD=10,
1402                MATOP_LUFACTOR=11,
1403                MATOP_CHOLESKYFACTOR=12,
1404                MATOP_SOR=13,
1405                MATOP_TRANSPOSE=14,
1406                MATOP_GETINFO=15,
1407                MATOP_EQUAL=16,
1408                MATOP_GET_DIAGONAL=17,
1409                MATOP_DIAGONAL_SCALE=18,
1410                MATOP_NORM=19,
1411                MATOP_ASSEMBLY_BEGIN=20,
1412                MATOP_ASSEMBLY_END=21,
1413                MATOP_SET_OPTION=22,
1414                MATOP_ZERO_ENTRIES=23,
1415                MATOP_ZERO_ROWS=24,
1416                MATOP_LUFACTOR_SYMBOLIC=25,
1417                MATOP_LUFACTOR_NUMERIC=26,
1418                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1419                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1420                MATOP_SETUP_PREALLOCATION=29,
1421                MATOP_ILUFACTOR_SYMBOLIC=30,
1422                MATOP_ICCFACTOR_SYMBOLIC=31,
1423                MATOP_GET_DIAGONAL_BLOCK=32,
1424                /* MATOP_PLACEHOLDER_33=33, */
1425                MATOP_DUPLICATE=34,
1426                MATOP_FORWARD_SOLVE=35,
1427                MATOP_BACKWARD_SOLVE=36,
1428                MATOP_ILUFACTOR=37,
1429                MATOP_ICCFACTOR=38,
1430                MATOP_AXPY=39,
1431                MATOP_CREATE_SUBMATRICES=40,
1432                MATOP_INCREASE_OVERLAP=41,
1433                MATOP_GET_VALUES=42,
1434                MATOP_COPY=43,
1435                MATOP_GET_ROW_MAX=44,
1436                MATOP_SCALE=45,
1437                MATOP_SHIFT=46,
1438                MATOP_DIAGONAL_SET=47,
1439                MATOP_ZERO_ROWS_COLUMNS=48,
1440                MATOP_SET_RANDOM=49,
1441                MATOP_GET_ROW_IJ=50,
1442                MATOP_RESTORE_ROW_IJ=51,
1443                MATOP_GET_COLUMN_IJ=52,
1444                MATOP_RESTORE_COLUMN_IJ=53,
1445                MATOP_FDCOLORING_CREATE=54,
1446                MATOP_COLORING_PATCH=55,
1447                MATOP_SET_UNFACTORED=56,
1448                MATOP_PERMUTE=57,
1449                MATOP_SET_VALUES_BLOCKED=58,
1450                MATOP_CREATE_SUBMATRIX=59,
1451                MATOP_DESTROY=60,
1452                MATOP_VIEW=61,
1453                MATOP_CONVERT_FROM=62,
1454                MATOP_MATMAT_MULT=63,
1455                MATOP_MATMAT_MULT_SYMBOLIC=64,
1456                MATOP_MATMAT_MULT_NUMERIC=65,
1457                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1458                MATOP_SET_VALUES_LOCAL=67,
1459                MATOP_ZERO_ROWS_LOCAL=68,
1460                MATOP_GET_ROW_MAX_ABS=69,
1461                MATOP_GET_ROW_MIN_ABS=70,
1462                MATOP_CONVERT=71,
1463                MATOP_SET_COLORING=72,
1464                /* MATOP_PLACEHOLDER_73=73, */
1465                MATOP_SET_VALUES_ADIFOR=74,
1466                MATOP_FD_COLORING_APPLY=75,
1467                MATOP_SET_FROM_OPTIONS=76,
1468                MATOP_MULT_CONSTRAINED=77,
1469                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1470                MATOP_FIND_ZERO_DIAGONALS=79,
1471                MATOP_MULT_MULTIPLE=80,
1472                MATOP_SOLVE_MULTIPLE=81,
1473                MATOP_GET_INERTIA=82,
1474                MATOP_LOAD=83,
1475                MATOP_IS_SYMMETRIC=84,
1476                MATOP_IS_HERMITIAN=85,
1477                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1478                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1479                MATOP_CREATE_VECS=88,
1480                MATOP_MAT_MULT=89,
1481                MATOP_MAT_MULT_SYMBOLIC=90,
1482                MATOP_MAT_MULT_NUMERIC=91,
1483                MATOP_PTAP=92,
1484                MATOP_PTAP_SYMBOLIC=93,
1485                MATOP_PTAP_NUMERIC=94,
1486                MATOP_MAT_TRANSPOSE_MULT=95,
1487                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1488                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1489                /* MATOP_PLACEHOLDER_98=98, */
1490                /* MATOP_PLACEHOLDER_99=99, */
1491                /* MATOP_PLACEHOLDER_100=100, */
1492                /* MATOP_PLACEHOLDER_101=101, */
1493                MATOP_CONJUGATE=102,
1494                /* MATOP_PLACEHOLDER_103=103, */
1495                MATOP_SET_VALUES_ROW=104,
1496                MATOP_REAL_PART=105,
1497                MATOP_IMAGINARY_PART=106,
1498                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1499                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1500                MATOP_MAT_SOLVE=109,
1501                MATOP_MAT_SOLVE_TRANSPOSE=110,
1502                MATOP_GET_ROW_MIN=111,
1503                MATOP_GET_COLUMN_VECTOR=112,
1504                MATOP_MISSING_DIAGONAL=113,
1505                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1506                MATOP_CREATE=115,
1507                MATOP_GET_GHOSTS=116,
1508                MATOP_GET_LOCAL_SUB_MATRIX=117,
1509                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1510                MATOP_MULT_DIAGONAL_BLOCK=119,
1511                MATOP_HERMITIAN_TRANSPOSE=120,
1512                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1513                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1514                MATOP_GET_MULTI_PROC_BLOCK=123,
1515                MATOP_FIND_NONZERO_ROWS=124,
1516                MATOP_GET_COLUMN_NORMS=125,
1517                MATOP_INVERT_BLOCK_DIAGONAL=126,
1518                /* MATOP_PLACEHOLDER_127=127, */
1519                MATOP_CREATE_SUB_MATRICES_MPI=128,
1520                MATOP_SET_VALUES_BATCH=129,
1521                MATOP_TRANSPOSE_MAT_MULT=130,
1522                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1523                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1524                MATOP_TRANSPOSE_COLORING_CREAT=133,
1525                MATOP_TRANS_COLORING_APPLY_SPT=134,
1526                MATOP_TRANS_COLORING_APPLY_DEN=135,
1527                MATOP_RART=136,
1528                MATOP_RART_SYMBOLIC=137,
1529                MATOP_RART_NUMERIC=138,
1530                MATOP_SET_BLOCK_SIZES=139,
1531                MATOP_AYPX=140,
1532                MATOP_RESIDUAL=141,
1533                MATOP_FDCOLORING_SETUP=142,
1534                MATOP_MPICONCATENATESEQ=144,
1535                MATOP_DESTROYSUBMATRICES=145
1536              } MatOperation;
1537 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1538 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1539 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1540 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1541 
1542 /*
1543    Codes for matrices stored on disk. By default they are
1544    stored in a universal format. By changing the format with
1545    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1546    be stored in a way natural for the matrix, for example dense matrices
1547    would be stored as dense. Matrices stored this way may only be
1548    read into matrices of the same type.
1549 */
1550 #define MATRIX_BINARY_FORMAT_DENSE -1
1551 
1552 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1553 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1554 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1555 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1556 PETSC_EXTERN PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1557 
1558 /*S
1559      MatNullSpace - Object that removes a null space from a vector, i.e.
1560          orthogonalizes the vector to a subsapce
1561 
1562    Level: advanced
1563 
1564   Concepts: matrix; linear operator, null space
1565 
1566   Users manual sections:
1567 .   sec_singular
1568 
1569 .seealso:  MatNullSpaceCreate()
1570 S*/
1571 typedef struct _p_MatNullSpace* MatNullSpace;
1572 
1573 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1574 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1575 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1576 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1577 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1578 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1579 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1580 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1581 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1582 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1583 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1584 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1585 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1586 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1587 
1588 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1589 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1590 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1591 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1592 
1593 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1594 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1595 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1596 
1597 PETSC_EXTERN PetscErrorCode MatComputeExplicitOperator(Mat,Mat*);
1598 
1599 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1600 
1601 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1602 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1603 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1604 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1605 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1606 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1607 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1608 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1609 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1610 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1611 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1612 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1613 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1614 
1615 /*S
1616     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1617               Jacobian vector products
1618 
1619     Notes: MATMFFD is a specific MatType which uses the MatMFFD data structure
1620 
1621            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1622 
1623     Level: developer
1624 
1625 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1626 S*/
1627 typedef struct _p_MatMFFD* MatMFFD;
1628 
1629 /*J
1630     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1631 
1632    Level: beginner
1633 
1634 .seealso: MatMFFDSetType(), MatMFFDRegister()
1635 J*/
1636 typedef const char* MatMFFDType;
1637 #define MATMFFD_DS  "ds"
1638 #define MATMFFD_WP  "wp"
1639 
1640 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1641 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1642 
1643 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1644 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1645 
1646 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1647 
1648 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1649 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1650 
1651 /*
1652    PETSc interface to MUMPS
1653 */
1654 #ifdef PETSC_HAVE_MUMPS
1655 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1656 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1657 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1658 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1659 
1660 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1661 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1662 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1663 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1664 #endif
1665 
1666 /*
1667    PETSc interface to Mkl_Pardiso
1668 */
1669 #ifdef PETSC_HAVE_MKL_PARDISO
1670 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1671 #endif
1672 
1673 /*
1674    PETSc interface to Mkl_CPardiso
1675 */
1676 #ifdef PETSC_HAVE_MKL_CPARDISO
1677 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1678 #endif
1679 
1680 /*
1681    PETSc interface to SUPERLU
1682 */
1683 #ifdef PETSC_HAVE_SUPERLU
1684 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1685 #endif
1686 
1687 /*
1688    PETSc interface to SUPERLU_DIST
1689 */
1690 #ifdef PETSC_HAVE_SUPERLU_DIST
1691 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1692 #endif
1693 
1694 /*
1695    PETSc interface to STRUMPACK
1696 */
1697 #ifdef PETSC_HAVE_STRUMPACK
1698 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat,PetscReal);
1699 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat,PetscInt);
1700 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1701 #endif
1702 
1703 
1704 #ifdef PETSC_HAVE_CUDA
1705 /*E
1706     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1707     matrices.
1708 
1709     Not Collective
1710 
1711 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1712 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1713 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1714 
1715     Level: intermediate
1716 
1717    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1718 
1719 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1720 E*/
1721 
1722 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1723 
1724 /* these will be strings associated with enumerated type defined above */
1725 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1726 
1727 /*E
1728     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1729     matrices whose operation should use a particular storage format.
1730 
1731     Not Collective
1732 
1733 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1734 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1735 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1736 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1737 
1738     Level: intermediate
1739 
1740 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1741 E*/
1742 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1743 
1744 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1745 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1746 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1747 #endif
1748 
1749 #if defined(PETSC_HAVE_CUSP)
1750 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1751 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSP(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1752 
1753 /*E
1754     MatCUSPStorageFormat - indicates the storage format for CUSP (GPU)
1755     matrices.
1756 
1757     Not Collective
1758 
1759 +   MAT_CUSP_CSR - Compressed Sparse Row
1760 .   MAT_CUSP_DIA - Diagonal
1761 -   MAT_CUSP_ELL - Ellpack
1762 
1763     Level: intermediate
1764 
1765    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1766 
1767 .seealso: MatCUSPSetFormat(), MatCUSPFormatOperation
1768 E*/
1769 typedef enum {MAT_CUSP_CSR, MAT_CUSP_DIA, MAT_CUSP_ELL} MatCUSPStorageFormat;
1770 
1771 /* these will be strings associated with enumerated type defined above */
1772 PETSC_EXTERN const char *const MatCUSPStorageFormats[];
1773 
1774 /*E
1775     MatCUSPFormatOperation - indicates the operation of CUSP (GPU)
1776     matrices whose operation should use a particular storage format.
1777 
1778     Not Collective
1779 
1780 +   MAT_CUSP_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1781 .   MAT_CUSP_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1782 .   MAT_CUSP_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1783 -   MAT_CUSP_ALL - sets the storage format for all CUSP (GPU) matrices
1784 
1785     Level: intermediate
1786 
1787    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1788 
1789 .seealso: MatCUSPSetFormat(), MatCUSPStorageFormat
1790 E*/
1791 typedef enum {MAT_CUSP_MULT_DIAG, MAT_CUSP_MULT_OFFDIAG, MAT_CUSP_MULT, MAT_CUSP_ALL} MatCUSPFormatOperation;
1792 
1793 PETSC_EXTERN PetscErrorCode MatCUSPSetFormat(Mat,MatCUSPFormatOperation,MatCUSPStorageFormat);
1794 #endif
1795 
1796 #if defined(PETSC_HAVE_VIENNACL)
1797 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1798 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1799 #endif
1800 
1801 /*
1802    PETSc interface to FFTW
1803 */
1804 #if defined(PETSC_HAVE_FFTW)
1805 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1806 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1807 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1808 #endif
1809 
1810 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1811 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1812 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1813 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1814 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1815 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1816 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1817 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1818 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1819 
1820 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1821 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1822 
1823 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1824 
1825 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1826 
1827 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1828 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1829 
1830 #endif
1831