xref: /petsc/include/petscmat.h (revision fc8a9adeb7fcdc98711d755fa2dc544ddccf0f3e)
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, MatSolverType, 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 MATAIJCUSPARSE     "aijcusparse"
40 #define MATSEQAIJCUSPARSE  "seqaijcusparse"
41 #define MATMPIAIJCUSPARSE  "mpiaijcusparse"
42 #define MATAIJVIENNACL     "aijviennacl"
43 #define MATSEQAIJVIENNACL  "seqaijviennacl"
44 #define MATMPIAIJVIENNACL  "mpiaijviennacl"
45 #define MATAIJPERM         "aijperm"
46 #define MATSEQAIJPERM      "seqaijperm"
47 #define MATMPIAIJPERM      "mpiaijperm"
48 #define MATAIJSELL         "aijsell"
49 #define MATSEQAIJSELL      "seqaijsell"
50 #define MATMPIAIJSELL      "mpiaijsell"
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 MATSELL            "sell"
91 #define MATSEQSELL         "seqsell"
92 #define MATMPISELL         "mpisell"
93 #define MATDUMMY           "dummy"
94 #define MATLMVM            "lmvm"
95 #define MATLMVMDFP         "lmvmdfp"
96 #define MATLMVMBFGS        "lmvmbfgs"
97 #define MATLMVMSR1         "lmvmsr1"
98 #define MATLMVMBRDN        "lmvmbrdn"
99 #define MATLMVMBADBRDN     "lmvmbadbrdn"
100 #define MATLMVMSYMBRDN     "lmvmsymbrdn"
101 #define MATLMVMSYMBADBRDN  "lmvmsymbadbrdn"
102 #define MATLMVMDIAGBRDN    "lmvmdiagbrdn"
103 #define MATCONSTANTDIAGONAL "constantdiagonal"
104 
105 /*J
106     MatSolverType - String with the name of a PETSc matrix solver type.
107 
108     For example: "petsc" indicates what PETSc provides, "superlu_dist" the parallel SuperLU_DIST package etc
109 
110    Level: beginner
111 
112 .seealso: MatGetFactor(), PCFactorSetMatSolverType(), PCFactorGetMatSolverType()
113 J*/
114 typedef const char* MatSolverType;
115 #define MATSOLVERSUPERLU          "superlu"
116 #define MATSOLVERSUPERLU_DIST     "superlu_dist"
117 #define MATSOLVERSTRUMPACK        "strumpack"
118 #define MATSOLVERUMFPACK          "umfpack"
119 #define MATSOLVERCHOLMOD          "cholmod"
120 #define MATSOLVERKLU              "klu"
121 #define MATSOLVERSPARSEELEMENTAL  "sparseelemental"
122 #define MATSOLVERELEMENTAL        "elemental"
123 #define MATSOLVERESSL             "essl"
124 #define MATSOLVERLUSOL            "lusol"
125 #define MATSOLVERMUMPS            "mumps"
126 #define MATSOLVERMKL_PARDISO      "mkl_pardiso"
127 #define MATSOLVERMKL_CPARDISO     "mkl_cpardiso"
128 #define MATSOLVERPASTIX           "pastix"
129 #define MATSOLVERMATLAB           "matlab"
130 #define MATSOLVERPETSC            "petsc"
131 #define MATSOLVERBAS              "bas"
132 #define MATSOLVERCUSPARSE         "cusparse"
133 
134 /*E
135     MatFactorType - indicates what type of factorization is requested
136 
137     Level: beginner
138 
139    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
140 
141 .seealso: MatSolverType, MatGetFactor()
142 E*/
143 typedef enum {MAT_FACTOR_NONE, MAT_FACTOR_LU, MAT_FACTOR_CHOLESKY, MAT_FACTOR_ILU, MAT_FACTOR_ICC,MAT_FACTOR_ILUDT} MatFactorType;
144 PETSC_EXTERN const char *const MatFactorTypes[];
145 
146 PETSC_EXTERN PetscErrorCode MatGetFactor(Mat,MatSolverType,MatFactorType,Mat*);
147 PETSC_EXTERN PetscErrorCode MatGetFactorAvailable(Mat,MatSolverType,MatFactorType,PetscBool *);
148 PETSC_EXTERN PetscErrorCode MatFactorGetSolverType(Mat,MatSolverType*);
149 PETSC_EXTERN PetscErrorCode MatGetFactorType(Mat,MatFactorType*);
150 PETSC_EXTERN PetscErrorCode MatSetFactorType(Mat,MatFactorType);
151 PETSC_EXTERN PetscErrorCode MatSolverTypeRegister(MatSolverType,MatType,MatFactorType,PetscErrorCode(*)(Mat,MatFactorType,Mat*));
152 PETSC_EXTERN PetscErrorCode MatSolverTypeGet(MatSolverType,MatType,MatFactorType,PetscBool*,PetscBool*,PetscErrorCode (**)(Mat,MatFactorType,Mat*));
153 typedef MatSolverType MatSolverPackage PETSC_DEPRECATED_TYPEDEF("Use MatSolverType (since version 3.9)");
154 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeRegister() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageRegister(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscErrorCode(*f)(Mat,MatFactorType,Mat*))
155 { return MatSolverTypeRegister(stype,mtype,ftype,f); }
156 PETSC_DEPRECATED_FUNCTION("Use MatSolverTypeGet() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSolverPackageGet(MatSolverType stype,MatType mtype,MatFactorType ftype,PetscBool *foundmtype,PetscBool *foundstype,PetscErrorCode(**f)(Mat,MatFactorType,Mat*))
157 { return MatSolverTypeGet(stype,mtype,ftype,foundmtype,foundstype,f); }
158 
159 /* Logging support */
160 #define    MAT_FILE_CLASSID 1211216    /* used to indicate matrices in binary files */
161 PETSC_EXTERN PetscClassId MAT_CLASSID;
162 PETSC_EXTERN PetscClassId MAT_COLORING_CLASSID;
163 PETSC_EXTERN PetscClassId MAT_FDCOLORING_CLASSID;
164 PETSC_EXTERN PetscClassId MAT_TRANSPOSECOLORING_CLASSID;
165 PETSC_EXTERN PetscClassId MAT_PARTITIONING_CLASSID;
166 PETSC_EXTERN PetscClassId MAT_COARSEN_CLASSID;
167 PETSC_EXTERN PetscClassId MAT_NULLSPACE_CLASSID;
168 PETSC_EXTERN PetscClassId MATMFFD_CLASSID;
169 
170 /*E
171     MatReuse - Indicates if matrices obtained from a previous call to MatCreateSubMatrices(), MatCreateSubMatrix(), MatConvert() or several other functions
172      are to be reused to store the new matrix values.
173 
174 $  MAT_INITIAL_MATRIX - create a new matrix
175 $  MAT_REUSE_MATRIX - reuse the matrix created with a previous call that used MAT_INITIAL_MATRIX
176 $  MAT_INPLACE_MATRIX - replace the first input matrix with the new matrix (not applicable to all functions)
177 $  MAT_IGNORE_MATRIX - do not create a new matrix or reuse a give matrix, just ignore that matrix argument (not applicable to all functions)
178 
179     Level: beginner
180 
181    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
182 
183 .seealso: MatCreateSubMatrices(), MatCreateSubMatrix(), MatDestroyMatrices(), MatConvert()
184 E*/
185 typedef enum {MAT_INITIAL_MATRIX,MAT_REUSE_MATRIX,MAT_IGNORE_MATRIX,MAT_INPLACE_MATRIX} MatReuse;
186 
187 /*E
188     MatCreateSubMatrixOption - Indicates if matrices obtained from a call to MatCreateSubMatrices()
189      include the matrix values. Currently it is only used by MatGetSeqNonzerostructure().
190 
191     Level: beginner
192 
193 .seealso: MatGetSeqNonzerostructure()
194 E*/
195 typedef enum {MAT_DO_NOT_GET_VALUES,MAT_GET_VALUES} MatCreateSubMatrixOption;
196 
197 PETSC_EXTERN PetscErrorCode MatInitializePackage(void);
198 
199 PETSC_EXTERN PetscErrorCode MatCreate(MPI_Comm,Mat*);
200 PETSC_EXTERN PetscErrorCode MatSetSizes(Mat,PetscInt,PetscInt,PetscInt,PetscInt);
201 PETSC_EXTERN PetscErrorCode MatSetType(Mat,MatType);
202 PETSC_EXTERN PetscErrorCode MatSetFromOptions(Mat);
203 PETSC_STATIC_INLINE PetscErrorCode MatViewFromOptions(Mat A,PetscObject obj,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,obj,name);}
204 PETSC_EXTERN PetscErrorCode MatRegister(const char[],PetscErrorCode(*)(Mat));
205 PETSC_EXTERN PetscErrorCode MatRegisterRootName(const char[],const char[],const char[]);
206 PETSC_EXTERN PetscErrorCode MatSetOptionsPrefix(Mat,const char[]);
207 PETSC_EXTERN PetscErrorCode MatAppendOptionsPrefix(Mat,const char[]);
208 PETSC_EXTERN PetscErrorCode MatGetOptionsPrefix(Mat,const char*[]);
209 PETSC_EXTERN PetscErrorCode MatSetErrorIfFailure(Mat,PetscBool);
210 
211 PETSC_EXTERN PetscFunctionList MatList;
212 PETSC_EXTERN PetscFunctionList MatColoringList;
213 PETSC_EXTERN PetscFunctionList MatPartitioningList;
214 
215 /*E
216     MatStructure - Indicates if two matrices have the same nonzero structure
217 
218     Level: beginner
219 
220    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
221 
222 .seealso: MatCopy(), MatAXPY()
223 E*/
224 typedef enum {DIFFERENT_NONZERO_PATTERN,SUBSET_NONZERO_PATTERN,SAME_NONZERO_PATTERN} MatStructure;
225 
226 #if defined PETSC_HAVE_MKL_SPARSE
227 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
228 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
229 PETSC_EXTERN PetscErrorCode MatCreateBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
230 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJMKL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
231 #endif
232 
233 PETSC_EXTERN PetscErrorCode MatCreateSeqSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
234 PETSC_EXTERN PetscErrorCode MatCreateSELL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
235 PETSC_EXTERN PetscErrorCode MatSeqSELLSetPreallocation(Mat,PetscInt,const PetscInt[]);
236 PETSC_EXTERN PetscErrorCode MatMPISELLSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
237 
238 PETSC_EXTERN PetscErrorCode MatCreateSeqDense(MPI_Comm,PetscInt,PetscInt,PetscScalar[],Mat*);
239 PETSC_EXTERN PetscErrorCode MatCreateDense(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar[],Mat*);
240 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
241 PETSC_EXTERN PetscErrorCode MatCreateAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
242 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
243 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSplitArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],PetscInt[],PetscInt[],PetscScalar[],Mat*);
244 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJWithSeqAIJ(MPI_Comm,Mat,Mat,const PetscInt[],Mat*);
245 
246 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
247 PETSC_EXTERN PetscErrorCode MatCreateBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
248 PETSC_EXTERN PetscErrorCode MatCreateMPIBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat*);
249 
250 PETSC_EXTERN PetscErrorCode MatCreateMPIAdj(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscInt[],Mat*);
251 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
252 
253 PETSC_EXTERN PetscErrorCode MatCreateSBAIJ(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
254 PETSC_EXTERN PetscErrorCode MatCreateMPISBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[],Mat *);
255 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
256 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
257 PETSC_EXTERN PetscErrorCode MatXAIJSetPreallocation(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscInt[],const PetscInt[]);
258 
259 PETSC_EXTERN PetscErrorCode MatCreateShell(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,void *,Mat*);
260 PETSC_EXTERN PetscErrorCode MatCreateNormal(Mat,Mat*);
261 PETSC_EXTERN PetscErrorCode MatCreateNormalHermitian(Mat,Mat*);
262 PETSC_EXTERN PetscErrorCode MatCreateLRC(Mat,Mat,Vec,Mat,Mat*);
263 PETSC_EXTERN PetscErrorCode MatLRCGetMats(Mat,Mat*,Mat*,Vec*,Mat*);
264 PETSC_EXTERN PetscErrorCode MatCreateIS(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,ISLocalToGlobalMapping,ISLocalToGlobalMapping,Mat*);
265 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
266 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJCRL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
267 
268 PETSC_EXTERN PetscErrorCode MatCreateScatter(MPI_Comm,VecScatter,Mat*);
269 PETSC_EXTERN PetscErrorCode MatScatterSetVecScatter(Mat,VecScatter);
270 PETSC_EXTERN PetscErrorCode MatScatterGetVecScatter(Mat,VecScatter*);
271 PETSC_EXTERN PetscErrorCode MatCreateBlockMat(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt*,Mat*);
272 PETSC_EXTERN PetscErrorCode MatCompositeAddMat(Mat,Mat);
273 PETSC_EXTERN PetscErrorCode MatCompositeMerge(Mat);
274 typedef enum {MAT_COMPOSITE_MERGE_RIGHT,MAT_COMPOSITE_MERGE_LEFT} MatCompositeMergeType;
275 PETSC_EXTERN PetscErrorCode MatCompositeSetMergeType(Mat,MatCompositeMergeType);
276 PETSC_EXTERN PetscErrorCode MatCreateComposite(MPI_Comm,PetscInt,const Mat*,Mat*);
277 typedef enum {MAT_COMPOSITE_ADDITIVE,MAT_COMPOSITE_MULTIPLICATIVE} MatCompositeType;
278 PETSC_EXTERN PetscErrorCode MatCompositeSetType(Mat,MatCompositeType);
279 PETSC_EXTERN PetscErrorCode MatCompositeGetType(Mat,MatCompositeType*);
280 PETSC_EXTERN PetscErrorCode MatCompositeSetMatStructure(Mat,MatStructure);
281 PETSC_EXTERN PetscErrorCode MatCompositeGetMatStructure(Mat,MatStructure*);
282 PETSC_EXTERN PetscErrorCode MatCompositeGetNumberMat(Mat,PetscInt*);
283 PETSC_EXTERN PetscErrorCode MatCompositeGetMat(Mat,PetscInt,Mat*);
284 
285 PETSC_EXTERN PetscErrorCode MatCreateFFT(MPI_Comm,PetscInt,const PetscInt[],MatType,Mat*);
286 PETSC_EXTERN PetscErrorCode MatCreateSeqCUFFT(MPI_Comm,PetscInt,const PetscInt[],Mat*);
287 
288 PETSC_EXTERN PetscErrorCode MatCreateTranspose(Mat,Mat*);
289 PETSC_EXTERN PetscErrorCode MatTransposeGetMat(Mat,Mat*);
290 PETSC_EXTERN PetscErrorCode MatCreateHermitianTranspose(Mat,Mat*);
291 PETSC_EXTERN PetscErrorCode MatHermitianTransposeGetMat(Mat,Mat*);
292 PETSC_EXTERN PetscErrorCode MatCreateSubMatrixVirtual(Mat,IS,IS,Mat*);
293 PETSC_EXTERN PetscErrorCode MatSubMatrixVirtualUpdate(Mat,Mat,IS,IS);
294 PETSC_EXTERN PetscErrorCode MatCreateLocalRef(Mat,IS,IS,Mat*);
295 PETSC_EXTERN PetscErrorCode MatCreateConstantDiagonal(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscScalar,Mat*);
296 
297 #if defined(PETSC_HAVE_HYPRE)
298 PETSC_EXTERN PetscErrorCode MatHYPRESetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
299 #endif
300 
301 PETSC_EXTERN PetscErrorCode MatPythonSetType(Mat,const char[]);
302 
303 PETSC_EXTERN PetscErrorCode MatResetPreallocation(Mat);
304 PETSC_EXTERN PetscErrorCode MatSetUp(Mat);
305 PETSC_EXTERN PetscErrorCode MatDestroy(Mat*);
306 PETSC_EXTERN PetscErrorCode MatGetNonzeroState(Mat,PetscObjectState*);
307 
308 PETSC_EXTERN PetscErrorCode MatConjugate(Mat);
309 PETSC_EXTERN PetscErrorCode MatRealPart(Mat);
310 PETSC_EXTERN PetscErrorCode MatImaginaryPart(Mat);
311 PETSC_EXTERN PetscErrorCode MatGetDiagonalBlock(Mat,Mat*);
312 PETSC_EXTERN PetscErrorCode MatGetTrace(Mat,PetscScalar*);
313 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonal(Mat,const PetscScalar **);
314 PETSC_EXTERN PetscErrorCode MatInvertVariableBlockDiagonal(Mat,PetscInt,const PetscInt*,PetscScalar*);
315 PETSC_EXTERN PetscErrorCode MatInvertBlockDiagonalMat(Mat,Mat);
316 
317 /* ------------------------------------------------------------*/
318 PETSC_EXTERN PetscErrorCode MatSetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
319 PETSC_EXTERN PetscErrorCode MatSetValuesBlocked(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
320 PETSC_EXTERN PetscErrorCode MatSetValuesRow(Mat,PetscInt,const PetscScalar[]);
321 PETSC_EXTERN PetscErrorCode MatSetValuesRowLocal(Mat,PetscInt,const PetscScalar[]);
322 PETSC_EXTERN PetscErrorCode MatSetValuesBatch(Mat,PetscInt,PetscInt,PetscInt[],const PetscScalar[]);
323 PETSC_EXTERN PetscErrorCode MatSetRandom(Mat,PetscRandom);
324 
325 /*S
326      MatStencil - Data structure (C struct) for storing information about a single row or
327         column of a matrix as indexed on an associated grid. These are arguments to MatSetStencil() and MatSetBlockStencil()
328 
329    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).
330    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.
331 
332    For stencil access to vectors see DMDAVecGetArray(), DMDAVecGetArrayF90().
333 
334    Fortran usage is different, see MatSetValuesStencil() for details.
335 
336    Level: beginner
337 
338   Concepts: matrix; linear operator
339 
340 .seealso:  MatSetValuesStencil(), MatSetStencil(), MatSetValuesBlockedStencil(), DMDAVecGetArray(), DMDAVecGetArrayF90()
341 S*/
342 typedef struct {
343   PetscInt k,j,i,c;
344 } MatStencil;
345 
346 PETSC_EXTERN PetscErrorCode MatSetValuesStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
347 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedStencil(Mat,PetscInt,const MatStencil[],PetscInt,const MatStencil[],const PetscScalar[],InsertMode);
348 PETSC_EXTERN PetscErrorCode MatSetStencil(Mat,PetscInt,const PetscInt[],const PetscInt[],PetscInt);
349 
350 /*E
351     MatAssemblyType - Indicates if the matrix is now to be used, or if you plan
352      to continue to add or insert values to it
353 
354     Level: beginner
355 
356 .seealso: MatAssemblyBegin(), MatAssemblyEnd()
357 E*/
358 typedef enum {MAT_FLUSH_ASSEMBLY=1,MAT_FINAL_ASSEMBLY=0} MatAssemblyType;
359 PETSC_EXTERN PetscErrorCode MatAssemblyBegin(Mat,MatAssemblyType);
360 PETSC_EXTERN PetscErrorCode MatAssemblyEnd(Mat,MatAssemblyType);
361 PETSC_EXTERN PetscErrorCode MatAssembled(Mat,PetscBool *);
362 
363 
364 
365 /*E
366     MatOption - Options that may be set for a matrix and its behavior or storage
367 
368     Level: beginner
369 
370    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
371    Any additions/changes here must also be made in src/mat/interface/dlregismat.c in MatOptions[]
372 
373    Developer Notes:
374     Entries that are negative need not be called collectively by all processes.
375 
376 .seealso: MatSetOption()
377 E*/
378 typedef enum {MAT_OPTION_MIN = -3,
379               MAT_UNUSED_NONZERO_LOCATION_ERR = -2,
380               MAT_ROW_ORIENTED = -1,
381               MAT_SYMMETRIC = 1,
382               MAT_STRUCTURALLY_SYMMETRIC = 2,
383               MAT_NEW_DIAGONALS = 3,
384               MAT_IGNORE_OFF_PROC_ENTRIES = 4,
385               MAT_USE_HASH_TABLE = 5,
386               MAT_KEEP_NONZERO_PATTERN = 6,
387               MAT_IGNORE_ZERO_ENTRIES = 7,
388               MAT_USE_INODES = 8,
389               MAT_HERMITIAN = 9,
390               MAT_SYMMETRY_ETERNAL = 10,
391               MAT_NEW_NONZERO_LOCATION_ERR = 11,
392               MAT_IGNORE_LOWER_TRIANGULAR = 12,
393               MAT_ERROR_LOWER_TRIANGULAR = 13,
394               MAT_GETROW_UPPERTRIANGULAR = 14,
395               MAT_SPD = 15,
396               MAT_NO_OFF_PROC_ZERO_ROWS = 16,
397               MAT_NO_OFF_PROC_ENTRIES = 17,
398               MAT_NEW_NONZERO_LOCATIONS = 18,
399               MAT_NEW_NONZERO_ALLOCATION_ERR = 19,
400               MAT_SUBSET_OFF_PROC_ENTRIES = 20,
401               MAT_SUBMAT_SINGLEIS = 21,
402               MAT_STRUCTURE_ONLY = 22,
403               MAT_OPTION_MAX = 23} MatOption;
404 
405 PETSC_EXTERN const char *const *MatOptions;
406 PETSC_EXTERN PetscErrorCode MatSetOption(Mat,MatOption,PetscBool);
407 PETSC_EXTERN PetscErrorCode MatGetOption(Mat,MatOption,PetscBool*);
408 PETSC_EXTERN PetscErrorCode MatGetType(Mat,MatType*);
409 
410 PETSC_EXTERN PetscErrorCode MatGetValues(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],PetscScalar[]);
411 PETSC_EXTERN PetscErrorCode MatGetRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
412 PETSC_EXTERN PetscErrorCode MatRestoreRow(Mat,PetscInt,PetscInt *,const PetscInt *[],const PetscScalar*[]);
413 PETSC_EXTERN PetscErrorCode MatGetRowUpperTriangular(Mat);
414 PETSC_EXTERN PetscErrorCode MatRestoreRowUpperTriangular(Mat);
415 PETSC_EXTERN PetscErrorCode MatGetColumnVector(Mat,Vec,PetscInt);
416 PETSC_EXTERN PetscErrorCode MatSeqAIJGetArray(Mat,PetscScalar *[]);
417 PETSC_EXTERN PetscErrorCode MatSeqAIJRestoreArray(Mat,PetscScalar *[]);
418 PETSC_EXTERN PetscErrorCode MatSeqAIJGetMaxRowNonzeros(Mat,PetscInt*);
419 PETSC_EXTERN PetscErrorCode MatSeqAIJSetValuesLocalFast(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
420 PETSC_EXTERN PetscErrorCode MatSeqAIJSetType(Mat,MatType);
421 PETSC_EXTERN PetscErrorCode MatSeqAIJRegister(const char[],PetscErrorCode (*)(Mat,MatType,MatReuse,Mat *));
422 PETSC_EXTERN PetscFunctionList MatSeqAIJList;
423 PETSC_EXTERN PetscErrorCode MatSeqSBAIJGetArray(Mat,PetscScalar *[]);
424 PETSC_EXTERN PetscErrorCode MatSeqSBAIJRestoreArray(Mat,PetscScalar *[]);
425 PETSC_EXTERN PetscErrorCode MatDenseGetArray(Mat,PetscScalar *[]);
426 PETSC_EXTERN PetscErrorCode MatDenseRestoreArray(Mat,PetscScalar *[]);
427 PETSC_EXTERN PetscErrorCode MatDensePlaceArray(Mat,const PetscScalar[]);
428 PETSC_EXTERN PetscErrorCode MatDenseResetArray(Mat);
429 PETSC_EXTERN PetscErrorCode MatDenseGetArrayRead(Mat,const PetscScalar *[]);
430 PETSC_EXTERN PetscErrorCode MatDenseRestoreArrayRead(Mat,const PetscScalar *[]);
431 PETSC_EXTERN PetscErrorCode MatGetBlockSize(Mat,PetscInt *);
432 PETSC_EXTERN PetscErrorCode MatSetBlockSize(Mat,PetscInt);
433 PETSC_EXTERN PetscErrorCode MatGetBlockSizes(Mat,PetscInt *,PetscInt *);
434 PETSC_EXTERN PetscErrorCode MatSetBlockSizes(Mat,PetscInt,PetscInt);
435 PETSC_EXTERN PetscErrorCode MatSetBlockSizesFromMats(Mat,Mat,Mat);
436 PETSC_EXTERN PetscErrorCode MatSetVariableBlockSizes(Mat,PetscInt,PetscInt*);
437 PETSC_EXTERN PetscErrorCode MatGetVariableBlockSizes(Mat,PetscInt*,const PetscInt**);
438 
439 PETSC_EXTERN PetscErrorCode MatDenseGetColumn(Mat,PetscInt,PetscScalar *[]);
440 PETSC_EXTERN PetscErrorCode MatDenseRestoreColumn(Mat,PetscScalar *[]);
441 
442 PETSC_EXTERN PetscErrorCode MatMult(Mat,Vec,Vec);
443 PETSC_EXTERN PetscErrorCode MatMultDiagonalBlock(Mat,Vec,Vec);
444 PETSC_EXTERN PetscErrorCode MatMultAdd(Mat,Vec,Vec,Vec);
445 PETSC_EXTERN PetscErrorCode MatMultTranspose(Mat,Vec,Vec);
446 PETSC_EXTERN PetscErrorCode MatMultHermitianTranspose(Mat,Vec,Vec);
447 PETSC_EXTERN PetscErrorCode MatIsTranspose(Mat,Mat,PetscReal,PetscBool *);
448 PETSC_EXTERN PetscErrorCode MatIsHermitianTranspose(Mat,Mat,PetscReal,PetscBool *);
449 PETSC_EXTERN PetscErrorCode MatMultTransposeAdd(Mat,Vec,Vec,Vec);
450 PETSC_EXTERN PetscErrorCode MatMultHermitianTransposeAdd(Mat,Vec,Vec,Vec);
451 PETSC_EXTERN PetscErrorCode MatMultConstrained(Mat,Vec,Vec);
452 PETSC_EXTERN PetscErrorCode MatMultTransposeConstrained(Mat,Vec,Vec);
453 PETSC_EXTERN PetscErrorCode MatMatSolve(Mat,Mat,Mat);
454 PETSC_EXTERN PetscErrorCode MatMatSolveTranspose(Mat,Mat,Mat);
455 PETSC_EXTERN PetscErrorCode MatMatTransposeSolve(Mat,Mat,Mat);
456 PETSC_EXTERN PetscErrorCode MatResidual(Mat,Vec,Vec,Vec);
457 
458 /*E
459     MatDuplicateOption - Indicates if a duplicated sparse matrix should have
460   its numerical values copied over or just its nonzero structure.
461 
462     Level: beginner
463 
464    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
465 
466 $   MAT_DO_NOT_COPY_VALUES    - Create a matrix using the same nonzero pattern as the original matrix,
467 $                               with zeros for the numerical values.
468 $   MAT_COPY_VALUES           - Create a matrix with the same nonzero pattern as the original matrix
469 $                               and with the same numerical values.
470 $   MAT_SHARE_NONZERO_PATTERN - Create a matrix that shares the nonzero structure with the previous matrix
471 $                               and does not copy it, using zeros for the numerical values. The parent and
472 $                               child matrices will share their index (i and j) arrays, and you cannot
473 $                               insert new nonzero entries into either matrix.
474 
475 Notes:
476     Many matrix types (including SeqAIJ) do not support the MAT_SHARE_NONZERO_PATTERN optimization; in
477 this case the behavior is as if MAT_DO_NOT_COPY_VALUES has been specified.
478 
479 .seealso: MatDuplicate()
480 E*/
481 typedef enum {MAT_DO_NOT_COPY_VALUES,MAT_COPY_VALUES,MAT_SHARE_NONZERO_PATTERN} MatDuplicateOption;
482 
483 PETSC_EXTERN PetscErrorCode MatConvert(Mat,MatType,MatReuse,Mat*);
484 PETSC_EXTERN PetscErrorCode MatDuplicate(Mat,MatDuplicateOption,Mat*);
485 
486 
487 PETSC_EXTERN PetscErrorCode MatCopy(Mat,Mat,MatStructure);
488 PETSC_EXTERN PetscErrorCode MatView(Mat,PetscViewer);
489 PETSC_EXTERN PetscErrorCode MatIsSymmetric(Mat,PetscReal,PetscBool *);
490 PETSC_EXTERN PetscErrorCode MatIsStructurallySymmetric(Mat,PetscBool *);
491 PETSC_EXTERN PetscErrorCode MatIsHermitian(Mat,PetscReal,PetscBool *);
492 PETSC_EXTERN PetscErrorCode MatIsSymmetricKnown(Mat,PetscBool *,PetscBool *);
493 PETSC_EXTERN PetscErrorCode MatIsHermitianKnown(Mat,PetscBool *,PetscBool *);
494 PETSC_EXTERN PetscErrorCode MatMissingDiagonal(Mat,PetscBool  *,PetscInt *);
495 PETSC_EXTERN PetscErrorCode MatLoad(Mat, PetscViewer);
496 
497 PETSC_EXTERN PetscErrorCode MatGetRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
498 PETSC_EXTERN PetscErrorCode MatRestoreRowIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
499 PETSC_EXTERN PetscErrorCode MatGetColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt*,const PetscInt *[],const PetscInt *[],PetscBool  *);
500 PETSC_EXTERN PetscErrorCode MatRestoreColumnIJ(Mat,PetscInt,PetscBool ,PetscBool ,PetscInt *,const PetscInt *[],const PetscInt *[],PetscBool  *);
501 
502 /*S
503      MatInfo - Context of matrix information, used with MatGetInfo()
504 
505    In Fortran this is simply a double precision array of dimension MAT_INFO_SIZE
506 
507    Level: intermediate
508 
509   Concepts: matrix^nonzero information
510 
511 .seealso:  MatGetInfo(), MatInfoType
512 S*/
513 typedef struct {
514   PetscLogDouble block_size;                         /* block size */
515   PetscLogDouble nz_allocated,nz_used,nz_unneeded;   /* number of nonzeros */
516   PetscLogDouble memory;                             /* memory allocated */
517   PetscLogDouble assemblies;                         /* number of matrix assemblies called */
518   PetscLogDouble mallocs;                            /* number of mallocs during MatSetValues() */
519   PetscLogDouble fill_ratio_given,fill_ratio_needed; /* fill ratio for LU/ILU */
520   PetscLogDouble factor_mallocs;                     /* number of mallocs during factorization */
521 } MatInfo;
522 
523 /*E
524     MatInfoType - Indicates if you want information about the local part of the matrix,
525      the entire parallel matrix or the maximum over all the local parts.
526 
527     Level: beginner
528 
529    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
530 
531 .seealso: MatGetInfo(), MatInfo
532 E*/
533 typedef enum {MAT_LOCAL=1,MAT_GLOBAL_MAX=2,MAT_GLOBAL_SUM=3} MatInfoType;
534 PETSC_EXTERN PetscErrorCode MatGetInfo(Mat,MatInfoType,MatInfo*);
535 PETSC_EXTERN PetscErrorCode MatGetDiagonal(Mat,Vec);
536 PETSC_EXTERN PetscErrorCode MatGetRowMax(Mat,Vec,PetscInt[]);
537 PETSC_EXTERN PetscErrorCode MatGetRowMin(Mat,Vec,PetscInt[]);
538 PETSC_EXTERN PetscErrorCode MatGetRowMaxAbs(Mat,Vec,PetscInt[]);
539 PETSC_EXTERN PetscErrorCode MatGetRowMinAbs(Mat,Vec,PetscInt[]);
540 PETSC_EXTERN PetscErrorCode MatGetRowSum(Mat,Vec);
541 PETSC_EXTERN PetscErrorCode MatTranspose(Mat,MatReuse,Mat*);
542 PETSC_EXTERN PetscErrorCode MatHermitianTranspose(Mat,MatReuse,Mat*);
543 PETSC_EXTERN PetscErrorCode MatPermute(Mat,IS,IS,Mat*);
544 PETSC_EXTERN PetscErrorCode MatDiagonalScale(Mat,Vec,Vec);
545 PETSC_EXTERN PetscErrorCode MatDiagonalSet(Mat,Vec,InsertMode);
546 
547 PETSC_EXTERN PetscErrorCode MatEqual(Mat,Mat,PetscBool*);
548 PETSC_EXTERN PetscErrorCode MatMultEqual(Mat,Mat,PetscInt,PetscBool*);
549 PETSC_EXTERN PetscErrorCode MatMultAddEqual(Mat,Mat,PetscInt,PetscBool*);
550 PETSC_EXTERN PetscErrorCode MatMultTransposeEqual(Mat,Mat,PetscInt,PetscBool*);
551 PETSC_EXTERN PetscErrorCode MatMultTransposeAddEqual(Mat,Mat,PetscInt,PetscBool*);
552 PETSC_EXTERN PetscErrorCode MatMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
553 PETSC_EXTERN PetscErrorCode MatTransposeMatMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
554 PETSC_EXTERN PetscErrorCode MatMatTransposeMultEqual(Mat,Mat,Mat,PetscInt,PetscBool*);
555 PETSC_EXTERN PetscErrorCode MatIsLinear(Mat,PetscInt,PetscBool*);
556 
557 PETSC_EXTERN PetscErrorCode MatNorm(Mat,NormType,PetscReal*);
558 PETSC_EXTERN PetscErrorCode MatGetColumnNorms(Mat,NormType,PetscReal*);
559 PETSC_EXTERN PetscErrorCode MatZeroEntries(Mat);
560 PETSC_EXTERN PetscErrorCode MatZeroRows(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
561 PETSC_EXTERN PetscErrorCode MatZeroRowsIS(Mat,IS,PetscScalar,Vec,Vec);
562 PETSC_EXTERN PetscErrorCode MatZeroRowsStencil(Mat,PetscInt,const MatStencil [],PetscScalar,Vec,Vec);
563 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsStencil(Mat,PetscInt,const MatStencil[],PetscScalar,Vec,Vec);
564 PETSC_EXTERN PetscErrorCode MatZeroRowsColumns(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
565 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsIS(Mat,IS,PetscScalar,Vec,Vec);
566 
567 PETSC_EXTERN PetscErrorCode MatGetSize(Mat,PetscInt*,PetscInt*);
568 PETSC_EXTERN PetscErrorCode MatGetLocalSize(Mat,PetscInt*,PetscInt*);
569 PETSC_EXTERN PetscErrorCode MatGetOwnershipRange(Mat,PetscInt*,PetscInt*);
570 PETSC_EXTERN PetscErrorCode MatGetOwnershipRanges(Mat,const PetscInt**);
571 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangeColumn(Mat,PetscInt*,PetscInt*);
572 PETSC_EXTERN PetscErrorCode MatGetOwnershipRangesColumn(Mat,const PetscInt**);
573 PETSC_EXTERN PetscErrorCode MatGetOwnershipIS(Mat,IS*,IS*);
574 
575 PETSC_EXTERN PetscErrorCode MatCreateSubMatrices(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
576 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrices() (since version 3.8)") 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);}
577 PETSC_EXTERN PetscErrorCode MatCreateSubMatricesMPI(Mat,PetscInt,const IS[],const IS[],MatReuse,Mat *[]);
578 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatricesMPI() (since version 3.8)") 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);}
579 PETSC_EXTERN PetscErrorCode MatDestroyMatrices(PetscInt,Mat *[]);
580 PETSC_EXTERN PetscErrorCode MatDestroySubMatrices(PetscInt,Mat *[]);
581 PETSC_EXTERN PetscErrorCode MatCreateSubMatrix(Mat,IS,IS,MatReuse,Mat *);
582 PETSC_DEPRECATED_FUNCTION("Use MatCreateSubMatrix() (since version 3.8)") PETSC_STATIC_INLINE PetscErrorCode MatGetSubMatrix(Mat mat,IS isrow,IS iscol,MatReuse cll,Mat *newmat) {return MatCreateSubMatrix(mat,isrow,iscol,cll,newmat);}
583 PETSC_EXTERN PetscErrorCode MatGetLocalSubMatrix(Mat,IS,IS,Mat*);
584 PETSC_EXTERN PetscErrorCode MatRestoreLocalSubMatrix(Mat,IS,IS,Mat*);
585 PETSC_EXTERN PetscErrorCode MatGetSeqNonzeroStructure(Mat,Mat*);
586 PETSC_EXTERN PetscErrorCode MatDestroySeqNonzeroStructure(Mat*);
587 
588 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJ(MPI_Comm,Mat,PetscInt,PetscInt,MatReuse,Mat*);
589 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJSymbolic(MPI_Comm,Mat,PetscInt,PetscInt,Mat*);
590 PETSC_EXTERN PetscErrorCode MatCreateMPIAIJSumSeqAIJNumeric(Mat,Mat);
591 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMat(Mat,MatReuse,Mat*);
592 PETSC_EXTERN PetscErrorCode MatMPIAIJGetLocalMatCondensed(Mat,MatReuse,IS*,IS*,Mat*);
593 PETSC_EXTERN PetscErrorCode MatGetBrowsOfAcols(Mat,Mat,MatReuse,IS*,IS*,Mat*);
594 PETSC_EXTERN PetscErrorCode MatGetGhosts(Mat, PetscInt *,const PetscInt *[]);
595 
596 PETSC_EXTERN PetscErrorCode MatIncreaseOverlap(Mat,PetscInt,IS[],PetscInt);
597 PETSC_EXTERN PetscErrorCode MatIncreaseOverlapSplit(Mat mat,PetscInt n,IS is[],PetscInt ov);
598 PETSC_EXTERN PetscErrorCode MatMPIAIJSetUseScalableIncreaseOverlap(Mat,PetscBool);
599 
600 PETSC_EXTERN PetscErrorCode MatMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
601 PETSC_EXTERN PetscErrorCode MatMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
602 PETSC_EXTERN PetscErrorCode MatMatMultNumeric(Mat,Mat,Mat);
603 
604 PETSC_EXTERN PetscErrorCode MatMatMatMult(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
605 PETSC_EXTERN PetscErrorCode MatGalerkin(Mat,Mat,Mat,MatReuse,PetscReal,Mat*);
606 
607 PETSC_EXTERN PetscErrorCode MatPtAP(Mat,Mat,MatReuse,PetscReal,Mat*);
608 PETSC_EXTERN PetscErrorCode MatPtAPSymbolic(Mat,Mat,PetscReal,Mat*);
609 PETSC_EXTERN PetscErrorCode MatPtAPNumeric(Mat,Mat,Mat);
610 PETSC_EXTERN PetscErrorCode MatRARt(Mat,Mat,MatReuse,PetscReal,Mat*);
611 PETSC_EXTERN PetscErrorCode MatRARtSymbolic(Mat,Mat,PetscReal,Mat*);
612 PETSC_EXTERN PetscErrorCode MatRARtNumeric(Mat,Mat,Mat);
613 
614 PETSC_EXTERN PetscErrorCode MatTransposeMatMult(Mat,Mat,MatReuse,PetscReal,Mat*);
615 PETSC_EXTERN PetscErrorCode MatTransposetMatMultSymbolic(Mat,Mat,PetscReal,Mat*);
616 PETSC_EXTERN PetscErrorCode MatTransposetMatMultNumeric(Mat,Mat,Mat);
617 PETSC_EXTERN PetscErrorCode MatMatTransposeMult(Mat,Mat,MatReuse,PetscReal,Mat*);
618 PETSC_EXTERN PetscErrorCode MatMatTransposeMultSymbolic(Mat,Mat,PetscReal,Mat*);
619 PETSC_EXTERN PetscErrorCode MatMatTransposeMultNumeric(Mat,Mat,Mat);
620 
621 PETSC_EXTERN PetscErrorCode MatAXPY(Mat,PetscScalar,Mat,MatStructure);
622 PETSC_EXTERN PetscErrorCode MatAYPX(Mat,PetscScalar,Mat,MatStructure);
623 
624 PETSC_EXTERN PetscErrorCode MatScale(Mat,PetscScalar);
625 PETSC_EXTERN PetscErrorCode MatShift(Mat,PetscScalar);
626 
627 PETSC_EXTERN PetscErrorCode MatSetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping,ISLocalToGlobalMapping);
628 PETSC_EXTERN PetscErrorCode MatGetLocalToGlobalMapping(Mat,ISLocalToGlobalMapping*,ISLocalToGlobalMapping*);
629 PETSC_EXTERN PetscErrorCode MatGetLayouts(Mat,PetscLayout*,PetscLayout*);
630 PETSC_EXTERN PetscErrorCode MatZeroRowsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
631 PETSC_EXTERN PetscErrorCode MatZeroRowsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
632 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocal(Mat,PetscInt,const PetscInt [],PetscScalar,Vec,Vec);
633 PETSC_EXTERN PetscErrorCode MatZeroRowsColumnsLocalIS(Mat,IS,PetscScalar,Vec,Vec);
634 PETSC_EXTERN PetscErrorCode MatSetValuesLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
635 PETSC_EXTERN PetscErrorCode MatSetValuesBlockedLocal(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[],const PetscScalar[],InsertMode);
636 
637 PETSC_EXTERN PetscErrorCode MatStashSetInitialSize(Mat,PetscInt,PetscInt);
638 PETSC_EXTERN PetscErrorCode MatStashGetInfo(Mat,PetscInt*,PetscInt*,PetscInt*,PetscInt*);
639 
640 PETSC_EXTERN PetscErrorCode MatInterpolate(Mat,Vec,Vec);
641 PETSC_EXTERN PetscErrorCode MatInterpolateAdd(Mat,Vec,Vec,Vec);
642 PETSC_EXTERN PetscErrorCode MatRestrict(Mat,Vec,Vec);
643 PETSC_EXTERN PetscErrorCode MatCreateVecs(Mat,Vec*,Vec*);
644 PETSC_DEPRECATED_FUNCTION("Use MatCreateVecs() (since version 3.6)") PETSC_STATIC_INLINE PetscErrorCode MatGetVecs(Mat mat,Vec *x,Vec *y) {return MatCreateVecs(mat,x,y);}
645 PETSC_EXTERN PetscErrorCode MatCreateRedundantMatrix(Mat,PetscInt,MPI_Comm,MatReuse,Mat*);
646 PETSC_EXTERN PetscErrorCode MatGetMultiProcBlock(Mat,MPI_Comm,MatReuse,Mat*);
647 PETSC_EXTERN PetscErrorCode MatFindZeroDiagonals(Mat,IS*);
648 PETSC_EXTERN PetscErrorCode MatFindOffBlockDiagonalEntries(Mat,IS*);
649 PETSC_EXTERN PetscErrorCode MatCreateMPIMatConcatenateSeqMat(MPI_Comm,Mat,PetscInt,MatReuse,Mat*);
650 
651 /*MC
652    MatSetValue - Set a single entry into a matrix.
653 
654    Not collective
655 
656    Synopsis:
657      #include <petscmat.h>
658      PetscErrorCode MatSetValue(Mat m,PetscInt row,PetscInt col,PetscScalar value,InsertMode mode)
659 
660    Input Parameters:
661 +  m - the matrix
662 .  row - the row location of the entry
663 .  col - the column location of the entry
664 .  value - the value to insert
665 -  mode - either INSERT_VALUES or ADD_VALUES
666 
667    Notes:
668    For efficiency one should use MatSetValues() and set several or many
669    values simultaneously if possible.
670 
671    Level: beginner
672 
673 .seealso: MatSetValues(), MatSetValueLocal()
674 M*/
675 PETSC_STATIC_INLINE PetscErrorCode MatSetValue(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValues(v,1,&i,1,&j,&va,mode);}
676 
677 PETSC_STATIC_INLINE PetscErrorCode MatGetValue(Mat v,PetscInt i,PetscInt j,PetscScalar *va) {return MatGetValues(v,1,&i,1,&j,va);}
678 
679 PETSC_STATIC_INLINE PetscErrorCode MatSetValueLocal(Mat v,PetscInt i,PetscInt j,PetscScalar va,InsertMode mode) {return MatSetValuesLocal(v,1,&i,1,&j,&va,mode);}
680 
681 /*MC
682    MatPreallocateInitialize - Begins the block of code that will count the number of nonzeros per
683        row in a matrix providing the data that one can use to correctly preallocate the matrix.
684 
685    Synopsis:
686    #include <petscmat.h>
687    PetscErrorCode MatPreallocateInitialize(MPI_Comm comm, PetscInt nrows, PetscInt ncols, PetscInt *dnz, PetscInt *onz)
688 
689    Collective on MPI_Comm
690 
691    Input Parameters:
692 +  comm - the communicator that will share the eventually allocated matrix
693 .  nrows - the number of LOCAL rows in the matrix
694 -  ncols - the number of LOCAL columns in the matrix
695 
696    Output Parameters:
697 +  dnz - the array that will be passed to the matrix preallocation routines
698 -  onz - the other array passed to the matrix preallocation routines
699 
700    Level: intermediate
701 
702    Notes:
703     See Users-Manual: ch_performance for more details.
704 
705    Do not malloc or free dnz and onz, that is handled internally by these routines
706 
707    Use MatPreallocateInitializeSymmetric() for symmetric matrices (MPISBAIJ matrices)
708 
709    This is a MACRO not a function because it has a leading { that is closed by PetscPreallocateFinalize().
710 
711   Concepts: preallocation^Matrix
712 
713 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
714           MatPreallocateInitializeSymmetric(), MatPreallocateSymmetricSetLocalBlock()
715 M*/
716 #define MatPreallocateInitialize(comm,nrows,ncols,dnz,onz) 0; \
717 do { \
718   PetscErrorCode _4_ierr; PetscInt __nrows = (nrows),__ncols = (ncols),__rstart,__start,__end; \
719   _4_ierr = PetscCalloc2((size_t)__nrows,&dnz,(size_t)__nrows,&onz);CHKERRQ(_4_ierr); \
720   __start = 0; __end = __start;                                         \
721   _4_ierr = MPI_Scan(&__ncols,&__end,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __start = __end - __ncols;\
722   _4_ierr = MPI_Scan(&__nrows,&__rstart,1,MPIU_INT,MPI_SUM,comm);CHKERRQ(_4_ierr); __rstart = __rstart - __nrows; \
723   do { } while(0)
724 
725 /*MC
726    MatPreallocateSetLocal - Indicates the locations (rows and columns) in the matrix where nonzeros will be
727        inserted using a local number of the rows and columns
728 
729    Synopsis:
730    #include <petscmat.h>
731    PetscErrorCode MatPreallocateSetLocal(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
732 
733    Not Collective
734 
735    Input Parameters:
736 +  map - the row mapping from local numbering to global numbering
737 .  nrows - the number of rows indicated
738 .  rows - the indices of the rows
739 .  cmap - the column mapping from local to global numbering
740 .  ncols - the number of columns in the matrix
741 .  cols - the columns indicated
742 .  dnz - the array that will be passed to the matrix preallocation routines
743 -  onz - the other array passed to the matrix preallocation routines
744 
745    Level: intermediate
746 
747    Notes:
748     See Users-Manual: ch_performance for more details.
749 
750    Do not malloc or free dnz and onz, that is handled internally by these routines
751 
752   Concepts: preallocation^Matrix
753 
754 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
755           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocalRemoveDups()
756 M*/
757 #define MatPreallocateSetLocal(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
758 do {\
759   PetscInt __l;\
760   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
761   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
762   for (__l=0;__l<nrows;__l++) {\
763     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
764   }\
765  } while (0)
766 
767 /*MC
768    MatPreallocateSetLocalRemoveDups - Indicates the locations (rows and columns) in the matrix where nonzeros will be
769        inserted using a local number of the rows and columns. This version removes any duplicate columns in cols
770 
771    Synopsis:
772    #include <petscmat.h>
773    PetscErrorCode MatPreallocateSetLocalRemoveDups(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
774 
775    Not Collective
776 
777    Input Parameters:
778 +  map - the row mapping from local numbering to global numbering
779 .  nrows - the number of rows indicated
780 .  rows - the indices of the rows (these values are mapped to the global values)
781 .  cmap - the column mapping from local to global numbering
782 .  ncols - the number of columns in the matrix   (this value will be changed if duplicate columns are found)
783 .  cols - the columns indicated (these values are mapped to the global values, they are then sorted and duplicates removed)
784 .  dnz - the array that will be passed to the matrix preallocation routines
785 -  onz - the other array passed to the matrix preallocation routines
786 
787    Level: intermediate
788 
789    Notes:
790     See Users-Manual: ch_performance for more details.
791 
792    Do not malloc or free dnz and onz, that is handled internally by these routines
793 
794   Concepts: preallocation^Matrix
795 
796 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
797           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
798 M*/
799 #define MatPreallocateSetLocalRemoveDups(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
800 do {\
801   PetscInt __l;\
802   _4_ierr = ISLocalToGlobalMappingApply(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
803   _4_ierr = ISLocalToGlobalMappingApply(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
804   _4_ierr = PetscSortRemoveDupsInt(&ncols,cols);CHKERRQ(_4_ierr);\
805   for (__l=0;__l<nrows;__l++) {\
806     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
807   }\
808  } while (0)
809 
810 /*MC
811    MatPreallocateSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
812        inserted using a local number of the rows and columns
813 
814    Synopsis:
815    #include <petscmat.h>
816    PetscErrorCode MatPreallocateSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
817 
818    Not Collective
819 
820    Input Parameters:
821 +  map - the row mapping from local numbering to global numbering
822 .  nrows - the number of rows indicated
823 .  rows - the indices of the rows
824 .  cmap - the column mapping from local to global numbering
825 .  ncols - the number of columns in the matrix
826 .  cols - the columns indicated
827 .  dnz - the array that will be passed to the matrix preallocation routines
828 -  onz - the other array passed to the matrix preallocation routines
829 
830    Level: intermediate
831 
832    Notes:
833     See Users-Manual: ch_performance for more details.
834 
835    Do not malloc or free dnz and onz, that is handled internally by these routines
836 
837   Concepts: preallocation^Matrix
838 
839 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
840           MatPreallocateInitialize(), MatPreallocateSymmetricSetLocalBlock()
841 M*/
842 #define MatPreallocateSetLocalBlock(rmap,nrows,rows,cmap,ncols,cols,dnz,onz) 0; \
843 do {\
844   PetscInt __l;\
845   _4_ierr = ISLocalToGlobalMappingApplyBlock(rmap,nrows,rows,rows);CHKERRQ(_4_ierr);\
846   _4_ierr = ISLocalToGlobalMappingApplyBlock(cmap,ncols,cols,cols);CHKERRQ(_4_ierr);\
847   for (__l=0;__l<nrows;__l++) {\
848     _4_ierr = MatPreallocateSet((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
849   }\
850 } while (0)
851 
852 /*MC
853    MatPreallocateSymmetricSetLocalBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
854        inserted using a local number of the rows and columns
855 
856    Synopsis:
857    #include <petscmat.h>
858    PetscErrorCode MatPreallocateSymmetricSetLocalBlock(ISLocalToGlobalMappping map,PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
859 
860    Not Collective
861 
862    Input Parameters:
863 +  map - the mapping between local numbering and global numbering
864 .  nrows - the number of rows indicated
865 .  rows - the indices of the rows
866 .  ncols - the number of columns in the matrix
867 .  cols - the columns indicated
868 .  dnz - the array that will be passed to the matrix preallocation routines
869 -  onz - the other array passed to the matrix preallocation routines
870 
871    Level: intermediate
872 
873    Notes:
874     See Users-Manual: ch_performance for more details.
875 
876    Do not malloc or free dnz and onz that is handled internally by these routines
877 
878   Concepts: preallocation^Matrix
879 
880 .seealso: MatPreallocateFinalize(), MatPreallocateSet()
881           MatPreallocateInitialize(),  MatPreallocateSetLocal()
882 M*/
883 #define MatPreallocateSymmetricSetLocalBlock(map,nrows,rows,ncols,cols,dnz,onz) 0;\
884 do {\
885   PetscInt __l;\
886   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,nrows,rows,rows);CHKERRQ(_4_ierr);\
887   _4_ierr = ISLocalToGlobalMappingApplyBlock(map,ncols,cols,cols);CHKERRQ(_4_ierr);\
888   for (__l=0;__l<nrows;__l++) {\
889     _4_ierr = MatPreallocateSymmetricSetBlock((rows)[__l],ncols,cols,dnz,onz);CHKERRQ(_4_ierr);\
890   }\
891 } while (0)
892 
893 /*MC
894    MatPreallocateSet - Indicates the locations (rows and columns) in the matrix where nonzeros will be
895        inserted using a local number of the rows and columns
896 
897    Synopsis:
898    #include <petscmat.h>
899    PetscErrorCode MatPreallocateSet(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
900 
901    Not Collective
902 
903    Input Parameters:
904 +  row - the row
905 .  ncols - the number of columns in the matrix
906 -  cols - the columns indicated
907 
908    Output Parameters:
909 +  dnz - the array that will be passed to the matrix preallocation routines
910 -  onz - the other array passed to the matrix preallocation routines
911 
912    Level: intermediate
913 
914    Notes:
915     See Users-Manual: ch_performance for more details.
916 
917    Do not malloc or free dnz and onz that is handled internally by these routines
918 
919    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
920 
921   Concepts: preallocation^Matrix
922 
923 .seealso: MatPreallocateFinalize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock()
924           MatPreallocateInitialize(), MatPreallocateSetLocal()
925 M*/
926 #define MatPreallocateSet(row,nc,cols,dnz,onz) 0;\
927 do { PetscInt __i; \
928   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);\
929   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);\
930   for (__i=0; __i<nc; __i++) {\
931     if ((cols)[__i] < __start || (cols)[__i] >= __end) onz[row - __rstart]++; \
932     else if (dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
933   }\
934 } while (0)
935 
936 /*MC
937    MatPreallocateSymmetricSetBlock - Indicates the locations (rows and columns) in the matrix where nonzeros will be
938        inserted using a local number of the rows and columns
939 
940    Synopsis:
941    #include <petscmat.h>
942    PetscErrorCode MatPreallocateSymmetricSetBlock(PetscInt nrows, PetscInt *rows,PetscInt ncols, PetscInt *cols,PetscInt *dnz, PetscInt *onz)
943 
944    Not Collective
945 
946    Input Parameters:
947 +  nrows - the number of rows indicated
948 .  rows - the indices of the rows
949 .  ncols - the number of columns in the matrix
950 .  cols - the columns indicated
951 .  dnz - the array that will be passed to the matrix preallocation routines
952 -  onz - the other array passed to the matrix preallocation routines
953 
954    Level: intermediate
955 
956    Notes:
957     See Users-Manual: ch_performance for more details.
958 
959    Do not malloc or free dnz and onz that is handled internally by these routines
960 
961    This is a MACRO not a function because it uses variables declared in MatPreallocateInitialize().
962 
963   Concepts: preallocation^Matrix
964 
965 .seealso: MatPreallocateFinalize(), MatPreallocateSet(),  MatPreallocateInitialize(),
966           MatPreallocateSymmetricSetLocalBlock(), MatPreallocateSetLocal()
967 M*/
968 #define MatPreallocateSymmetricSetBlock(row,nc,cols,dnz,onz) 0;\
969 do { PetscInt __i; \
970   for (__i=0; __i<nc; __i++) {\
971     if (cols[__i] >= __end) onz[row - __rstart]++; \
972     else if (cols[__i] >= row && dnz[row - __rstart] < __ncols) dnz[row - __rstart]++;\
973   }\
974 } while (0)
975 
976 /*MC
977    MatPreallocateLocation -  An alternative to MatPreallocateSet() that puts the nonzero locations into the matrix if it exists
978 
979    Synopsis:
980    #include <petscmat.h>
981    PetscErrorCode MatPreallocateLocations(Mat A,PetscInt row,PetscInt ncols,PetscInt *cols,PetscInt *dnz,PetscInt *onz)
982 
983    Not Collective
984 
985    Input Parameters:
986 .  A - matrix
987 .  row - row where values exist (must be local to this process)
988 .  ncols - number of columns
989 .  cols - columns with nonzeros
990 .  dnz - the array that will be passed to the matrix preallocation routines
991 -  onz - the other array passed to the matrix preallocation routines
992 
993    Level: intermediate
994 
995    Notes:
996     See Users-Manual: ch_performance for more details.
997 
998    Do not malloc or free dnz and onz that is handled internally by these routines
999 
1000    This is a MACRO not a function because it uses a bunch of variables private to the MatPreallocation.... routines.
1001 
1002   Concepts: preallocation^Matrix
1003 
1004 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1005           MatPreallocateSymmetricSetLocalBlock()
1006 M*/
1007 #define MatPreallocateLocation(A,row,ncols,cols,dnz,onz) 0; do {if (A) {ierr = MatSetValues(A,1,&row,ncols,cols,NULL,INSERT_VALUES);CHKERRQ(ierr);} else {ierr =  MatPreallocateSet(row,ncols,cols,dnz,onz);CHKERRQ(ierr);}} while(0)
1008 
1009 
1010 /*MC
1011    MatPreallocateFinalize - Ends the block of code that will count the number of nonzeros per
1012        row in a matrix providing the data that one can use to correctly preallocate the matrix.
1013 
1014    Synopsis:
1015    #include <petscmat.h>
1016    PetscErrorCode MatPreallocateFinalize(PetscInt *dnz, PetscInt *onz)
1017 
1018    Collective on MPI_Comm
1019 
1020    Input Parameters:
1021 +  dnz - the array that was be passed to the matrix preallocation routines
1022 -  onz - the other array passed to the matrix preallocation routines
1023 
1024    Level: intermediate
1025 
1026    Notes:
1027     See Users-Manual: ch_performance for more details.
1028 
1029    Do not malloc or free dnz and onz that is handled internally by these routines
1030 
1031    This is a MACRO not a function because it closes the { started in MatPreallocateInitialize().
1032 
1033   Concepts: preallocation^Matrix
1034 
1035 .seealso: MatPreallocateInitialize(), MatPreallocateSet(), MatPreallocateSymmetricSetBlock(), MatPreallocateSetLocal(),
1036           MatPreallocateSymmetricSetLocalBlock()
1037 M*/
1038 #define MatPreallocateFinalize(dnz,onz) 0;_4_ierr = PetscFree2(dnz,onz);CHKERRQ(_4_ierr);} while(0)
1039 
1040 /* Routines unique to particular data structures */
1041 PETSC_EXTERN PetscErrorCode MatShellGetContext(Mat,void *);
1042 
1043 PETSC_EXTERN PetscErrorCode MatInodeAdjustForInodes(Mat,IS*,IS*);
1044 PETSC_EXTERN PetscErrorCode MatInodeGetInodeSizes(Mat,PetscInt *,PetscInt *[],PetscInt *);
1045 
1046 PETSC_EXTERN PetscErrorCode MatSeqAIJSetColumnIndices(Mat,PetscInt[]);
1047 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetColumnIndices(Mat,PetscInt[]);
1048 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1049 PETSC_EXTERN PetscErrorCode MatCreateSeqBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1050 PETSC_EXTERN PetscErrorCode MatCreateSeqSBAIJWithArrays(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*);
1051 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJFromTriple(MPI_Comm,PetscInt,PetscInt,PetscInt[],PetscInt[],PetscScalar[],Mat*,PetscInt,PetscBool);
1052 
1053 #define MAT_SKIP_ALLOCATION -4
1054 
1055 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1056 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[]);
1057 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocation(Mat,PetscInt,const PetscInt[]);
1058 
1059 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1060 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetPreallocation(Mat,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1061 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1062 PETSC_EXTERN PetscErrorCode MatSeqAIJSetPreallocationCSR(Mat,const PetscInt [],const PetscInt [],const PetscScalar []);
1063 PETSC_EXTERN PetscErrorCode MatSeqBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1064 PETSC_EXTERN PetscErrorCode MatMPIAIJSetPreallocationCSR(Mat,const PetscInt[],const PetscInt[],const PetscScalar[]);
1065 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetPreallocationCSR(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
1066 PETSC_EXTERN PetscErrorCode MatMPIAdjSetPreallocation(Mat,PetscInt[],PetscInt[],PetscInt[]);
1067 PETSC_EXTERN PetscErrorCode MatMPIAdjToSeq(Mat,Mat*);
1068 PETSC_EXTERN PetscErrorCode MatMPIDenseSetPreallocation(Mat,PetscScalar[]);
1069 PETSC_EXTERN PetscErrorCode MatSeqDenseSetPreallocation(Mat,PetscScalar[]);
1070 PETSC_EXTERN PetscErrorCode MatMPIAIJGetSeqAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1071 PETSC_EXTERN PetscErrorCode MatMPIBAIJGetSeqBAIJ(Mat,Mat*,Mat*,const PetscInt*[]);
1072 PETSC_EXTERN PetscErrorCode MatMPIAdjCreateNonemptySubcommMat(Mat,Mat*);
1073 
1074 PETSC_EXTERN PetscErrorCode MatSeqDenseSetLDA(Mat,PetscInt);
1075 PETSC_EXTERN PetscErrorCode MatDenseGetLDA(Mat,PetscInt*);
1076 PETSC_EXTERN PetscErrorCode MatDenseGetLocalMatrix(Mat,Mat*);
1077 
1078 PETSC_EXTERN PetscErrorCode MatStoreValues(Mat);
1079 PETSC_EXTERN PetscErrorCode MatRetrieveValues(Mat);
1080 
1081 PETSC_EXTERN PetscErrorCode MatDAADSetCtx(Mat,void*);
1082 
1083 PETSC_EXTERN PetscErrorCode MatFindNonzeroRows(Mat,IS*);
1084 PETSC_EXTERN PetscErrorCode MatFindZeroRows(Mat,IS*);
1085 /*
1086   These routines are not usually accessed directly, rather solving is
1087   done through the KSP and PC interfaces.
1088 */
1089 
1090 /*J
1091     MatOrderingType - String with the name of a PETSc matrix ordering
1092 
1093    Level: beginner
1094 
1095 .seealso: MatGetOrdering()
1096 J*/
1097 typedef const char* MatOrderingType;
1098 #define MATORDERINGNATURAL     "natural"
1099 #define MATORDERINGND          "nd"
1100 #define MATORDERING1WD         "1wd"
1101 #define MATORDERINGRCM         "rcm"
1102 #define MATORDERINGQMD         "qmd"
1103 #define MATORDERINGROWLENGTH   "rowlength"
1104 #define MATORDERINGWBM         "wbm"
1105 #define MATORDERINGSPECTRAL    "spectral"
1106 #define MATORDERINGAMD         "amd"            /* only works if UMFPACK is installed with PETSc */
1107 
1108 PETSC_EXTERN PetscErrorCode MatGetOrdering(Mat,MatOrderingType,IS*,IS*);
1109 PETSC_EXTERN PetscErrorCode MatGetOrderingList(PetscFunctionList*);
1110 PETSC_EXTERN PetscErrorCode MatOrderingRegister(const char[],PetscErrorCode(*)(Mat,MatOrderingType,IS*,IS*));
1111 PETSC_EXTERN PetscFunctionList MatOrderingList;
1112 
1113 PETSC_EXTERN PetscErrorCode MatReorderForNonzeroDiagonal(Mat,PetscReal,IS,IS);
1114 PETSC_EXTERN PetscErrorCode MatCreateLaplacian(Mat,PetscReal,PetscBool,Mat*);
1115 
1116 /*S
1117     MatFactorShiftType - Numeric Shift.
1118 
1119    Level: beginner
1120 
1121 S*/
1122 typedef enum {MAT_SHIFT_NONE,MAT_SHIFT_NONZERO,MAT_SHIFT_POSITIVE_DEFINITE,MAT_SHIFT_INBLOCKS} MatFactorShiftType;
1123 PETSC_EXTERN const char *const MatFactorShiftTypes[];
1124 PETSC_EXTERN const char *const MatFactorShiftTypesDetail[];
1125 
1126 /*S
1127     MatFactorError - indicates what type of error in matrix factor
1128 
1129     Level: beginner
1130 
1131     Developer Notes:
1132     Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1133 
1134 .seealso: MatGetFactor()
1135 S*/
1136 typedef enum {MAT_FACTOR_NOERROR,MAT_FACTOR_STRUCT_ZEROPIVOT,MAT_FACTOR_NUMERIC_ZEROPIVOT,MAT_FACTOR_OUTMEMORY,MAT_FACTOR_OTHER} MatFactorError;
1137 
1138 PETSC_EXTERN PetscErrorCode MatFactorGetError(Mat,MatFactorError*);
1139 PETSC_EXTERN PetscErrorCode MatFactorClearError(Mat);
1140 PETSC_EXTERN PetscErrorCode MatFactorGetErrorZeroPivot(Mat,PetscReal*,PetscInt*);
1141 
1142 /*S
1143    MatFactorInfo - Data passed into the matrix factorization routines, and information about the resulting factorization
1144 
1145    In Fortran these are simply double precision arrays of size MAT_FACTORINFO_SIZE, that is use
1146 $     MatFactorInfo  info(MAT_FACTORINFO_SIZE)
1147 
1148    Notes:
1149     These are not usually directly used by users, instead use PC type of LU, ILU, CHOLESKY or ICC.
1150 
1151       You can use MatFactorInfoInitialize() to set default values.
1152 
1153    Level: developer
1154 
1155 .seealso: MatLUFactorSymbolic(), MatILUFactorSymbolic(), MatCholeskyFactorSymbolic(), MatICCFactorSymbolic(), MatICCFactor(),
1156           MatFactorInfoInitialize()
1157 
1158 S*/
1159 typedef struct {
1160   PetscReal     diagonal_fill;  /* force diagonal to fill in if initially not filled */
1161   PetscReal     usedt;
1162   PetscReal     dt;             /* drop tolerance */
1163   PetscReal     dtcol;          /* tolerance for pivoting */
1164   PetscReal     dtcount;        /* maximum nonzeros to be allowed per row */
1165   PetscReal     fill;           /* expected fill, nonzeros in factored matrix/nonzeros in original matrix */
1166   PetscReal     levels;         /* ICC/ILU(levels) */
1167   PetscReal     pivotinblocks;  /* for BAIJ and SBAIJ matrices pivot in factorization on blocks, default 1.0
1168                                    factorization may be faster if do not pivot */
1169   PetscReal     zeropivot;      /* pivot is called zero if less than this */
1170   PetscReal     shifttype;      /* type of shift added to matrix factor to prevent zero pivots */
1171   PetscReal     shiftamount;     /* how large the shift is */
1172 } MatFactorInfo;
1173 
1174 PETSC_EXTERN PetscErrorCode MatFactorInfoInitialize(MatFactorInfo*);
1175 PETSC_EXTERN PetscErrorCode MatCholeskyFactor(Mat,IS,const MatFactorInfo*);
1176 PETSC_EXTERN PetscErrorCode MatCholeskyFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1177 PETSC_EXTERN PetscErrorCode MatCholeskyFactorNumeric(Mat,Mat,const MatFactorInfo*);
1178 PETSC_EXTERN PetscErrorCode MatLUFactor(Mat,IS,IS,const MatFactorInfo*);
1179 PETSC_EXTERN PetscErrorCode MatILUFactor(Mat,IS,IS,const MatFactorInfo*);
1180 PETSC_EXTERN PetscErrorCode MatLUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1181 PETSC_EXTERN PetscErrorCode MatILUFactorSymbolic(Mat,Mat,IS,IS,const MatFactorInfo*);
1182 PETSC_EXTERN PetscErrorCode MatICCFactorSymbolic(Mat,Mat,IS,const MatFactorInfo*);
1183 PETSC_EXTERN PetscErrorCode MatICCFactor(Mat,IS,const MatFactorInfo*);
1184 PETSC_EXTERN PetscErrorCode MatLUFactorNumeric(Mat,Mat,const MatFactorInfo*);
1185 PETSC_EXTERN PetscErrorCode MatGetInertia(Mat,PetscInt*,PetscInt*,PetscInt*);
1186 PETSC_EXTERN PetscErrorCode MatSolve(Mat,Vec,Vec);
1187 PETSC_EXTERN PetscErrorCode MatForwardSolve(Mat,Vec,Vec);
1188 PETSC_EXTERN PetscErrorCode MatBackwardSolve(Mat,Vec,Vec);
1189 PETSC_EXTERN PetscErrorCode MatSolveAdd(Mat,Vec,Vec,Vec);
1190 PETSC_EXTERN PetscErrorCode MatSolveTranspose(Mat,Vec,Vec);
1191 PETSC_EXTERN PetscErrorCode MatSolveTransposeAdd(Mat,Vec,Vec,Vec);
1192 PETSC_EXTERN PetscErrorCode MatSolves(Mat,Vecs,Vecs);
1193 PETSC_EXTERN PetscErrorCode MatSetUnfactored(Mat);
1194 
1195 typedef enum {MAT_FACTOR_SCHUR_UNFACTORED, MAT_FACTOR_SCHUR_FACTORED, MAT_FACTOR_SCHUR_INVERTED} MatFactorSchurStatus;
1196 PETSC_EXTERN PetscErrorCode MatFactorSetSchurIS(Mat,IS);
1197 PETSC_EXTERN PetscErrorCode MatFactorGetSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1198 PETSC_EXTERN PetscErrorCode MatFactorRestoreSchurComplement(Mat,Mat*,MatFactorSchurStatus);
1199 PETSC_EXTERN PetscErrorCode MatFactorInvertSchurComplement(Mat);
1200 PETSC_EXTERN PetscErrorCode MatFactorCreateSchurComplement(Mat,Mat*,MatFactorSchurStatus*);
1201 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplement(Mat,Vec,Vec);
1202 PETSC_EXTERN PetscErrorCode MatFactorSolveSchurComplementTranspose(Mat,Vec,Vec);
1203 PETSC_EXTERN PetscErrorCode MatFactorFactorizeSchurComplement(Mat);
1204 
1205 /*E
1206     MatSORType - What type of (S)SOR to perform
1207 
1208     Level: beginner
1209 
1210    May be bitwise ORd together
1211 
1212    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1213 
1214    MatSORType may be bitwise ORd together, so do not change the numbers
1215 
1216 .seealso: MatSOR()
1217 E*/
1218 typedef enum {SOR_FORWARD_SWEEP=1,SOR_BACKWARD_SWEEP=2,SOR_SYMMETRIC_SWEEP=3,
1219               SOR_LOCAL_FORWARD_SWEEP=4,SOR_LOCAL_BACKWARD_SWEEP=8,
1220               SOR_LOCAL_SYMMETRIC_SWEEP=12,SOR_ZERO_INITIAL_GUESS=16,
1221               SOR_EISENSTAT=32,SOR_APPLY_UPPER=64,SOR_APPLY_LOWER=128} MatSORType;
1222 PETSC_EXTERN PetscErrorCode MatSOR(Mat,Vec,PetscReal,MatSORType,PetscReal,PetscInt,PetscInt,Vec);
1223 
1224 /*
1225     These routines are for efficiently computing Jacobians via finite differences.
1226 */
1227 
1228 /*S
1229      MatColoring - Object for managing the coloring of matrices.
1230 
1231    Level: beginner
1232 
1233   Concepts: matrix, coloring
1234 
1235 .seealso:  MatFDColoringCreate() ISColoring MatFDColoring
1236 S*/
1237 typedef struct _p_MatColoring* MatColoring;
1238 /*J
1239     MatColoringType - String with the name of a PETSc matrix coloring
1240 
1241    Level: beginner
1242 
1243 .seealso: MatColoringSetType(), MatColoring
1244 J*/
1245 
1246 typedef const  char*           MatColoringType;
1247 #define MATCOLORINGJP      "jp"
1248 #define MATCOLORINGPOWER   "power"
1249 #define MATCOLORINGNATURAL "natural"
1250 #define MATCOLORINGSL      "sl"
1251 #define MATCOLORINGLF      "lf"
1252 #define MATCOLORINGID      "id"
1253 #define MATCOLORINGGREEDY  "greedy"
1254 
1255 /*E
1256    MatColoringWeightType - Type of weight scheme
1257 
1258     Not Collective
1259 
1260 +   MAT_COLORING_RANDOM  - Random weights
1261 .   MAT_COLORING_LEXICAL - Lexical weighting based upon global numbering.
1262 -   MAT_COLORING_LF      - Last-first weighting.
1263 
1264     Level: intermediate
1265 
1266    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1267 E*/
1268 typedef enum {MAT_COLORING_WEIGHT_RANDOM,MAT_COLORING_WEIGHT_LEXICAL,MAT_COLORING_WEIGHT_LF,MAT_COLORING_WEIGHT_SL} MatColoringWeightType;
1269 
1270 PETSC_EXTERN PetscErrorCode MatColoringCreate(Mat,MatColoring*);
1271 PETSC_EXTERN PetscErrorCode MatColoringGetDegrees(Mat,PetscInt,PetscInt*);
1272 PETSC_EXTERN PetscErrorCode MatColoringDestroy(MatColoring*);
1273 PETSC_EXTERN PetscErrorCode MatColoringView(MatColoring,PetscViewer);
1274 PETSC_EXTERN PetscErrorCode MatColoringSetType(MatColoring,MatColoringType);
1275 PETSC_EXTERN PetscErrorCode MatColoringSetFromOptions(MatColoring);
1276 PETSC_EXTERN PetscErrorCode MatColoringSetDistance(MatColoring,PetscInt);
1277 PETSC_EXTERN PetscErrorCode MatColoringGetDistance(MatColoring,PetscInt*);
1278 PETSC_EXTERN PetscErrorCode MatColoringSetMaxColors(MatColoring,PetscInt);
1279 PETSC_EXTERN PetscErrorCode MatColoringGetMaxColors(MatColoring,PetscInt*);
1280 PETSC_EXTERN PetscErrorCode MatColoringApply(MatColoring,ISColoring*);
1281 PETSC_EXTERN PetscErrorCode MatColoringRegister(const char[],PetscErrorCode(*)(MatColoring));
1282 PETSC_EXTERN PetscErrorCode MatColoringPatch(Mat,PetscInt,PetscInt,ISColoringValue[],ISColoring*);
1283 PETSC_EXTERN PetscErrorCode MatColoringSetWeightType(MatColoring,MatColoringWeightType);
1284 PETSC_EXTERN PetscErrorCode MatColoringSetWeights(MatColoring,PetscReal*,PetscInt*);
1285 PETSC_EXTERN PetscErrorCode MatColoringCreateWeights(MatColoring,PetscReal **,PetscInt **lperm);
1286 PETSC_EXTERN PetscErrorCode MatColoringTest(MatColoring,ISColoring);
1287 PETSC_DEPRECATED_FUNCTION("Use MatColoringTest() (since version 3.10)") PETSC_STATIC_INLINE PetscErrorCode MatColoringTestValid(MatColoring matcoloring,ISColoring iscoloring) {return MatColoringTest(matcoloring,iscoloring);}
1288 PETSC_EXTERN PetscErrorCode MatISColoringTest(Mat,ISColoring);
1289 
1290 /*S
1291      MatFDColoring - Object for computing a sparse Jacobian via finite differences
1292         and coloring
1293 
1294    Level: beginner
1295 
1296   Concepts: coloring, sparse Jacobian, finite differences
1297 
1298 .seealso:  MatFDColoringCreate()
1299 S*/
1300 typedef struct _p_MatFDColoring* MatFDColoring;
1301 
1302 PETSC_EXTERN PetscErrorCode MatFDColoringCreate(Mat,ISColoring,MatFDColoring *);
1303 PETSC_EXTERN PetscErrorCode MatFDColoringDestroy(MatFDColoring*);
1304 PETSC_EXTERN PetscErrorCode MatFDColoringView(MatFDColoring,PetscViewer);
1305 PETSC_EXTERN PetscErrorCode MatFDColoringSetFunction(MatFDColoring,PetscErrorCode (*)(void),void*);
1306 PETSC_EXTERN PetscErrorCode MatFDColoringGetFunction(MatFDColoring,PetscErrorCode (**)(void),void**);
1307 PETSC_EXTERN PetscErrorCode MatFDColoringSetParameters(MatFDColoring,PetscReal,PetscReal);
1308 PETSC_EXTERN PetscErrorCode MatFDColoringSetFromOptions(MatFDColoring);
1309 PETSC_EXTERN PetscErrorCode MatFDColoringApply(Mat,MatFDColoring,Vec,void *);
1310 PETSC_EXTERN PetscErrorCode MatFDColoringSetF(MatFDColoring,Vec);
1311 PETSC_EXTERN PetscErrorCode MatFDColoringGetPerturbedColumns(MatFDColoring,PetscInt*,const PetscInt*[]);
1312 PETSC_EXTERN PetscErrorCode MatFDColoringSetUp(Mat,ISColoring,MatFDColoring);
1313 PETSC_EXTERN PetscErrorCode MatFDColoringSetBlockSize(MatFDColoring,PetscInt,PetscInt);
1314 
1315 
1316 /*S
1317      MatTransposeColoring - Object for computing a sparse matrix product C=A*B^T via coloring
1318 
1319    Level: beginner
1320 
1321   Concepts: coloring, sparse matrix product
1322 
1323 .seealso:  MatTransposeColoringCreate()
1324 S*/
1325 typedef struct _p_MatTransposeColoring* MatTransposeColoring;
1326 
1327 PETSC_EXTERN PetscErrorCode MatTransposeColoringCreate(Mat,ISColoring,MatTransposeColoring *);
1328 PETSC_EXTERN PetscErrorCode MatTransColoringApplySpToDen(MatTransposeColoring,Mat,Mat);
1329 PETSC_EXTERN PetscErrorCode MatTransColoringApplyDenToSp(MatTransposeColoring,Mat,Mat);
1330 PETSC_EXTERN PetscErrorCode MatTransposeColoringDestroy(MatTransposeColoring*);
1331 
1332 /*
1333     These routines are for partitioning matrices: currently used only
1334   for adjacency matrix, MatCreateMPIAdj().
1335 */
1336 
1337 /*S
1338      MatPartitioning - Object for managing the partitioning of a matrix or graph
1339 
1340    Level: beginner
1341 
1342   Concepts: partitioning
1343 
1344 .seealso:  MatPartitioningCreate(), MatPartitioningType
1345 S*/
1346 typedef struct _p_MatPartitioning* MatPartitioning;
1347 
1348 /*J
1349     MatPartitioningType - String with the name of a PETSc matrix partitioning
1350 
1351    Level: beginner
1352 dm
1353 .seealso: MatPartitioningCreate(), MatPartitioning
1354 J*/
1355 typedef const char* MatPartitioningType;
1356 #define MATPARTITIONINGCURRENT  "current"
1357 #define MATPARTITIONINGAVERAGE   "average"
1358 #define MATPARTITIONINGSQUARE   "square"
1359 #define MATPARTITIONINGPARMETIS "parmetis"
1360 #define MATPARTITIONINGCHACO    "chaco"
1361 #define MATPARTITIONINGPARTY    "party"
1362 #define MATPARTITIONINGPTSCOTCH "ptscotch"
1363 #define MATPARTITIONINGHIERARCH  "hierarch"
1364 
1365 
1366 PETSC_EXTERN PetscErrorCode MatPartitioningCreate(MPI_Comm,MatPartitioning*);
1367 PETSC_EXTERN PetscErrorCode MatPartitioningSetType(MatPartitioning,MatPartitioningType);
1368 PETSC_EXTERN PetscErrorCode MatPartitioningSetNParts(MatPartitioning,PetscInt);
1369 PETSC_EXTERN PetscErrorCode MatPartitioningSetAdjacency(MatPartitioning,Mat);
1370 PETSC_EXTERN PetscErrorCode MatPartitioningSetVertexWeights(MatPartitioning,const PetscInt[]);
1371 PETSC_EXTERN PetscErrorCode MatPartitioningSetPartitionWeights(MatPartitioning,const PetscReal []);
1372 PETSC_EXTERN PetscErrorCode MatPartitioningApply(MatPartitioning,IS*);
1373 PETSC_EXTERN PetscErrorCode MatPartitioningImprove(MatPartitioning,IS*);
1374 PETSC_EXTERN PetscErrorCode MatPartitioningViewImbalance(MatPartitioning,IS);
1375 PETSC_EXTERN PetscErrorCode MatPartitioningApplyND(MatPartitioning,IS*);
1376 PETSC_EXTERN PetscErrorCode MatPartitioningDestroy(MatPartitioning*);
1377 
1378 PETSC_EXTERN PetscErrorCode MatPartitioningRegister(const char[],PetscErrorCode (*)(MatPartitioning));
1379 
1380 
1381 
1382 PETSC_EXTERN PetscErrorCode MatPartitioningView(MatPartitioning,PetscViewer);
1383 PETSC_STATIC_INLINE PetscErrorCode MatPartitioningViewFromOptions(MatPartitioning A,PetscObject B,const char name[]) {return PetscObjectViewFromOptions((PetscObject)A,B,name);}
1384 
1385 PETSC_EXTERN PetscErrorCode MatPartitioningSetFromOptions(MatPartitioning);
1386 PETSC_EXTERN PetscErrorCode MatPartitioningGetType(MatPartitioning,MatPartitioningType*);
1387 
1388 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetRepartition(MatPartitioning part);
1389 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisSetCoarseSequential(MatPartitioning);
1390 PETSC_EXTERN PetscErrorCode MatPartitioningParmetisGetEdgeCut(MatPartitioning, PetscInt *);
1391 
1392 typedef enum { MP_CHACO_MULTILEVEL=1,MP_CHACO_SPECTRAL=2,MP_CHACO_LINEAR=4,MP_CHACO_RANDOM=5,MP_CHACO_SCATTERED=6 } MPChacoGlobalType;
1393 PETSC_EXTERN const char *const MPChacoGlobalTypes[];
1394 typedef enum { MP_CHACO_KERNIGHAN=1,MP_CHACO_NONE=2 } MPChacoLocalType;
1395 PETSC_EXTERN const char *const MPChacoLocalTypes[];
1396 typedef enum { MP_CHACO_LANCZOS=0,MP_CHACO_RQI=1 } MPChacoEigenType;
1397 PETSC_EXTERN const char *const MPChacoEigenTypes[];
1398 
1399 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetGlobal(MatPartitioning,MPChacoGlobalType);
1400 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetGlobal(MatPartitioning,MPChacoGlobalType*);
1401 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetLocal(MatPartitioning,MPChacoLocalType);
1402 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetLocal(MatPartitioning,MPChacoLocalType*);
1403 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetCoarseLevel(MatPartitioning,PetscReal);
1404 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenSolver(MatPartitioning,MPChacoEigenType);
1405 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenSolver(MatPartitioning,MPChacoEigenType*);
1406 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenTol(MatPartitioning,PetscReal);
1407 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenTol(MatPartitioning,PetscReal*);
1408 PETSC_EXTERN PetscErrorCode MatPartitioningChacoSetEigenNumber(MatPartitioning,PetscInt);
1409 PETSC_EXTERN PetscErrorCode MatPartitioningChacoGetEigenNumber(MatPartitioning,PetscInt*);
1410 
1411 #define MP_PARTY_OPT "opt"
1412 #define MP_PARTY_LIN "lin"
1413 #define MP_PARTY_SCA "sca"
1414 #define MP_PARTY_RAN "ran"
1415 #define MP_PARTY_GBF "gbf"
1416 #define MP_PARTY_GCF "gcf"
1417 #define MP_PARTY_BUB "bub"
1418 #define MP_PARTY_DEF "def"
1419 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetGlobal(MatPartitioning,const char*);
1420 #define MP_PARTY_HELPFUL_SETS "hs"
1421 #define MP_PARTY_KERNIGHAN_LIN "kl"
1422 #define MP_PARTY_NONE "no"
1423 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetLocal(MatPartitioning,const char*);
1424 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetCoarseLevel(MatPartitioning,PetscReal);
1425 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetBipart(MatPartitioning,PetscBool);
1426 PETSC_EXTERN PetscErrorCode MatPartitioningPartySetMatchOptimization(MatPartitioning,PetscBool);
1427 
1428 typedef enum { MP_PTSCOTCH_DEFAULT,MP_PTSCOTCH_QUALITY,MP_PTSCOTCH_SPEED,MP_PTSCOTCH_BALANCE,MP_PTSCOTCH_SAFETY,MP_PTSCOTCH_SCALABILITY } MPPTScotchStrategyType;
1429 PETSC_EXTERN const char *const MPPTScotchStrategyTypes[];
1430 
1431 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetImbalance(MatPartitioning,PetscReal);
1432 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetImbalance(MatPartitioning,PetscReal*);
1433 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchSetStrategy(MatPartitioning,MPPTScotchStrategyType);
1434 PETSC_EXTERN PetscErrorCode MatPartitioningPTScotchGetStrategy(MatPartitioning,MPPTScotchStrategyType*);
1435 
1436 /*
1437  * hierarchical partitioning
1438  */
1439 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetFineparts(MatPartitioning,IS*);
1440 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalGetCoarseparts(MatPartitioning,IS*);
1441 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNcoarseparts(MatPartitioning,PetscInt);
1442 PETSC_EXTERN PetscErrorCode MatPartitioningHierarchicalSetNfineparts(MatPartitioning, PetscInt);
1443 
1444 PETSC_EXTERN PetscErrorCode MatMeshToVertexGraph(Mat,PetscInt,Mat*);
1445 PETSC_EXTERN PetscErrorCode MatMeshToCellGraph(Mat,PetscInt,Mat*);
1446 
1447 /*
1448     If you add entries here you must also add them to petsc/finclude/petscmat.h
1449 */
1450 typedef enum { MATOP_SET_VALUES=0,
1451                MATOP_GET_ROW=1,
1452                MATOP_RESTORE_ROW=2,
1453                MATOP_MULT=3,
1454                MATOP_MULT_ADD=4,
1455                MATOP_MULT_TRANSPOSE=5,
1456                MATOP_MULT_TRANSPOSE_ADD=6,
1457                MATOP_SOLVE=7,
1458                MATOP_SOLVE_ADD=8,
1459                MATOP_SOLVE_TRANSPOSE=9,
1460                MATOP_SOLVE_TRANSPOSE_ADD=10,
1461                MATOP_LUFACTOR=11,
1462                MATOP_CHOLESKYFACTOR=12,
1463                MATOP_SOR=13,
1464                MATOP_TRANSPOSE=14,
1465                MATOP_GETINFO=15,
1466                MATOP_EQUAL=16,
1467                MATOP_GET_DIAGONAL=17,
1468                MATOP_DIAGONAL_SCALE=18,
1469                MATOP_NORM=19,
1470                MATOP_ASSEMBLY_BEGIN=20,
1471                MATOP_ASSEMBLY_END=21,
1472                MATOP_SET_OPTION=22,
1473                MATOP_ZERO_ENTRIES=23,
1474                MATOP_ZERO_ROWS=24,
1475                MATOP_LUFACTOR_SYMBOLIC=25,
1476                MATOP_LUFACTOR_NUMERIC=26,
1477                MATOP_CHOLESKY_FACTOR_SYMBOLIC=27,
1478                MATOP_CHOLESKY_FACTOR_NUMERIC=28,
1479                MATOP_SETUP_PREALLOCATION=29,
1480                MATOP_ILUFACTOR_SYMBOLIC=30,
1481                MATOP_ICCFACTOR_SYMBOLIC=31,
1482                MATOP_GET_DIAGONAL_BLOCK=32,
1483                MATOP_FREE_INTER_STRUCT=33,
1484                MATOP_DUPLICATE=34,
1485                MATOP_FORWARD_SOLVE=35,
1486                MATOP_BACKWARD_SOLVE=36,
1487                MATOP_ILUFACTOR=37,
1488                MATOP_ICCFACTOR=38,
1489                MATOP_AXPY=39,
1490                MATOP_CREATE_SUBMATRICES=40,
1491                MATOP_INCREASE_OVERLAP=41,
1492                MATOP_GET_VALUES=42,
1493                MATOP_COPY=43,
1494                MATOP_GET_ROW_MAX=44,
1495                MATOP_SCALE=45,
1496                MATOP_SHIFT=46,
1497                MATOP_DIAGONAL_SET=47,
1498                MATOP_ZERO_ROWS_COLUMNS=48,
1499                MATOP_SET_RANDOM=49,
1500                MATOP_GET_ROW_IJ=50,
1501                MATOP_RESTORE_ROW_IJ=51,
1502                MATOP_GET_COLUMN_IJ=52,
1503                MATOP_RESTORE_COLUMN_IJ=53,
1504                MATOP_FDCOLORING_CREATE=54,
1505                MATOP_COLORING_PATCH=55,
1506                MATOP_SET_UNFACTORED=56,
1507                MATOP_PERMUTE=57,
1508                MATOP_SET_VALUES_BLOCKED=58,
1509                MATOP_CREATE_SUBMATRIX=59,
1510                MATOP_DESTROY=60,
1511                MATOP_VIEW=61,
1512                MATOP_CONVERT_FROM=62,
1513                MATOP_MATMAT_MULT=63,
1514                MATOP_MATMAT_MULT_SYMBOLIC=64,
1515                MATOP_MATMAT_MULT_NUMERIC=65,
1516                MATOP_SET_LOCAL_TO_GLOBAL_MAP=66,
1517                MATOP_SET_VALUES_LOCAL=67,
1518                MATOP_ZERO_ROWS_LOCAL=68,
1519                MATOP_GET_ROW_MAX_ABS=69,
1520                MATOP_GET_ROW_MIN_ABS=70,
1521                MATOP_CONVERT=71,
1522                MATOP_SET_COLORING=72,
1523                /* MATOP_PLACEHOLDER_73=73, */
1524                MATOP_SET_VALUES_ADIFOR=74,
1525                MATOP_FD_COLORING_APPLY=75,
1526                MATOP_SET_FROM_OPTIONS=76,
1527                MATOP_MULT_CONSTRAINED=77,
1528                MATOP_MULT_TRANSPOSE_CONSTRAIN=78,
1529                MATOP_FIND_ZERO_DIAGONALS=79,
1530                MATOP_MULT_MULTIPLE=80,
1531                MATOP_SOLVE_MULTIPLE=81,
1532                MATOP_GET_INERTIA=82,
1533                MATOP_LOAD=83,
1534                MATOP_IS_SYMMETRIC=84,
1535                MATOP_IS_HERMITIAN=85,
1536                MATOP_IS_STRUCTURALLY_SYMMETRIC=86,
1537                MATOP_SET_VALUES_BLOCKEDLOCAL=87,
1538                MATOP_CREATE_VECS=88,
1539                MATOP_MAT_MULT=89,
1540                MATOP_MAT_MULT_SYMBOLIC=90,
1541                MATOP_MAT_MULT_NUMERIC=91,
1542                MATOP_PTAP=92,
1543                MATOP_PTAP_SYMBOLIC=93,
1544                MATOP_PTAP_NUMERIC=94,
1545                MATOP_MAT_TRANSPOSE_MULT=95,
1546                MATOP_MAT_TRANSPOSE_MULT_SYMBO=96,
1547                MATOP_MAT_TRANSPOSE_MULT_NUMER=97,
1548                /* MATOP_PLACEHOLDER_98=98, */
1549                /* MATOP_PLACEHOLDER_99=99, */
1550                /* MATOP_PLACEHOLDER_100=100, */
1551                /* MATOP_PLACEHOLDER_101=101, */
1552                MATOP_CONJUGATE=102,
1553                /* MATOP_PLACEHOLDER_103=103, */
1554                MATOP_SET_VALUES_ROW=104,
1555                MATOP_REAL_PART=105,
1556                MATOP_IMAGINARY_PART=106,
1557                MATOP_GET_ROW_UPPER_TRIANGULAR=107,
1558                MATOP_RESTORE_ROW_UPPER_TRIANG=108,
1559                MATOP_MAT_SOLVE=109,
1560                MATOP_MAT_SOLVE_TRANSPOSE=110,
1561                MATOP_GET_ROW_MIN=111,
1562                MATOP_GET_COLUMN_VECTOR=112,
1563                MATOP_MISSING_DIAGONAL=113,
1564                MATOP_GET_SEQ_NONZERO_STRUCTUR=114,
1565                MATOP_CREATE=115,
1566                MATOP_GET_GHOSTS=116,
1567                MATOP_GET_LOCAL_SUB_MATRIX=117,
1568                MATOP_RESTORE_LOCALSUB_MATRIX=118,
1569                MATOP_MULT_DIAGONAL_BLOCK=119,
1570                MATOP_HERMITIAN_TRANSPOSE=120,
1571                MATOP_MULT_HERMITIAN_TRANSPOSE=121,
1572                MATOP_MULT_HERMITIAN_TRANS_ADD=122,
1573                MATOP_GET_MULTI_PROC_BLOCK=123,
1574                MATOP_FIND_NONZERO_ROWS=124,
1575                MATOP_GET_COLUMN_NORMS=125,
1576                MATOP_INVERT_BLOCK_DIAGONAL=126,
1577                /* MATOP_PLACEHOLDER_127=127, */
1578                MATOP_CREATE_SUB_MATRICES_MPI=128,
1579                MATOP_SET_VALUES_BATCH=129,
1580                MATOP_TRANSPOSE_MAT_MULT=130,
1581                MATOP_TRANSPOSE_MAT_MULT_SYMBO=131,
1582                MATOP_TRANSPOSE_MAT_MULT_NUMER=132,
1583                MATOP_TRANSPOSE_COLORING_CREAT=133,
1584                MATOP_TRANS_COLORING_APPLY_SPT=134,
1585                MATOP_TRANS_COLORING_APPLY_DEN=135,
1586                MATOP_RART=136,
1587                MATOP_RART_SYMBOLIC=137,
1588                MATOP_RART_NUMERIC=138,
1589                MATOP_SET_BLOCK_SIZES=139,
1590                MATOP_AYPX=140,
1591                MATOP_RESIDUAL=141,
1592                MATOP_FDCOLORING_SETUP=142,
1593                MATOP_MPICONCATENATESEQ=144,
1594                MATOP_DESTROYSUBMATRICES=145
1595              } MatOperation;
1596 PETSC_EXTERN PetscErrorCode MatSetOperation(Mat,MatOperation,void(*)(void));
1597 PETSC_EXTERN PetscErrorCode MatGetOperation(Mat,MatOperation,void(**)(void));
1598 PETSC_EXTERN PetscErrorCode MatHasOperation(Mat,MatOperation,PetscBool *);
1599 PETSC_EXTERN PetscErrorCode MatHasCongruentLayouts(Mat,PetscBool *);
1600 PETSC_EXTERN PetscErrorCode MatFreeIntermediateDataStructures(Mat);
1601 
1602 PETSC_EXTERN PetscErrorCode MatShellSetOperation(Mat,MatOperation,void(*)(void));
1603 PETSC_EXTERN PetscErrorCode MatShellGetOperation(Mat,MatOperation,void(**)(void));
1604 PETSC_EXTERN PetscErrorCode MatShellSetContext(Mat,void*);
1605 PETSC_EXTERN PetscErrorCode MatShellTestMult(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1606 PETSC_EXTERN PetscErrorCode MatShellTestMultTranspose(Mat,PetscErrorCode (*)(void*,Vec,Vec),Vec,void*,PetscBool*);
1607 PETSC_EXTERN PetscErrorCode MatShellSetManageScalingShifts(Mat);
1608 
1609 /*
1610    Codes for matrices stored on disk. By default they are
1611    stored in a universal format. By changing the format with
1612    PetscViewerPushFormat(viewer,PETSC_VIEWER_NATIVE); the matrices will
1613    be stored in a way natural for the matrix, for example dense matrices
1614    would be stored as dense. Matrices stored this way may only be
1615    read into matrices of the same type.
1616 */
1617 #define MATRIX_BINARY_FORMAT_DENSE -1
1618 
1619 PETSC_EXTERN PetscErrorCode MatMPIBAIJSetHashTableFactor(Mat,PetscReal);
1620 
1621 PETSC_EXTERN PetscErrorCode MatISSetLocalMatType(Mat,MatType);
1622 PETSC_EXTERN PetscErrorCode MatISSetPreallocation(Mat,PetscInt,const PetscInt[],PetscInt,const PetscInt[]);
1623 PETSC_EXTERN PetscErrorCode MatISStoreL2L(Mat,PetscBool);
1624 PETSC_EXTERN PetscErrorCode MatISFixLocalEmpty(Mat,PetscBool);
1625 PETSC_EXTERN PetscErrorCode MatISGetLocalMat(Mat,Mat*);
1626 PETSC_EXTERN PetscErrorCode MatISRestoreLocalMat(Mat,Mat*);
1627 PETSC_EXTERN PetscErrorCode MatISSetLocalMat(Mat,Mat);
1628 PETSC_EXTERN PETSC_DEPRECATED_FUNCTION("Use the MatConvert() interface (since version 3.10)") PetscErrorCode MatISGetMPIXAIJ(Mat,MatReuse,Mat*);
1629 
1630 /*S
1631      MatNullSpace - Object that removes a null space from a vector, i.e.
1632          orthogonalizes the vector to a subsapce
1633 
1634    Level: advanced
1635 
1636   Concepts: matrix; linear operator, null space
1637 
1638   Users manual sections:
1639 .   sec_singular
1640 
1641 .seealso:  MatNullSpaceCreate()
1642 S*/
1643 typedef struct _p_MatNullSpace* MatNullSpace;
1644 
1645 PETSC_EXTERN PetscErrorCode MatNullSpaceCreate(MPI_Comm,PetscBool ,PetscInt,const Vec[],MatNullSpace*);
1646 PETSC_EXTERN PetscErrorCode MatNullSpaceSetFunction(MatNullSpace,PetscErrorCode (*)(MatNullSpace,Vec,void*),void*);
1647 PETSC_EXTERN PetscErrorCode MatNullSpaceDestroy(MatNullSpace*);
1648 PETSC_EXTERN PetscErrorCode MatNullSpaceRemove(MatNullSpace,Vec);
1649 PETSC_EXTERN PetscErrorCode MatGetNullSpace(Mat, MatNullSpace *);
1650 PETSC_EXTERN PetscErrorCode MatGetTransposeNullSpace(Mat, MatNullSpace *);
1651 PETSC_EXTERN PetscErrorCode MatSetTransposeNullSpace(Mat,MatNullSpace);
1652 PETSC_EXTERN PetscErrorCode MatSetNullSpace(Mat,MatNullSpace);
1653 PETSC_EXTERN PetscErrorCode MatSetNearNullSpace(Mat,MatNullSpace);
1654 PETSC_EXTERN PetscErrorCode MatGetNearNullSpace(Mat,MatNullSpace*);
1655 PETSC_EXTERN PetscErrorCode MatNullSpaceTest(MatNullSpace,Mat,PetscBool  *);
1656 PETSC_EXTERN PetscErrorCode MatNullSpaceView(MatNullSpace,PetscViewer);
1657 PETSC_EXTERN PetscErrorCode MatNullSpaceGetVecs(MatNullSpace,PetscBool*,PetscInt*,const Vec**);
1658 PETSC_EXTERN PetscErrorCode MatNullSpaceCreateRigidBody(Vec,MatNullSpace*);
1659 
1660 PETSC_EXTERN PetscErrorCode MatReorderingSeqSBAIJ(Mat,IS);
1661 PETSC_EXTERN PetscErrorCode MatMPISBAIJSetHashTableFactor(Mat,PetscReal);
1662 PETSC_EXTERN PetscErrorCode MatSeqSBAIJSetColumnIndices(Mat,PetscInt *);
1663 PETSC_EXTERN PetscErrorCode MatSeqBAIJInvertBlockDiagonal(Mat);
1664 
1665 PETSC_EXTERN PetscErrorCode MatCreateMAIJ(Mat,PetscInt,Mat*);
1666 PETSC_EXTERN PetscErrorCode MatMAIJRedimension(Mat,PetscInt,Mat*);
1667 PETSC_EXTERN PetscErrorCode MatMAIJGetAIJ(Mat,Mat*);
1668 
1669 PETSC_EXTERN PetscErrorCode MatComputeOperator(Mat,MatType,Mat*);
1670 PETSC_EXTERN PetscErrorCode MatComputeOperatorTranspose(Mat,MatType,Mat*);
1671 
1672 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperator() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperator(Mat A,Mat* B) { return MatComputeOperator(A,NULL,B); }
1673 PETSC_DEPRECATED_FUNCTION("Use MatComputeOperatorTranspose() (since version 3.12)") PETSC_STATIC_INLINE PetscErrorCode MatComputeExplicitOperatorTranspose(Mat A,Mat* B) { return MatComputeOperatorTranspose(A,NULL,B); }
1674 
1675 PETSC_EXTERN PetscErrorCode MatDiagonalScaleLocal(Mat,Vec);
1676 
1677 PETSC_EXTERN PetscErrorCode MatCreateMFFD(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,Mat*);
1678 PETSC_EXTERN PetscErrorCode MatMFFDSetBase(Mat,Vec,Vec);
1679 PETSC_EXTERN PetscErrorCode MatMFFDSetFunction(Mat,PetscErrorCode(*)(void*,Vec,Vec),void*);
1680 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioni(Mat,PetscErrorCode (*)(void*,PetscInt,Vec,PetscScalar*));
1681 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctioniBase(Mat,PetscErrorCode (*)(void*,Vec));
1682 PETSC_EXTERN PetscErrorCode MatMFFDSetHHistory(Mat,PetscScalar[],PetscInt);
1683 PETSC_EXTERN PetscErrorCode MatMFFDResetHHistory(Mat);
1684 PETSC_EXTERN PetscErrorCode MatMFFDSetFunctionError(Mat,PetscReal);
1685 PETSC_EXTERN PetscErrorCode MatMFFDSetPeriod(Mat,PetscInt);
1686 PETSC_EXTERN PetscErrorCode MatMFFDGetH(Mat,PetscScalar *);
1687 PETSC_EXTERN PetscErrorCode MatMFFDSetOptionsPrefix(Mat,const char[]);
1688 PETSC_EXTERN PetscErrorCode MatMFFDCheckPositivity(void*,Vec,Vec,PetscScalar*);
1689 PETSC_EXTERN PetscErrorCode MatMFFDSetCheckh(Mat,PetscErrorCode (*)(void*,Vec,Vec,PetscScalar*),void*);
1690 
1691 /*S
1692     MatMFFD - A data structured used to manage the computation of the h differencing parameter for matrix-free
1693               Jacobian vector products
1694 
1695     Notes:
1696     MATMFFD is a specific MatType which uses the MatMFFD data structure
1697 
1698            MatMFFD*() methods actually take the Mat as their first argument. Not a MatMFFD data structure
1699 
1700     Level: developer
1701 
1702 .seealso: MATMFFD, MatCreateMFFD(), MatMFFDSetFuction(), MatMFFDSetType(), MatMFFDRegister()
1703 S*/
1704 typedef struct _p_MatMFFD* MatMFFD;
1705 
1706 /*J
1707     MatMFFDType - algorithm used to compute the h used in computing matrix-vector products via differencing of the function
1708 
1709    Level: beginner
1710 
1711 .seealso: MatMFFDSetType(), MatMFFDRegister()
1712 J*/
1713 typedef const char* MatMFFDType;
1714 #define MATMFFD_DS  "ds"
1715 #define MATMFFD_WP  "wp"
1716 
1717 PETSC_EXTERN PetscErrorCode MatMFFDSetType(Mat,MatMFFDType);
1718 PETSC_EXTERN PetscErrorCode MatMFFDRegister(const char[],PetscErrorCode (*)(MatMFFD));
1719 
1720 PETSC_EXTERN PetscErrorCode MatMFFDDSSetUmin(Mat,PetscReal);
1721 PETSC_EXTERN PetscErrorCode MatMFFDWPSetComputeNormU(Mat,PetscBool );
1722 
1723 PETSC_EXTERN PetscErrorCode MatFDColoringSetType(MatFDColoring,MatMFFDType);
1724 
1725 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutMatrix(PetscViewer, PetscInt, PetscInt, PetscReal *);
1726 PETSC_EXTERN PetscErrorCode PetscViewerMathematicaPutCSRMatrix(PetscViewer, PetscInt, PetscInt, PetscInt *, PetscInt *, PetscReal *);
1727 
1728 /*
1729    PETSc interface to MUMPS
1730 */
1731 #ifdef PETSC_HAVE_MUMPS
1732 PETSC_EXTERN PetscErrorCode MatMumpsSetIcntl(Mat,PetscInt,PetscInt);
1733 PETSC_EXTERN PetscErrorCode MatMumpsGetIcntl(Mat,PetscInt,PetscInt*);
1734 PETSC_EXTERN PetscErrorCode MatMumpsSetCntl(Mat,PetscInt,PetscReal);
1735 PETSC_EXTERN PetscErrorCode MatMumpsGetCntl(Mat,PetscInt,PetscReal*);
1736 
1737 PETSC_EXTERN PetscErrorCode MatMumpsGetInfo(Mat,PetscInt,PetscInt*);
1738 PETSC_EXTERN PetscErrorCode MatMumpsGetInfog(Mat,PetscInt,PetscInt*);
1739 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfo(Mat,PetscInt,PetscReal*);
1740 PETSC_EXTERN PetscErrorCode MatMumpsGetRinfog(Mat,PetscInt,PetscReal*);
1741 PETSC_EXTERN PetscErrorCode MatMumpsGetInverse(Mat,Mat);
1742 PETSC_EXTERN PetscErrorCode MatMumpsGetInverseTranspose(Mat,Mat);
1743 #endif
1744 
1745 /*
1746    PETSc interface to Mkl_Pardiso
1747 */
1748 #ifdef PETSC_HAVE_MKL_PARDISO
1749 PETSC_EXTERN PetscErrorCode MatMkl_PardisoSetCntl(Mat,PetscInt,PetscInt);
1750 #endif
1751 
1752 /*
1753    PETSc interface to Mkl_CPardiso
1754 */
1755 #ifdef PETSC_HAVE_MKL_CPARDISO
1756 PETSC_EXTERN PetscErrorCode MatMkl_CPardisoSetCntl(Mat,PetscInt,PetscInt);
1757 #endif
1758 
1759 /*
1760    PETSc interface to SUPERLU
1761 */
1762 #ifdef PETSC_HAVE_SUPERLU
1763 PETSC_EXTERN PetscErrorCode MatSuperluSetILUDropTol(Mat,PetscReal);
1764 #endif
1765 
1766 /*
1767    PETSc interface to SUPERLU_DIST
1768 */
1769 #ifdef PETSC_HAVE_SUPERLU_DIST
1770 PETSC_EXTERN PetscErrorCode MatSuperluDistGetDiagU(Mat,PetscScalar*);
1771 #endif
1772 
1773 /*
1774    PETSc interface to STRUMPACK
1775 */
1776 #ifdef PETSC_HAVE_STRUMPACK
1777 /*E
1778     MatSTRUMPACKReordering - sparsity reducing ordering to be used in STRUMPACK
1779 
1780     Level: intermediate
1781 E*/
1782 typedef enum {MAT_STRUMPACK_NATURAL=0,
1783               MAT_STRUMPACK_METIS=1,
1784               MAT_STRUMPACK_PARMETIS=2,
1785               MAT_STRUMPACK_SCOTCH=3,
1786               MAT_STRUMPACK_PTSCOTCH=4,
1787               MAT_STRUMPACK_RCM=5} MatSTRUMPACKReordering;
1788 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetReordering(Mat,MatSTRUMPACKReordering);
1789 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetColPerm(Mat,PetscBool);
1790 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSRelTol(Mat,PetscReal);
1791 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSRelTol() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSRelCompTol(Mat mat,PetscReal rtol) {return MatSTRUMPACKSetHSSRelTol(mat,rtol);}
1792 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSAbsTol(Mat,PetscReal);
1793 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMinSepSize(Mat,PetscInt);
1794 PETSC_DEPRECATED_FUNCTION("Use MatSTRUMPACKSetHSSMinSepSize() (since version 3.9)") PETSC_STATIC_INLINE PetscErrorCode MatSTRUMPACKSetHSSMinSize(Mat mat,PetscInt hssminsize) {return MatSTRUMPACKSetHSSMinSepSize(mat,hssminsize);}
1795 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSMaxRank(Mat,PetscInt);
1796 PETSC_EXTERN PetscErrorCode MatSTRUMPACKSetHSSLeafSize(Mat,PetscInt);
1797 #endif
1798 
1799 
1800 PETSC_EXTERN PetscErrorCode MatPinToCPU(Mat,PetscBool);
1801 
1802 #ifdef PETSC_HAVE_CUDA
1803 /*E
1804     MatCUSPARSEStorageFormat - indicates the storage format for CUSPARSE (GPU)
1805     matrices.
1806 
1807     Not Collective
1808 
1809 +   MAT_CUSPARSE_CSR - Compressed Sparse Row
1810 .   MAT_CUSPARSE_ELL - Ellpack (requires CUDA 4.2 or later).
1811 -   MAT_CUSPARSE_HYB - Hybrid, a combination of Ellpack and Coordinate format (requires CUDA 4.2 or later).
1812 
1813     Level: intermediate
1814 
1815    Any additions/changes here MUST also be made in include/petsc/finclude/petscmat.h
1816 
1817 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEFormatOperation
1818 E*/
1819 
1820 typedef enum {MAT_CUSPARSE_CSR, MAT_CUSPARSE_ELL, MAT_CUSPARSE_HYB} MatCUSPARSEStorageFormat;
1821 
1822 /* these will be strings associated with enumerated type defined above */
1823 PETSC_EXTERN const char *const MatCUSPARSEStorageFormats[];
1824 
1825 /*E
1826     MatCUSPARSEFormatOperation - indicates the operation of CUSPARSE (GPU)
1827     matrices whose operation should use a particular storage format.
1828 
1829     Not Collective
1830 
1831 +   MAT_CUSPARSE_MULT_DIAG - sets the storage format for the diagonal matrix in the parallel MatMult
1832 .   MAT_CUSPARSE_MULT_OFFDIAG - sets the storage format for the offdiagonal matrix in the parallel MatMult
1833 .   MAT_CUSPARSE_MULT - sets the storage format for the entire matrix in the serial (single GPU) MatMult
1834 -   MAT_CUSPARSE_ALL - sets the storage format for all CUSPARSE (GPU) matrices
1835 
1836     Level: intermediate
1837 
1838 .seealso: MatCUSPARSESetFormat(), MatCUSPARSEStorageFormat
1839 E*/
1840 typedef enum {MAT_CUSPARSE_MULT_DIAG, MAT_CUSPARSE_MULT_OFFDIAG, MAT_CUSPARSE_MULT, MAT_CUSPARSE_ALL} MatCUSPARSEFormatOperation;
1841 
1842 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1843 PETSC_EXTERN PetscErrorCode MatCreateAIJCUSPARSE(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1844 PETSC_EXTERN PetscErrorCode MatCUSPARSESetFormat(Mat,MatCUSPARSEFormatOperation,MatCUSPARSEStorageFormat);
1845 #endif
1846 
1847 #if defined(PETSC_HAVE_VIENNACL)
1848 PETSC_EXTERN PetscErrorCode MatCreateSeqAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,const PetscInt[],Mat*);
1849 PETSC_EXTERN PetscErrorCode MatCreateAIJViennaCL(MPI_Comm,PetscInt,PetscInt,PetscInt,PetscInt,PetscInt,const PetscInt[],PetscInt,const PetscInt[],Mat*);
1850 #endif
1851 
1852 /*
1853    PETSc interface to FFTW
1854 */
1855 #if defined(PETSC_HAVE_FFTW)
1856 PETSC_EXTERN PetscErrorCode VecScatterPetscToFFTW(Mat,Vec,Vec);
1857 PETSC_EXTERN PetscErrorCode VecScatterFFTWToPetsc(Mat,Vec,Vec);
1858 PETSC_EXTERN PetscErrorCode MatCreateVecsFFTW(Mat,Vec*,Vec*,Vec*);
1859 #endif
1860 
1861 PETSC_EXTERN PetscErrorCode MatCreateNest(MPI_Comm,PetscInt,const IS[],PetscInt,const IS[],const Mat[],Mat*);
1862 PETSC_EXTERN PetscErrorCode MatNestGetSize(Mat,PetscInt*,PetscInt*);
1863 PETSC_EXTERN PetscErrorCode MatNestGetISs(Mat,IS[],IS[]);
1864 PETSC_EXTERN PetscErrorCode MatNestGetLocalISs(Mat,IS[],IS[]);
1865 PETSC_EXTERN PetscErrorCode MatNestGetSubMats(Mat,PetscInt*,PetscInt*,Mat***);
1866 PETSC_EXTERN PetscErrorCode MatNestGetSubMat(Mat,PetscInt,PetscInt,Mat*);
1867 PETSC_EXTERN PetscErrorCode MatNestSetVecType(Mat,VecType);
1868 PETSC_EXTERN PetscErrorCode MatNestSetSubMats(Mat,PetscInt,const IS[],PetscInt,const IS[],const Mat[]);
1869 PETSC_EXTERN PetscErrorCode MatNestSetSubMat(Mat,PetscInt,PetscInt,Mat);
1870 
1871 PETSC_EXTERN PetscErrorCode MatChop(Mat,PetscReal);
1872 PETSC_EXTERN PetscErrorCode MatComputeBandwidth(Mat,PetscReal,PetscInt*);
1873 
1874 PETSC_EXTERN PetscErrorCode MatSubdomainsCreateCoalesce(Mat,PetscInt,PetscInt*,IS**);
1875 
1876 PETSC_EXTERN PetscErrorCode MatPreallocatorPreallocate(Mat,PetscBool,Mat);
1877 
1878 PETSC_INTERN PetscErrorCode MatHeaderMerge(Mat,Mat*);
1879 PETSC_EXTERN PetscErrorCode MatHeaderReplace(Mat,Mat*);
1880 
1881 #endif
1882