Actual source code: slepcsvd.h

slepc-3.20.2 2024-03-15
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

  6:    This file is part of SLEPc.
  7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
  8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  9: */
 10: /*
 11:    User interface for SLEPc's singular value solvers
 12: */

 14: #pragma once

 16: #include <slepceps.h>
 17: #include <slepcbv.h>
 18: #include <slepcds.h>

 20: /* SUBMANSEC = SVD */

 22: SLEPC_EXTERN PetscErrorCode SVDInitializePackage(void);
 23: SLEPC_EXTERN PetscErrorCode SVDFinalizePackage(void);

 25: /*S
 26:      SVD - Abstract SLEPc object that manages all the singular value
 27:      problem solvers.

 29:    Level: beginner

 31: .seealso:  SVDCreate()
 32: S*/
 33: typedef struct _p_SVD* SVD;

 35: /*J
 36:     SVDType - String with the name of a SLEPc singular value solver

 38:    Level: beginner

 40: .seealso: SVDSetType(), SVD
 41: J*/
 42: typedef const char* SVDType;
 43: #define SVDCROSS       "cross"
 44: #define SVDCYCLIC      "cyclic"
 45: #define SVDLAPACK      "lapack"
 46: #define SVDLANCZOS     "lanczos"
 47: #define SVDTRLANCZOS   "trlanczos"
 48: #define SVDRANDOMIZED  "randomized"
 49: #define SVDSCALAPACK   "scalapack"
 50: #define SVDKSVD        "ksvd"
 51: #define SVDELEMENTAL   "elemental"
 52: #define SVDPRIMME      "primme"

 54: /* Logging support */
 55: SLEPC_EXTERN PetscClassId SVD_CLASSID;

 57: /*E
 58:     SVDProblemType - Determines the type of singular value problem

 60:     Level: beginner

 62: .seealso: SVDSetProblemType(), SVDGetProblemType()
 63: E*/
 64: typedef enum { SVD_STANDARD=1,
 65:                SVD_GENERALIZED,   /* GSVD */
 66:                SVD_HYPERBOLIC     /* HSVD */
 67:              } SVDProblemType;

 69: /*E
 70:     SVDWhich - Determines whether largest or smallest singular triplets
 71:     are to be computed

 73:     Level: intermediate

 75: .seealso: SVDSetWhichSingularTriplets(), SVDGetWhichSingularTriplets()
 76: E*/
 77: typedef enum { SVD_LARGEST,
 78:                SVD_SMALLEST } SVDWhich;

 80: /*E
 81:     SVDErrorType - The error type used to assess accuracy of computed solutions

 83:     Level: intermediate

 85: .seealso: SVDComputeError()
 86: E*/
 87: typedef enum { SVD_ERROR_ABSOLUTE,
 88:                SVD_ERROR_RELATIVE,
 89:                SVD_ERROR_NORM } SVDErrorType;
 90: SLEPC_EXTERN const char *SVDErrorTypes[];

 92: /*E
 93:     SVDConv - Determines the convergence test

 95:     Level: intermediate

 97: .seealso: SVDSetConvergenceTest(), SVDSetConvergenceTestFunction()
 98: E*/
 99: typedef enum { SVD_CONV_ABS,
100:                SVD_CONV_REL,
101:                SVD_CONV_NORM,
102:                SVD_CONV_MAXIT,
103:                SVD_CONV_USER } SVDConv;

105: /*E
106:     SVDStop - Determines the stopping test

108:     Level: advanced

110: .seealso: SVDSetStoppingTest(), SVDSetStoppingTestFunction()
111: E*/
112: typedef enum { SVD_STOP_BASIC,
113:                SVD_STOP_USER } SVDStop;

115: /*E
116:     SVDConvergedReason - Reason a singular value solver was said to
117:          have converged or diverged

119:    Level: intermediate

121: .seealso: SVDSolve(), SVDGetConvergedReason(), SVDSetTolerances()
122: E*/
123: typedef enum {/* converged */
124:               SVD_CONVERGED_TOL                =  1,
125:               SVD_CONVERGED_USER               =  2,
126:               SVD_CONVERGED_MAXIT              =  3,
127:               /* diverged */
128:               SVD_DIVERGED_ITS                 = -1,
129:               SVD_DIVERGED_BREAKDOWN           = -2,
130:               SVD_DIVERGED_SYMMETRY_LOST       = -3,
131:               SVD_CONVERGED_ITERATING          =  0 } SVDConvergedReason;
132: SLEPC_EXTERN const char *const*SVDConvergedReasons;

134: SLEPC_EXTERN PetscErrorCode SVDCreate(MPI_Comm,SVD*);
135: SLEPC_EXTERN PetscErrorCode SVDSetBV(SVD,BV,BV);
136: SLEPC_EXTERN PetscErrorCode SVDGetBV(SVD,BV*,BV*);
137: SLEPC_EXTERN PetscErrorCode SVDSetDS(SVD,DS);
138: SLEPC_EXTERN PetscErrorCode SVDGetDS(SVD,DS*);
139: SLEPC_EXTERN PetscErrorCode SVDSetType(SVD,SVDType);
140: SLEPC_EXTERN PetscErrorCode SVDGetType(SVD,SVDType*);
141: SLEPC_EXTERN PetscErrorCode SVDSetProblemType(SVD,SVDProblemType);
142: SLEPC_EXTERN PetscErrorCode SVDGetProblemType(SVD,SVDProblemType*);
143: SLEPC_EXTERN PetscErrorCode SVDIsGeneralized(SVD,PetscBool*);
144: SLEPC_EXTERN PetscErrorCode SVDIsHyperbolic(SVD,PetscBool*);
145: SLEPC_EXTERN PetscErrorCode SVDSetOperators(SVD,Mat,Mat);
146: PETSC_DEPRECATED_FUNCTION(3, 15, 0, "SVDSetOperators()", ) static inline PetscErrorCode SVDSetOperator(SVD svd,Mat A) {return SVDSetOperators(svd,A,PETSC_NULLPTR);}
147: SLEPC_EXTERN PetscErrorCode SVDGetOperators(SVD,Mat*,Mat*);
148: PETSC_DEPRECATED_FUNCTION(3, 15, 0, "SVDGetOperators()", ) static inline PetscErrorCode SVDGetOperator(SVD svd,Mat *A) {return SVDGetOperators(svd,A,PETSC_NULLPTR);}
149: SLEPC_EXTERN PetscErrorCode SVDSetSignature(SVD,Vec);
150: SLEPC_EXTERN PetscErrorCode SVDGetSignature(SVD,Vec*);
151: SLEPC_EXTERN PetscErrorCode SVDSetInitialSpaces(SVD,PetscInt,Vec[],PetscInt,Vec[]);
152: PETSC_DEPRECATED_FUNCTION(3, 1, 0, "SVDSetInitialSpaces()", ) static inline PetscErrorCode SVDSetInitialSpace(SVD svd,PetscInt nr,Vec *isr) {return SVDSetInitialSpaces(svd,nr,isr,0,PETSC_NULLPTR);}
153: PETSC_DEPRECATED_FUNCTION(3, 1, 0, "SVDSetInitialSpaces()", ) static inline PetscErrorCode SVDSetInitialSpaceLeft(SVD svd,PetscInt nl,Vec *isl) {return SVDSetInitialSpaces(svd,0,PETSC_NULLPTR,nl,isl);}
154: SLEPC_EXTERN PetscErrorCode SVDSetImplicitTranspose(SVD,PetscBool);
155: SLEPC_EXTERN PetscErrorCode SVDGetImplicitTranspose(SVD,PetscBool*);
156: SLEPC_EXTERN PetscErrorCode SVDSetDimensions(SVD,PetscInt,PetscInt,PetscInt);
157: SLEPC_EXTERN PetscErrorCode SVDGetDimensions(SVD,PetscInt*,PetscInt*,PetscInt*);
158: SLEPC_EXTERN PetscErrorCode SVDSetTolerances(SVD,PetscReal,PetscInt);
159: SLEPC_EXTERN PetscErrorCode SVDGetTolerances(SVD,PetscReal*,PetscInt*);
160: SLEPC_EXTERN PetscErrorCode SVDSetWhichSingularTriplets(SVD,SVDWhich);
161: SLEPC_EXTERN PetscErrorCode SVDGetWhichSingularTriplets(SVD,SVDWhich*);
162: SLEPC_EXTERN PetscErrorCode SVDSetFromOptions(SVD);
163: SLEPC_EXTERN PetscErrorCode SVDSetOptionsPrefix(SVD,const char*);
164: SLEPC_EXTERN PetscErrorCode SVDAppendOptionsPrefix(SVD,const char*);
165: SLEPC_EXTERN PetscErrorCode SVDGetOptionsPrefix(SVD,const char*[]);
166: SLEPC_EXTERN PetscErrorCode SVDSetDSType(SVD);
167: SLEPC_EXTERN PetscErrorCode SVDSetUp(SVD);
168: SLEPC_EXTERN PetscErrorCode SVDSolve(SVD);
169: SLEPC_EXTERN PetscErrorCode SVDGetIterationNumber(SVD,PetscInt*);
170: SLEPC_EXTERN PetscErrorCode SVDSetConvergenceTestFunction(SVD,PetscErrorCode (*)(SVD,PetscReal,PetscReal,PetscReal*,void*),void*,PetscErrorCode (*)(void*));
171: SLEPC_EXTERN PetscErrorCode SVDSetConvergenceTest(SVD,SVDConv);
172: SLEPC_EXTERN PetscErrorCode SVDGetConvergenceTest(SVD,SVDConv*);
173: SLEPC_EXTERN PetscErrorCode SVDConvergedAbsolute(SVD,PetscReal,PetscReal,PetscReal*,void*);
174: SLEPC_EXTERN PetscErrorCode SVDConvergedRelative(SVD,PetscReal,PetscReal,PetscReal*,void*);
175: SLEPC_EXTERN PetscErrorCode SVDConvergedNorm(SVD,PetscReal,PetscReal,PetscReal*,void*);
176: SLEPC_EXTERN PetscErrorCode SVDConvergedMaxIt(SVD,PetscReal,PetscReal,PetscReal*,void*);
177: SLEPC_EXTERN PetscErrorCode SVDSetStoppingTestFunction(SVD,PetscErrorCode (*)(SVD,PetscInt,PetscInt,PetscInt,PetscInt,SVDConvergedReason*,void*),void*,PetscErrorCode (*)(void*));
178: SLEPC_EXTERN PetscErrorCode SVDSetStoppingTest(SVD,SVDStop);
179: SLEPC_EXTERN PetscErrorCode SVDGetStoppingTest(SVD,SVDStop*);
180: SLEPC_EXTERN PetscErrorCode SVDStoppingBasic(SVD,PetscInt,PetscInt,PetscInt,PetscInt,SVDConvergedReason*,void*);
181: SLEPC_EXTERN PetscErrorCode SVDGetConvergedReason(SVD,SVDConvergedReason*);
182: SLEPC_EXTERN PetscErrorCode SVDGetConverged(SVD,PetscInt*);
183: SLEPC_EXTERN PetscErrorCode SVDGetSingularTriplet(SVD,PetscInt,PetscReal*,Vec,Vec);
184: SLEPC_EXTERN PetscErrorCode SVDComputeError(SVD,PetscInt,SVDErrorType,PetscReal*);
185: PETSC_DEPRECATED_FUNCTION(3, 6, 0, "SVDComputeError()", ) static inline PetscErrorCode SVDComputeRelativeError(SVD svd,PetscInt i,PetscReal *r) {return SVDComputeError(svd,i,SVD_ERROR_RELATIVE,r);}
186: PETSC_DEPRECATED_FUNCTION(3, 6, 0, "SVDComputeError() with SVD_ERROR_ABSOLUTE", ) static inline PetscErrorCode SVDComputeResidualNorms(SVD svd,PetscInt i,PetscReal *r1,PETSC_UNUSED PetscReal *r2) {return SVDComputeError(svd,i,SVD_ERROR_ABSOLUTE,r1);}
187: SLEPC_EXTERN PetscErrorCode SVDView(SVD,PetscViewer);
188: SLEPC_EXTERN PetscErrorCode SVDViewFromOptions(SVD,PetscObject,const char[]);
189: SLEPC_EXTERN PetscErrorCode SVDErrorView(SVD,SVDErrorType,PetscViewer);
190: PETSC_DEPRECATED_FUNCTION(3, 6, 0, "SVDErrorView()", ) static inline PetscErrorCode SVDPrintSolution(SVD svd,PetscViewer v) {return SVDErrorView(svd,SVD_ERROR_RELATIVE,v);}
191: SLEPC_EXTERN PetscErrorCode SVDErrorViewFromOptions(SVD);
192: SLEPC_EXTERN PetscErrorCode SVDConvergedReasonView(SVD,PetscViewer);
193: SLEPC_EXTERN PetscErrorCode SVDConvergedReasonViewFromOptions(SVD);
194: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SVDConvergedReasonView()", ) static inline PetscErrorCode SVDReasonView(SVD svd,PetscViewer v) {return SVDConvergedReasonView(svd,v);}
195: PETSC_DEPRECATED_FUNCTION(3, 14, 0, "SVDConvergedReasonViewFromOptions()", ) static inline PetscErrorCode SVDReasonViewFromOptions(SVD svd) {return SVDConvergedReasonViewFromOptions(svd);}
196: SLEPC_EXTERN PetscErrorCode SVDValuesView(SVD,PetscViewer);
197: SLEPC_EXTERN PetscErrorCode SVDValuesViewFromOptions(SVD);
198: SLEPC_EXTERN PetscErrorCode SVDVectorsView(SVD,PetscViewer);
199: SLEPC_EXTERN PetscErrorCode SVDVectorsViewFromOptions(SVD);
200: SLEPC_EXTERN PetscErrorCode SVDDestroy(SVD*);
201: SLEPC_EXTERN PetscErrorCode SVDReset(SVD);
202: SLEPC_EXTERN PetscErrorCode SVDSetWorkVecs(SVD,PetscInt,PetscInt);
203: SLEPC_EXTERN PetscErrorCode SVDSetTrackAll(SVD,PetscBool);
204: SLEPC_EXTERN PetscErrorCode SVDGetTrackAll(SVD,PetscBool*);

206: SLEPC_EXTERN PetscErrorCode SVDMonitor(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt);
207: SLEPC_EXTERN PetscErrorCode SVDMonitorSet(SVD,PetscErrorCode (*)(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,void*),void*,PetscErrorCode (*)(void**));
208: SLEPC_EXTERN PetscErrorCode SVDMonitorCancel(SVD);
209: SLEPC_EXTERN PetscErrorCode SVDGetMonitorContext(SVD,void*);

211: SLEPC_EXTERN PetscErrorCode SVDMonitorSetFromOptions(SVD,const char[],const char[],void*,PetscBool);
212: SLEPC_EXTERN PetscErrorCode SVDMonitorLGCreate(MPI_Comm,const char[],const char[],const char[],PetscInt,const char*[],int,int,int,int,PetscDrawLG*);
213: SLEPC_EXTERN PetscErrorCode SVDMonitorFirst(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*);
214: SLEPC_EXTERN PetscErrorCode SVDMonitorFirstDrawLG(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*);
215: SLEPC_EXTERN PetscErrorCode SVDMonitorFirstDrawLGCreate(PetscViewer,PetscViewerFormat,void *,PetscViewerAndFormat**);
216: SLEPC_EXTERN PetscErrorCode SVDMonitorAll(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*);
217: SLEPC_EXTERN PetscErrorCode SVDMonitorAllDrawLG(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*);
218: SLEPC_EXTERN PetscErrorCode SVDMonitorAllDrawLGCreate(PetscViewer,PetscViewerFormat,void *,PetscViewerAndFormat**);
219: SLEPC_EXTERN PetscErrorCode SVDMonitorConverged(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*);
220: SLEPC_EXTERN PetscErrorCode SVDMonitorConvergedCreate(PetscViewer,PetscViewerFormat,void *,PetscViewerAndFormat**);
221: SLEPC_EXTERN PetscErrorCode SVDMonitorConvergedDrawLG(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*);
222: SLEPC_EXTERN PetscErrorCode SVDMonitorConvergedDrawLGCreate(PetscViewer,PetscViewerFormat,void *,PetscViewerAndFormat**);
223: SLEPC_EXTERN PetscErrorCode SVDMonitorConvergedDestroy(PetscViewerAndFormat**);
224: SLEPC_EXTERN PetscErrorCode SVDMonitorConditioning(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*);

226: SLEPC_EXTERN PetscFunctionList SVDList;
227: SLEPC_EXTERN PetscFunctionList SVDMonitorList;
228: SLEPC_EXTERN PetscFunctionList SVDMonitorCreateList;
229: SLEPC_EXTERN PetscFunctionList SVDMonitorDestroyList;
230: SLEPC_EXTERN PetscErrorCode SVDRegister(const char[],PetscErrorCode(*)(SVD));
231: SLEPC_EXTERN PetscErrorCode SVDMonitorRegister(const char[],PetscViewerType,PetscViewerFormat,PetscErrorCode(*)(SVD,PetscInt,PetscInt,PetscReal*,PetscReal*,PetscInt,PetscViewerAndFormat*),PetscErrorCode(*)(PetscViewer,PetscViewerFormat,void*,PetscViewerAndFormat**),PetscErrorCode(*)(PetscViewerAndFormat**));

233: SLEPC_EXTERN PetscErrorCode SVDAllocateSolution(SVD,PetscInt);

235: /* --------- options specific to particular solvers -------- */

237: SLEPC_EXTERN PetscErrorCode SVDCrossSetExplicitMatrix(SVD,PetscBool);
238: SLEPC_EXTERN PetscErrorCode SVDCrossGetExplicitMatrix(SVD,PetscBool*);
239: SLEPC_EXTERN PetscErrorCode SVDCrossSetEPS(SVD,EPS);
240: SLEPC_EXTERN PetscErrorCode SVDCrossGetEPS(SVD,EPS*);

242: SLEPC_EXTERN PetscErrorCode SVDCyclicSetExplicitMatrix(SVD,PetscBool);
243: SLEPC_EXTERN PetscErrorCode SVDCyclicGetExplicitMatrix(SVD,PetscBool*);
244: SLEPC_EXTERN PetscErrorCode SVDCyclicSetEPS(SVD,EPS);
245: SLEPC_EXTERN PetscErrorCode SVDCyclicGetEPS(SVD,EPS*);

247: SLEPC_EXTERN PetscErrorCode SVDLanczosSetOneSide(SVD,PetscBool);
248: SLEPC_EXTERN PetscErrorCode SVDLanczosGetOneSide(SVD,PetscBool*);

250: /*E
251:     SVDTRLanczosGBidiag - determines the bidiagonalization choice for the
252:     TRLanczos GSVD solver

254:     Level: advanced

256: .seealso: SVDTRLanczosSetGBidiag(), SVDTRLanczosGetGBidiag()
257: E*/
258: typedef enum {
259:   SVD_TRLANCZOS_GBIDIAG_SINGLE, /* single bidiagonalization (Qa) */
260:   SVD_TRLANCZOS_GBIDIAG_UPPER,  /* joint bidiagonalization, both Qa and Qb in upper bidiagonal form */
261:   SVD_TRLANCZOS_GBIDIAG_LOWER   /* joint bidiagonalization, Qa lower bidiagonal, Qb upper bidiagonal */
262: } SVDTRLanczosGBidiag;
263: SLEPC_EXTERN const char *SVDTRLanczosGBidiags[];

265: SLEPC_EXTERN PetscErrorCode SVDTRLanczosSetGBidiag(SVD,SVDTRLanczosGBidiag);
266: SLEPC_EXTERN PetscErrorCode SVDTRLanczosGetGBidiag(SVD,SVDTRLanczosGBidiag*);
267: SLEPC_EXTERN PetscErrorCode SVDTRLanczosSetOneSide(SVD,PetscBool);
268: SLEPC_EXTERN PetscErrorCode SVDTRLanczosGetOneSide(SVD,PetscBool*);
269: SLEPC_EXTERN PetscErrorCode SVDTRLanczosSetKSP(SVD,KSP);
270: SLEPC_EXTERN PetscErrorCode SVDTRLanczosGetKSP(SVD,KSP*);
271: SLEPC_EXTERN PetscErrorCode SVDTRLanczosSetRestart(SVD,PetscReal);
272: SLEPC_EXTERN PetscErrorCode SVDTRLanczosGetRestart(SVD,PetscReal*);
273: SLEPC_EXTERN PetscErrorCode SVDTRLanczosSetLocking(SVD,PetscBool);
274: SLEPC_EXTERN PetscErrorCode SVDTRLanczosGetLocking(SVD,PetscBool*);
275: SLEPC_EXTERN PetscErrorCode SVDTRLanczosSetExplicitMatrix(SVD,PetscBool);
276: SLEPC_EXTERN PetscErrorCode SVDTRLanczosGetExplicitMatrix(SVD,PetscBool*);
277: SLEPC_EXTERN PetscErrorCode SVDTRLanczosSetScale(SVD,PetscReal);
278: SLEPC_EXTERN PetscErrorCode SVDTRLanczosGetScale(SVD,PetscReal*);

280: /*E
281:     SVDPRIMMEMethod - determines the SVD method selected in the PRIMME library

283:     Level: advanced

285: .seealso: SVDPRIMMESetMethod(), SVDPRIMMEGetMethod()
286: E*/
287: typedef enum { SVD_PRIMME_HYBRID=1,
288:                SVD_PRIMME_NORMALEQUATIONS,
289:                SVD_PRIMME_AUGMENTED } SVDPRIMMEMethod;
290: SLEPC_EXTERN const char *SVDPRIMMEMethods[];

292: SLEPC_EXTERN PetscErrorCode SVDPRIMMESetBlockSize(SVD,PetscInt);
293: SLEPC_EXTERN PetscErrorCode SVDPRIMMEGetBlockSize(SVD,PetscInt*);
294: SLEPC_EXTERN PetscErrorCode SVDPRIMMESetMethod(SVD,SVDPRIMMEMethod);
295: SLEPC_EXTERN PetscErrorCode SVDPRIMMEGetMethod(SVD,SVDPRIMMEMethod*);

297: /*E
298:     SVDKSVDEigenMethod - determines the method to solve the eigenproblem within KSVD

300:     Level: advanced

302: .seealso: SVDKSVDSetEigenMethod(), SVDKSVDGetEigenMethod()
303: E*/
304: typedef enum { SVD_KSVD_EIGEN_MRRR=1,
305:                SVD_KSVD_EIGEN_DC,
306:                SVD_KSVD_EIGEN_ELPA } SVDKSVDEigenMethod;
307: SLEPC_EXTERN const char *SVDKSVDEigenMethods[];

309: /*E
310:     SVDKSVDPolarMethod - determines the method to compute the polar decomposition within KSVD

312:     Level: advanced

314: .seealso: SVDKSVDSetPolarMethod(), SVDKSVDGetPolarMethod()
315: E*/
316: typedef enum { SVD_KSVD_POLAR_QDWH=1,
317:                SVD_KSVD_POLAR_ZOLOPD } SVDKSVDPolarMethod;
318: SLEPC_EXTERN const char *SVDKSVDPolarMethods[];

320: SLEPC_EXTERN PetscErrorCode SVDKSVDSetEigenMethod(SVD,SVDKSVDEigenMethod);
321: SLEPC_EXTERN PetscErrorCode SVDKSVDGetEigenMethod(SVD,SVDKSVDEigenMethod*);
322: SLEPC_EXTERN PetscErrorCode SVDKSVDSetPolarMethod(SVD,SVDKSVDPolarMethod);
323: SLEPC_EXTERN PetscErrorCode SVDKSVDGetPolarMethod(SVD,SVDKSVDPolarMethod*);