Actual source code: slepcsvd.h
slepc-3.21.1 2024-04-26
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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*);