42 #ifndef BELOS_RCG_SOLMGR_HPP 43 #define BELOS_RCG_SOLMGR_HPP 64 #include "Teuchos_BLAS.hpp" 65 #include "Teuchos_LAPACK.hpp" 66 #include "Teuchos_as.hpp" 67 #ifdef BELOS_TEUCHOS_TIME_MONITOR 68 #include "Teuchos_TimeMonitor.hpp" 150 template<
class ScalarType,
class MV,
class OP,
151 const bool supportsScalarType =
153 ! Teuchos::ScalarTraits<ScalarType>::isComplex>
156 Belos::Details::LapackSupportsScalar<ScalarType>::value &&
157 ! Teuchos::ScalarTraits<ScalarType>::isComplex>
161 ! Teuchos::ScalarTraits<ScalarType>::isComplex;
170 const Teuchos::RCP<Teuchos::ParameterList> &pl) :
176 Teuchos::RCP<SolverManager<ScalarType, MV, OP> >
clone ()
const override {
184 template<
class ScalarType,
class MV,
class OP>
190 typedef Teuchos::ScalarTraits<ScalarType>
SCT;
191 typedef typename Teuchos::ScalarTraits<ScalarType>::magnitudeType
MagnitudeType;
192 typedef Teuchos::ScalarTraits<MagnitudeType>
MT;
228 const Teuchos::RCP<Teuchos::ParameterList> &pl );
234 Teuchos::RCP<SolverManager<ScalarType, MV, OP> >
clone ()
const override {
247 Teuchos::RCP<const Teuchos::ParameterList> getValidParameters()
const override;
257 Teuchos::Array<Teuchos::RCP<Teuchos::Time> >
getTimers()
const {
258 return Teuchos::tuple(timerSolve_);
286 void setParameters(
const Teuchos::RCP<Teuchos::ParameterList> ¶ms )
override;
299 if ((type &
Belos::Problem) && !Teuchos::is_null(problem_)) problem_->setProblem();
332 std::string description()
const override;
343 void getHarmonicVecs(
const Teuchos::SerialDenseMatrix<int,ScalarType> &F,
344 const Teuchos::SerialDenseMatrix<int,ScalarType> &G,
345 Teuchos::SerialDenseMatrix<int,ScalarType>& Y);
348 void sort(std::vector<ScalarType>& dlist,
int n, std::vector<int>& iperm);
351 void initializeStateStorage();
354 Teuchos::RCP<LinearProblem<ScalarType,MV,OP> >
problem_;
361 Teuchos::RCP<StatusTest<ScalarType,MV,OP> >
sTest_;
363 Teuchos::RCP<StatusTestGenResNorm<ScalarType,MV,OP> >
convTest_;
370 static constexpr
int maxIters_default_ = 1000;
371 static constexpr
int blockSize_default_ = 1;
372 static constexpr
int numBlocks_default_ = 25;
373 static constexpr
int recycleBlocks_default_ = 3;
374 static constexpr
bool showMaxResNormOnly_default_ =
false;
377 static constexpr
int outputFreq_default_ = -1;
378 static constexpr
const char * label_default_ =
"Belos";
379 static constexpr std::ostream * outputStream_default_ = &std::cout;
426 Teuchos::RCP<MV>
U_, AU_;
432 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
Alpha_;
433 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
Beta_;
434 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
D_;
437 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
Delta_;
440 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
UTAU_;
443 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
LUUTAU_;
446 Teuchos::RCP<std::vector<int> >
ipiv_;
449 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
AUTAU_;
452 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
rTz_old_;
455 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> > F_,G_,
Y_;
458 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
L2_,DeltaL2_,AU1TUDeltaL2_;
459 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> > AU1TAU1_,
AU1TU1_, AU1TAP_;
460 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> > FY_,
GY_;
461 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
APTAP_;
463 Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> >
AUTAP_, AU1TU_;
477 template<
class ScalarType,
class MV,
class OP>
486 template<
class ScalarType,
class MV,
class OP>
489 const Teuchos::RCP<Teuchos::ParameterList> &pl ) :
495 TEUCHOS_TEST_FOR_EXCEPTION(problem_ == Teuchos::null, std::invalid_argument,
"Problem not given to solver manager.");
498 if ( !is_null(pl) ) {
504 template<
class ScalarType,
class MV,
class OP>
507 outputStream_ = Teuchos::rcp(outputStream_default_,
false);
509 maxIters_ = maxIters_default_;
510 numBlocks_ = numBlocks_default_;
511 recycleBlocks_ = recycleBlocks_default_;
512 verbosity_ = verbosity_default_;
513 outputStyle_= outputStyle_default_;
514 outputFreq_= outputFreq_default_;
515 showMaxResNormOnly_ = showMaxResNormOnly_default_;
516 label_ = label_default_;
527 Alpha_ = Teuchos::null;
528 Beta_ = Teuchos::null;
530 Delta_ = Teuchos::null;
531 UTAU_ = Teuchos::null;
532 LUUTAU_ = Teuchos::null;
533 ipiv_ = Teuchos::null;
534 AUTAU_ = Teuchos::null;
535 rTz_old_ = Teuchos::null;
540 DeltaL2_ = Teuchos::null;
541 AU1TUDeltaL2_ = Teuchos::null;
542 AU1TAU1_ = Teuchos::null;
543 AU1TU1_ = Teuchos::null;
544 AU1TAP_ = Teuchos::null;
547 APTAP_ = Teuchos::null;
548 U1Y1_ = Teuchos::null;
549 PY2_ = Teuchos::null;
550 AUTAP_ = Teuchos::null;
551 AU1TU_ = Teuchos::null;
555 template<
class ScalarType,
class MV,
class OP>
559 if (params_ == Teuchos::null) {
560 params_ = Teuchos::rcp(
new Teuchos::ParameterList(*getValidParameters()) );
563 params->validateParameters(*getValidParameters());
567 if (params->isParameter(
"Maximum Iterations")) {
568 maxIters_ = params->get(
"Maximum Iterations",maxIters_default_);
571 params_->set(
"Maximum Iterations", maxIters_);
572 if (maxIterTest_!=Teuchos::null)
573 maxIterTest_->setMaxIters( maxIters_ );
577 if (params->isParameter(
"Num Blocks")) {
578 numBlocks_ = params->get(
"Num Blocks",numBlocks_default_);
579 TEUCHOS_TEST_FOR_EXCEPTION(numBlocks_ <= 0, std::invalid_argument,
580 "Belos::RCGSolMgr: \"Num Blocks\" must be strictly positive.");
583 params_->set(
"Num Blocks", numBlocks_);
587 if (params->isParameter(
"Num Recycled Blocks")) {
588 recycleBlocks_ = params->get(
"Num Recycled Blocks",recycleBlocks_default_);
589 TEUCHOS_TEST_FOR_EXCEPTION(recycleBlocks_ <= 0, std::invalid_argument,
590 "Belos::RCGSolMgr: \"Num Recycled Blocks\" must be strictly positive.");
592 TEUCHOS_TEST_FOR_EXCEPTION(recycleBlocks_ >= numBlocks_, std::invalid_argument,
593 "Belos::RCGSolMgr: \"Num Recycled Blocks\" must be less than \"Num Blocks\".");
596 params_->set(
"Num Recycled Blocks", recycleBlocks_);
600 if (params->isParameter(
"Timer Label")) {
601 std::string tempLabel = params->get(
"Timer Label", label_default_);
604 if (tempLabel != label_) {
606 params_->set(
"Timer Label", label_);
607 std::string solveLabel = label_ +
": RCGSolMgr total solve time";
608 #ifdef BELOS_TEUCHOS_TIME_MONITOR 609 timerSolve_ = Teuchos::TimeMonitor::getNewCounter(solveLabel);
615 if (params->isParameter(
"Verbosity")) {
616 if (Teuchos::isParameterType<int>(*params,
"Verbosity")) {
617 verbosity_ = params->get(
"Verbosity", verbosity_default_);
619 verbosity_ = (int)Teuchos::getParameter<Belos::MsgType>(*params,
"Verbosity");
623 params_->set(
"Verbosity", verbosity_);
624 if (printer_ != Teuchos::null)
625 printer_->setVerbosity(verbosity_);
629 if (params->isParameter(
"Output Style")) {
630 if (Teuchos::isParameterType<int>(*params,
"Output Style")) {
631 outputStyle_ = params->get(
"Output Style", outputStyle_default_);
633 outputStyle_ = (int)Teuchos::getParameter<Belos::OutputType>(*params,
"Output Style");
637 params_->set(
"Output Style", outputStyle_);
638 outputTest_ = Teuchos::null;
642 if (params->isParameter(
"Output Stream")) {
643 outputStream_ = Teuchos::getParameter<Teuchos::RCP<std::ostream> >(*params,
"Output Stream");
646 params_->set(
"Output Stream", outputStream_);
647 if (printer_ != Teuchos::null)
648 printer_->setOStream( outputStream_ );
653 if (params->isParameter(
"Output Frequency")) {
654 outputFreq_ = params->get(
"Output Frequency", outputFreq_default_);
658 params_->set(
"Output Frequency", outputFreq_);
659 if (outputTest_ != Teuchos::null)
660 outputTest_->setOutputFrequency( outputFreq_ );
664 if (printer_ == Teuchos::null) {
673 if (params->isParameter(
"Convergence Tolerance")) {
674 if (params->isType<
MagnitudeType> (
"Convergence Tolerance")) {
675 convtol_ = params->get (
"Convergence Tolerance",
683 params_->set(
"Convergence Tolerance", convtol_);
684 if (convTest_ != Teuchos::null)
688 if (params->isParameter(
"Show Maximum Residual Norm Only")) {
689 showMaxResNormOnly_ = Teuchos::getParameter<bool>(*params,
"Show Maximum Residual Norm Only");
692 params_->set(
"Show Maximum Residual Norm Only", showMaxResNormOnly_);
693 if (convTest_ != Teuchos::null)
694 convTest_->setShowMaxResNormOnly( showMaxResNormOnly_ );
700 if (maxIterTest_ == Teuchos::null)
704 if (convTest_ == Teuchos::null)
705 convTest_ = Teuchos::rcp(
new StatusTestResNorm_t( convtol_, 1 ) );
707 if (sTest_ == Teuchos::null)
708 sTest_ = Teuchos::rcp(
new StatusTestCombo_t( StatusTestCombo_t::OR, maxIterTest_, convTest_ ) );
710 if (outputTest_ == Teuchos::null) {
718 std::string solverDesc =
" Recycling CG ";
719 outputTest_->setSolverDesc( solverDesc );
723 if (timerSolve_ == Teuchos::null) {
724 std::string solveLabel = label_ +
": RCGSolMgr total solve time";
725 #ifdef BELOS_TEUCHOS_TIME_MONITOR 726 timerSolve_ = Teuchos::TimeMonitor::getNewCounter(solveLabel);
735 template<
class ScalarType,
class MV,
class OP>
736 Teuchos::RCP<const Teuchos::ParameterList>
739 static Teuchos::RCP<const Teuchos::ParameterList> validPL;
742 if(is_null(validPL)) {
743 Teuchos::RCP<Teuchos::ParameterList> pl = Teuchos::parameterList();
745 "The relative residual tolerance that needs to be achieved by the\n" 746 "iterative solver in order for the linear system to be declared converged.");
747 pl->set(
"Maximum Iterations", static_cast<int>(maxIters_default_),
748 "The maximum number of block iterations allowed for each\n" 749 "set of RHS solved.");
750 pl->set(
"Block Size", static_cast<int>(blockSize_default_),
751 "Block Size Parameter -- currently must be 1 for RCG");
752 pl->set(
"Num Blocks", static_cast<int>(numBlocks_default_),
753 "The length of a cycle (and this max number of search vectors kept)\n");
754 pl->set(
"Num Recycled Blocks", static_cast<int>(recycleBlocks_default_),
755 "The number of vectors in the recycle subspace.");
756 pl->set(
"Verbosity", static_cast<int>(verbosity_default_),
757 "What type(s) of solver information should be outputted\n" 758 "to the output stream.");
759 pl->set(
"Output Style", static_cast<int>(outputStyle_default_),
760 "What style is used for the solver information outputted\n" 761 "to the output stream.");
762 pl->set(
"Output Frequency", static_cast<int>(outputFreq_default_),
763 "How often convergence information should be outputted\n" 764 "to the output stream.");
765 pl->set(
"Output Stream", Teuchos::rcp(outputStream_default_,
false),
766 "A reference-counted pointer to the output stream where all\n" 767 "solver output is sent.");
768 pl->set(
"Show Maximum Residual Norm Only", static_cast<bool>(showMaxResNormOnly_default_),
769 "When convergence information is printed, only show the maximum\n" 770 "relative residual norm when the block size is greater than one.");
771 pl->set(
"Timer Label", static_cast<const char *>(label_default_),
772 "The string to use as a prefix for the timer labels.");
779 template<
class ScalarType,
class MV,
class OP>
783 Teuchos::RCP<const MV> rhsMV = problem_->getRHS();
784 if (rhsMV == Teuchos::null) {
791 TEUCHOS_TEST_FOR_EXCEPTION(static_cast<ptrdiff_t>(numBlocks_) > MVT::GetGlobalLength(*rhsMV),std::invalid_argument,
792 "Belos::RCGSolMgr::initializeStateStorage(): Cannot generate a Krylov basis with dimension larger the operator!");
795 if (P_ == Teuchos::null) {
796 P_ = MVT::Clone( *rhsMV, numBlocks_+2 );
800 if (MVT::GetNumberVecs(*P_) < numBlocks_+2) {
801 Teuchos::RCP<const MV> tmp = P_;
802 P_ = MVT::Clone( *tmp, numBlocks_+2 );
807 if (Ap_ == Teuchos::null)
808 Ap_ = MVT::Clone( *rhsMV, 1 );
811 if (r_ == Teuchos::null)
812 r_ = MVT::Clone( *rhsMV, 1 );
815 if (z_ == Teuchos::null)
816 z_ = MVT::Clone( *rhsMV, 1 );
819 if (U_ == Teuchos::null) {
820 U_ = MVT::Clone( *rhsMV, recycleBlocks_ );
824 if (MVT::GetNumberVecs(*U_) < recycleBlocks_) {
825 Teuchos::RCP<const MV> tmp = U_;
826 U_ = MVT::Clone( *tmp, recycleBlocks_ );
831 if (AU_ == Teuchos::null) {
832 AU_ = MVT::Clone( *rhsMV, recycleBlocks_ );
836 if (MVT::GetNumberVecs(*AU_) < recycleBlocks_) {
837 Teuchos::RCP<const MV> tmp = AU_;
838 AU_ = MVT::Clone( *tmp, recycleBlocks_ );
843 if (U1_ == Teuchos::null) {
844 U1_ = MVT::Clone( *rhsMV, recycleBlocks_ );
848 if (MVT::GetNumberVecs(*U1_) < recycleBlocks_) {
849 Teuchos::RCP<const MV> tmp = U1_;
850 U1_ = MVT::Clone( *tmp, recycleBlocks_ );
855 if (Alpha_ == Teuchos::null)
856 Alpha_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_, 1 ) );
858 if ( (Alpha_->numRows() != numBlocks_) || (Alpha_->numCols() != 1) )
859 Alpha_->reshape( numBlocks_, 1 );
863 if (Beta_ == Teuchos::null)
864 Beta_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_ + 1, 1 ) );
866 if ( (Beta_->numRows() != (numBlocks_+1)) || (Beta_->numCols() != 1) )
867 Beta_->reshape( numBlocks_ + 1, 1 );
871 if (D_ == Teuchos::null)
872 D_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_ , 1 ) );
874 if ( (D_->numRows() != numBlocks_) || (D_->numCols() != 1) )
875 D_->reshape( numBlocks_, 1 );
879 if (Delta_ == Teuchos::null)
880 Delta_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, numBlocks_ + 1 ) );
882 if ( (Delta_->numRows() != recycleBlocks_) || (Delta_->numCols() != (numBlocks_ + 1)) )
883 Delta_->reshape( recycleBlocks_, numBlocks_ + 1 );
887 if (UTAU_ == Teuchos::null)
888 UTAU_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, recycleBlocks_ ) );
890 if ( (UTAU_->numRows() != recycleBlocks_) || (UTAU_->numCols() != recycleBlocks_) )
891 UTAU_->reshape( recycleBlocks_, recycleBlocks_ );
895 if (LUUTAU_ == Teuchos::null)
896 LUUTAU_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, recycleBlocks_ ) );
898 if ( (LUUTAU_->numRows() != recycleBlocks_) || (LUUTAU_->numCols() != recycleBlocks_) )
899 LUUTAU_->reshape( recycleBlocks_, recycleBlocks_ );
903 if (ipiv_ == Teuchos::null)
904 ipiv_ = Teuchos::rcp(
new std::vector<int>(recycleBlocks_) );
906 if ( (
int)ipiv_->size() != recycleBlocks_ )
907 ipiv_->resize(recycleBlocks_);
911 if (AUTAU_ == Teuchos::null)
912 AUTAU_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, recycleBlocks_ ) );
914 if ( (AUTAU_->numRows() != recycleBlocks_) || (AUTAU_->numCols() != recycleBlocks_) )
915 AUTAU_->reshape( recycleBlocks_, recycleBlocks_ );
919 if (rTz_old_ == Teuchos::null)
920 rTz_old_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( 1, 1 ) );
922 if ( (rTz_old_->numRows() != 1) || (rTz_old_->numCols() != 1) )
923 rTz_old_->reshape( 1, 1 );
927 if (F_ == Teuchos::null)
928 F_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_+recycleBlocks_, numBlocks_+recycleBlocks_ ) );
930 if ( (F_->numRows() != (numBlocks_+recycleBlocks_)) || (F_->numCols() != numBlocks_+recycleBlocks_) )
931 F_->reshape( numBlocks_+recycleBlocks_, numBlocks_+recycleBlocks_ );
935 if (G_ == Teuchos::null)
936 G_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_+recycleBlocks_, numBlocks_+recycleBlocks_ ) );
938 if ( (G_->numRows() != (numBlocks_+recycleBlocks_)) || (G_->numCols() != numBlocks_+recycleBlocks_) )
939 G_->reshape( numBlocks_+recycleBlocks_, numBlocks_+recycleBlocks_ );
943 if (Y_ == Teuchos::null)
944 Y_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_+recycleBlocks_, recycleBlocks_ ) );
946 if ( (Y_->numRows() != (numBlocks_+recycleBlocks_)) || (Y_->numCols() != numBlocks_+recycleBlocks_) )
947 Y_->reshape( numBlocks_+recycleBlocks_, numBlocks_+recycleBlocks_ );
951 if (L2_ == Teuchos::null)
952 L2_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_+1, numBlocks_ ) );
954 if ( (L2_->numRows() != (numBlocks_+1)) || (L2_->numCols() != numBlocks_) )
955 L2_->reshape( numBlocks_+1, numBlocks_ );
959 if (DeltaL2_ == Teuchos::null)
960 DeltaL2_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, numBlocks_ ) );
962 if ( (DeltaL2_->numRows() != (recycleBlocks_)) || (DeltaL2_->numCols() != (numBlocks_) ) )
963 DeltaL2_->reshape( recycleBlocks_, numBlocks_ );
967 if (AU1TUDeltaL2_ == Teuchos::null)
968 AU1TUDeltaL2_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, numBlocks_ ) );
970 if ( (AU1TUDeltaL2_->numRows() != (recycleBlocks_)) || (AU1TUDeltaL2_->numCols() != (numBlocks_) ) )
971 AU1TUDeltaL2_->reshape( recycleBlocks_, numBlocks_ );
975 if (AU1TAU1_ == Teuchos::null)
976 AU1TAU1_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, recycleBlocks_ ) );
978 if ( (AU1TAU1_->numRows() != (recycleBlocks_)) || (AU1TAU1_->numCols() != (recycleBlocks_) ) )
979 AU1TAU1_->reshape( recycleBlocks_, recycleBlocks_ );
983 if (GY_ == Teuchos::null)
984 GY_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_ + recycleBlocks_, recycleBlocks_ ) );
986 if ( (GY_->numRows() != (numBlocks_ + recycleBlocks_)) || (GY_->numCols() != (recycleBlocks_) ) )
987 GY_->reshape( numBlocks_+recycleBlocks_, recycleBlocks_ );
991 if (AU1TU1_ == Teuchos::null)
992 AU1TU1_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, recycleBlocks_ ) );
994 if ( (AU1TU1_->numRows() != (recycleBlocks_)) || (AU1TU1_->numCols() != (recycleBlocks_) ) )
995 AU1TU1_->reshape( recycleBlocks_, recycleBlocks_ );
999 if (FY_ == Teuchos::null)
1000 FY_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_ + recycleBlocks_, recycleBlocks_ ) );
1002 if ( (FY_->numRows() != (numBlocks_ + recycleBlocks_)) || (FY_->numCols() != (recycleBlocks_) ) )
1003 FY_->reshape( numBlocks_+recycleBlocks_, recycleBlocks_ );
1007 if (AU1TAP_ == Teuchos::null)
1008 AU1TAP_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, numBlocks_ ) );
1010 if ( (AU1TAP_->numRows() != (recycleBlocks_)) || (AU1TAP_->numCols() != (numBlocks_) ) )
1011 AU1TAP_->reshape( recycleBlocks_, numBlocks_ );
1015 if (APTAP_ == Teuchos::null)
1016 APTAP_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( numBlocks_, numBlocks_ ) );
1018 if ( (APTAP_->numRows() != (numBlocks_)) || (APTAP_->numCols() != (numBlocks_) ) )
1019 APTAP_->reshape( numBlocks_, numBlocks_ );
1023 if (U1Y1_ == Teuchos::null) {
1024 U1Y1_ = MVT::Clone( *rhsMV, recycleBlocks_ );
1028 if (MVT::GetNumberVecs(*U1Y1_) < recycleBlocks_) {
1029 Teuchos::RCP<const MV> tmp = U1Y1_;
1030 U1Y1_ = MVT::Clone( *tmp, recycleBlocks_ );
1035 if (PY2_ == Teuchos::null) {
1036 PY2_ = MVT::Clone( *rhsMV, recycleBlocks_ );
1040 if (MVT::GetNumberVecs(*PY2_) < recycleBlocks_) {
1041 Teuchos::RCP<const MV> tmp = PY2_;
1042 PY2_ = MVT::Clone( *tmp, recycleBlocks_ );
1047 if (AUTAP_ == Teuchos::null)
1048 AUTAP_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, numBlocks_ ) );
1050 if ( (AUTAP_->numRows() != (recycleBlocks_)) || (AUTAP_->numCols() != (numBlocks_) ) )
1051 AUTAP_->reshape( recycleBlocks_, numBlocks_ );
1055 if (AU1TU_ == Teuchos::null)
1056 AU1TU_ = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( recycleBlocks_, recycleBlocks_ ) );
1058 if ( (AU1TU_->numRows() != (recycleBlocks_)) || (AU1TU_->numCols() != (recycleBlocks_) ) )
1059 AU1TU_->reshape( recycleBlocks_, recycleBlocks_ );
1066 template<
class ScalarType,
class MV,
class OP>
1069 Teuchos::LAPACK<int,ScalarType> lapack;
1070 std::vector<int> index(recycleBlocks_);
1071 ScalarType one = Teuchos::ScalarTraits<ScalarType>::one();
1072 ScalarType zero = Teuchos::ScalarTraits<ScalarType>::zero();
1081 setParameters(Teuchos::parameterList(*getValidParameters()));
1085 "Belos::RCGSolMgr::solve(): Linear problem is not a valid object.");
1087 "Belos::RCGSolMgr::solve(): Linear problem is not ready, setProblem() has not been called.");
1088 TEUCHOS_TEST_FOR_EXCEPTION((problem_->getLeftPrec() != Teuchos::null)&&(problem_->getRightPrec() != Teuchos::null),
1090 "Belos::RCGSolMgr::solve(): RCG does not support split preconditioning, only set left or right preconditioner.");
1093 Teuchos::RCP<OP> precObj;
1094 if (problem_->getLeftPrec() != Teuchos::null) {
1095 precObj = Teuchos::rcp_const_cast<OP>(problem_->getLeftPrec());
1097 else if (problem_->getRightPrec() != Teuchos::null) {
1098 precObj = Teuchos::rcp_const_cast<OP>(problem_->getRightPrec());
1102 int numRHS2Solve = MVT::GetNumberVecs( *(problem_->getRHS()) );
1103 std::vector<int> currIdx(1);
1107 problem_->setLSIndex( currIdx );
1110 ptrdiff_t dim = MVT::GetGlobalLength( *(problem_->getRHS()) );
1111 if (numBlocks_ > dim) {
1112 numBlocks_ = Teuchos::asSafe<int>(dim);
1113 params_->set(
"Num Blocks", numBlocks_);
1115 "Warning! Requested Krylov subspace dimension is larger than operator dimension!" << std::endl <<
1116 " The maximum number of blocks allowed for the Krylov subspace will be adjusted to " << numBlocks_ << std::endl;
1120 initializeStateStorage();
1123 Teuchos::ParameterList plist;
1124 plist.set(
"Num Blocks",numBlocks_);
1125 plist.set(
"Recycled Blocks",recycleBlocks_);
1128 outputTest_->reset();
1131 bool isConverged =
true;
1135 index.resize(recycleBlocks_);
1136 for (
int i=0; i<recycleBlocks_; ++i) { index[i] = i; }
1137 Teuchos::RCP<const MV> Utmp = MVT::CloneView( *U_, index );
1138 index.resize(recycleBlocks_);
1139 for (
int i=0; i<recycleBlocks_; ++i) { index[i] = i; }
1140 Teuchos::RCP<MV> AUtmp = MVT::CloneViewNonConst( *AU_, index );
1142 problem_->applyOp( *Utmp, *AUtmp );
1144 Teuchos::SerialDenseMatrix<int,ScalarType> UTAUtmp( Teuchos::View, *UTAU_, recycleBlocks_, recycleBlocks_ );
1145 MVT::MvTransMv( one, *Utmp, *AUtmp, UTAUtmp );
1147 Teuchos::SerialDenseMatrix<int,ScalarType> AUTAUtmp( Teuchos::View, *AUTAU_, recycleBlocks_, recycleBlocks_ );
1148 if ( precObj != Teuchos::null ) {
1149 index.resize(recycleBlocks_);
1150 for (
int i=0; i<recycleBlocks_; ++i) { index[i] = i; }
1151 index.resize(recycleBlocks_);
1152 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1153 Teuchos::RCP<MV> PCAU = MVT::CloneViewNonConst( *U1_, index );
1154 OPT::Apply( *precObj, *AUtmp, *PCAU );
1155 MVT::MvTransMv( one, *AUtmp, *PCAU, AUTAUtmp );
1157 MVT::MvTransMv( one, *AUtmp, *AUtmp, AUTAUtmp );
1164 Teuchos::RCP<RCGIter<ScalarType,MV,OP> > rcg_iter;
1169 #ifdef BELOS_TEUCHOS_TIME_MONITOR 1170 Teuchos::TimeMonitor slvtimer(*timerSolve_);
1173 while ( numRHS2Solve > 0 ) {
1176 if (printer_->isVerbosity(
Debug ) ) {
1177 if (existU_) printer_->print(
Debug,
"Using recycle space generated from previous call to solve()." );
1178 else printer_->print(
Debug,
"No recycle space exists." );
1182 rcg_iter->resetNumIters();
1185 rcg_iter->setSize( recycleBlocks_, numBlocks_ );
1188 outputTest_->resetNumCalls();
1197 problem_->computeCurrResVec( &*r_ );
1202 Teuchos::SerialDenseMatrix<int,ScalarType> Utr(recycleBlocks_,1);
1203 index.resize(recycleBlocks_);
1204 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1205 Teuchos::RCP<const MV> Utmp = MVT::CloneView( *U_, index );
1206 MVT::MvTransMv( one, *Utmp, *r_, Utr );
1207 Teuchos::SerialDenseMatrix<int,ScalarType> UTAUtmp( Teuchos::View, *UTAU_, recycleBlocks_, recycleBlocks_ );
1208 Teuchos::SerialDenseMatrix<int,ScalarType> LUUTAUtmp( Teuchos::View, *LUUTAU_, recycleBlocks_, recycleBlocks_ );
1209 LUUTAUtmp.assign(UTAUtmp);
1211 lapack.GESV(recycleBlocks_, 1, LUUTAUtmp.values(), LUUTAUtmp.stride(), &(*ipiv_)[0], Utr.values(), Utr.stride(), &info);
1213 "Belos::RCGSolMgr::solve(): LAPACK GESV failed to compute a solution.");
1216 MVT::MvTimesMatAddMv( one, *Utmp, Utr, one, *problem_->getCurrLHSVec() );
1219 index.resize(recycleBlocks_);
1220 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1221 Teuchos::RCP<const MV> AUtmp = MVT::CloneView( *AU_, index );
1222 MVT::MvTimesMatAddMv( -one, *AUtmp, Utr, one, *r_ );
1225 if ( precObj != Teuchos::null ) {
1226 OPT::Apply( *precObj, *r_, *z_ );
1232 MVT::MvTransMv( one, *r_, *z_, *rTz_old_ );
1236 Teuchos::SerialDenseMatrix<int,ScalarType> mu( Teuchos::View, *Delta_, recycleBlocks_, 1);
1237 index.resize(recycleBlocks_);
1238 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1239 Teuchos::RCP<const MV> AUtmp = MVT::CloneView( *AU_, index );
1240 MVT::MvTransMv( one, *AUtmp, *z_, mu );
1241 Teuchos::SerialDenseMatrix<int,ScalarType> LUUTAUtmp( Teuchos::View, *LUUTAU_, recycleBlocks_, recycleBlocks_ );
1244 lapack.GETRS(
TRANS, recycleBlocks_, 1, LUUTAUtmp.values(), LUUTAUtmp.stride(), &(*ipiv_)[0], mu.values(), mu.stride(), &info );
1246 "Belos::RCGSolMgr::solve(): LAPACK GETRS failed to compute a solution.");
1250 Teuchos::RCP<MV> Ptmp = MVT::CloneViewNonConst( *P_, index );
1251 MVT::MvAddMv(one,*z_,zero,*z_,*Ptmp);
1252 MVT::MvTimesMatAddMv( -one, *U_, mu, one, *Ptmp );
1257 Teuchos::RCP<MV> Ptmp = MVT::CloneViewNonConst( *P_, index );
1258 MVT::MvAddMv(one,*z_,zero,*z_,*Ptmp);
1265 index.resize( numBlocks_+1 );
1266 for (
int ii=0; ii<(numBlocks_+1); ++ii) { index[ii] = ii; }
1267 newstate.
P = MVT::CloneViewNonConst( *P_, index );
1268 index.resize( recycleBlocks_ );
1269 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1270 newstate.
U = MVT::CloneViewNonConst( *U_, index );
1271 index.resize( recycleBlocks_ );
1272 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1273 newstate.
AU = MVT::CloneViewNonConst( *AU_, index );
1274 newstate.
Alpha = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( Teuchos::View, *Alpha_, numBlocks_, 1 ) );
1275 newstate.
Beta = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( Teuchos::View, *Beta_, numBlocks_, 1 ) );
1276 newstate.
D = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( Teuchos::View, *D_, numBlocks_, 1 ) );
1277 newstate.
Delta = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( Teuchos::View, *Delta_, recycleBlocks_, numBlocks_, 0, 1 ) );
1278 newstate.
LUUTAU = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( Teuchos::View, *LUUTAU_, recycleBlocks_, recycleBlocks_ ) );
1284 newstate.
existU = existU_;
1285 newstate.
ipiv = ipiv_;
1288 rcg_iter->initialize(newstate);
1294 rcg_iter->iterate();
1301 if ( convTest_->getStatus() ==
Passed ) {
1310 else if ( maxIterTest_->getStatus() ==
Passed ) {
1312 isConverged =
false;
1320 else if ( rcg_iter->getCurSubspaceDim() == rcg_iter->getMaxSubspaceDim() ) {
1325 if (recycleBlocks_ > 0) {
1329 Teuchos::SerialDenseMatrix<int,ScalarType> Ftmp( Teuchos::View, *F_, numBlocks_, numBlocks_ );
1330 Teuchos::SerialDenseMatrix<int,ScalarType> Gtmp( Teuchos::View, *G_, numBlocks_, numBlocks_ );
1331 Teuchos::SerialDenseMatrix<int,ScalarType> Dtmp( Teuchos::View, *D_, numBlocks_, 1 );
1332 Teuchos::SerialDenseMatrix<int,ScalarType> Alphatmp( Teuchos::View, *Alpha_, numBlocks_, 1 );
1333 Teuchos::SerialDenseMatrix<int,ScalarType> Betatmp( Teuchos::View, *Beta_, numBlocks_, 1 );
1334 Ftmp.putScalar(zero);
1335 Gtmp.putScalar(zero);
1336 for (
int ii=0;ii<numBlocks_;ii++) {
1337 Gtmp(ii,ii) = (Dtmp(ii,0) / Alphatmp(ii,0))*(1 + Betatmp(ii,0));
1339 Gtmp(ii-1,ii) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1340 Gtmp(ii,ii-1) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1342 Ftmp(ii,ii) = Dtmp(ii,0);
1346 Teuchos::SerialDenseMatrix<int,ScalarType> Ytmp( Teuchos::View, *Y_, numBlocks_, recycleBlocks_ );
1347 getHarmonicVecs(Ftmp,Gtmp,Ytmp);
1350 index.resize( numBlocks_ );
1351 for (
int ii=0; ii<numBlocks_; ++ii) { index[ii] = ii; }
1352 Teuchos::RCP<const MV> Ptmp = MVT::CloneView( *P_, index );
1353 index.resize( recycleBlocks_ );
1354 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1355 Teuchos::RCP<MV> U1tmp = MVT::CloneViewNonConst( *U1_, index );
1356 MVT::MvTimesMatAddMv( one, *Ptmp, Ytmp, zero, *U1tmp );
1361 Teuchos::SerialDenseMatrix<int,ScalarType> GYtmp( Teuchos::View, *GY_, numBlocks_, recycleBlocks_ );
1362 GYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Gtmp,Ytmp,zero);
1363 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TAU1tmp( Teuchos::View, *AU1TAU1_, recycleBlocks_, recycleBlocks_ );
1364 AU1TAU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,GYtmp,zero);
1367 Teuchos::SerialDenseMatrix<int,ScalarType> FYtmp( Teuchos::View, *FY_, numBlocks_, recycleBlocks_ );
1368 FYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Ftmp,Ytmp,zero);
1369 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TU1tmp( Teuchos::View, *AU1TU1_, recycleBlocks_, recycleBlocks_ );
1370 AU1TU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,FYtmp,zero);
1372 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TAPtmp( Teuchos::View, *AU1TAP_, recycleBlocks_, 1 );
1374 AU1TAPtmp.putScalar(zero);
1376 ScalarType alphatmp = -1.0 / Alphatmp(numBlocks_-1,0);
1377 for (
int ii=0; ii<recycleBlocks_; ++ii) {
1378 AU1TAPtmp(ii,0) = Ytmp(numBlocks_-1,ii) * alphatmp;
1386 lastBeta = numBlocks_-1;
1393 Teuchos::SerialDenseMatrix<int,ScalarType> Dtmp( Teuchos::View, *D_, numBlocks_, 1 );
1394 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TAPtmp( Teuchos::View, *AU1TAP_, recycleBlocks_, numBlocks_ );
1395 AU1TAPtmp.scale(Dtmp(0,0));
1397 Teuchos::SerialDenseMatrix<int,ScalarType> Alphatmp( Teuchos::View, *Alpha_, numBlocks_, 1 );
1398 Teuchos::SerialDenseMatrix<int,ScalarType> Betatmp( Teuchos::View, *Beta_, numBlocks_+1, 1 );
1399 Teuchos::SerialDenseMatrix<int,ScalarType> APTAPtmp( Teuchos::View, *APTAP_, numBlocks_, numBlocks_ );
1400 APTAPtmp.putScalar(zero);
1401 for (
int ii=0; ii<numBlocks_; ii++) {
1402 APTAPtmp(ii,ii) = (Dtmp(ii,0) / Alphatmp(ii,0))*(1 + Betatmp(ii+1,0));
1404 APTAPtmp(ii-1,ii) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1405 APTAPtmp(ii,ii-1) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1410 Teuchos::SerialDenseMatrix<int,ScalarType> Ftmp( Teuchos::View, *F_, (numBlocks_+recycleBlocks_), (numBlocks_+recycleBlocks_) );
1411 Teuchos::SerialDenseMatrix<int,ScalarType> F11( Teuchos::View, *F_, recycleBlocks_, recycleBlocks_ );
1412 Teuchos::SerialDenseMatrix<int,ScalarType> F12( Teuchos::View, *F_, recycleBlocks_, numBlocks_, 0, recycleBlocks_ );
1413 Teuchos::SerialDenseMatrix<int,ScalarType> F21( Teuchos::View, *F_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1414 Teuchos::SerialDenseMatrix<int,ScalarType> F22( Teuchos::View, *F_, numBlocks_, numBlocks_, recycleBlocks_, recycleBlocks_ );
1415 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TU1tmp( Teuchos::View, *AU1TU1_, recycleBlocks_, recycleBlocks_ );
1416 F11.assign(AU1TU1tmp);
1417 F12.putScalar(zero);
1418 F21.putScalar(zero);
1419 F22.putScalar(zero);
1420 for(
int ii=0;ii<numBlocks_;ii++) {
1421 F22(ii,ii) = Dtmp(ii,0);
1425 Teuchos::SerialDenseMatrix<int,ScalarType> Gtmp( Teuchos::View, *G_, (numBlocks_+recycleBlocks_), (numBlocks_+recycleBlocks_) );
1426 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TAU1tmp( Teuchos::View, *AU1TAU1_, recycleBlocks_, recycleBlocks_ );
1427 Teuchos::SerialDenseMatrix<int,ScalarType> G11( Teuchos::View, *G_, recycleBlocks_, recycleBlocks_ );
1428 Teuchos::SerialDenseMatrix<int,ScalarType> G12( Teuchos::View, *G_, recycleBlocks_, numBlocks_, 0, recycleBlocks_ );
1429 Teuchos::SerialDenseMatrix<int,ScalarType> G21( Teuchos::View, *G_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1430 Teuchos::SerialDenseMatrix<int,ScalarType> G22( Teuchos::View, *G_, numBlocks_, numBlocks_, recycleBlocks_, recycleBlocks_ );
1431 G11.assign(AU1TAU1tmp);
1432 G12.assign(AU1TAPtmp);
1434 for (
int ii=0;ii<recycleBlocks_;++ii)
1435 for (
int jj=0;jj<numBlocks_;++jj)
1436 G21(jj,ii) = G12(ii,jj);
1437 G22.assign(APTAPtmp);
1440 Teuchos::SerialDenseMatrix<int,ScalarType> Ytmp( Teuchos::View, *Y_, (recycleBlocks_+numBlocks_), recycleBlocks_ );
1441 getHarmonicVecs(Ftmp,Gtmp,Ytmp);
1444 index.resize( numBlocks_ );
1445 for (
int ii=0; ii<numBlocks_; ++ii) { index[ii] = ii+1; }
1446 Teuchos::RCP<const MV> Ptmp = MVT::CloneView( *P_, index );
1447 index.resize( recycleBlocks_ );
1448 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1449 Teuchos::RCP<MV> PY2tmp = MVT::CloneViewNonConst( *PY2_, index );
1450 Teuchos::SerialDenseMatrix<int,ScalarType> Y2( Teuchos::View, *Y_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1451 index.resize( recycleBlocks_ );
1452 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1453 Teuchos::RCP<MV> U1tmp = MVT::CloneViewNonConst( *U1_, index );
1454 index.resize( recycleBlocks_ );
1455 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1456 Teuchos::RCP<MV> U1Y1tmp = MVT::CloneViewNonConst( *U1Y1_, index );
1457 Teuchos::SerialDenseMatrix<int,ScalarType> Y1( Teuchos::View, *Y_, recycleBlocks_, recycleBlocks_ );
1458 MVT::MvTimesMatAddMv( one, *Ptmp, Y2, zero, *PY2tmp );
1459 MVT::MvTimesMatAddMv( one, *U1tmp, Y1, zero, *U1Y1tmp );
1460 MVT::MvAddMv(one,*U1Y1tmp, one, *PY2tmp, *U1tmp);
1465 Teuchos::SerialDenseMatrix<int,ScalarType> GYtmp( Teuchos::View, *GY_, (numBlocks_+recycleBlocks_), recycleBlocks_ );
1466 GYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Gtmp,Ytmp,zero);
1467 AU1TAU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,GYtmp,zero);
1471 AU1TAPtmp.putScalar(zero);
1472 ScalarType alphatmp = -1.0 / Alphatmp(numBlocks_-1,0);
1473 for (
int ii=0; ii<recycleBlocks_; ++ii) {
1474 AU1TAPtmp(ii,0) = Ytmp(numBlocks_+recycleBlocks_-1,ii) * alphatmp;
1478 Teuchos::SerialDenseMatrix<int,ScalarType> FYtmp( Teuchos::View, *FY_, (numBlocks_+recycleBlocks_), recycleBlocks_ );
1479 FYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Ftmp,Ytmp,zero);
1481 AU1TU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,FYtmp,zero);
1484 lastp = numBlocks_+1;
1485 lastBeta = numBlocks_;
1491 Teuchos::SerialDenseMatrix<int,ScalarType> Alphatmp( Teuchos::View, *Alpha_, numBlocks_, 1 );
1492 Teuchos::SerialDenseMatrix<int,ScalarType> Betatmp( Teuchos::View, *Beta_, numBlocks_, 1 );
1493 Teuchos::SerialDenseMatrix<int,ScalarType> Dtmp( Teuchos::View, *D_, numBlocks_, 1 );
1494 Teuchos::SerialDenseMatrix<int,ScalarType> APTAPtmp( Teuchos::View, *APTAP_, numBlocks_, numBlocks_ );
1495 APTAPtmp.putScalar(zero);
1496 for (
int ii=0; ii<numBlocks_; ii++) {
1497 APTAPtmp(ii,ii) = (Dtmp(ii,0) / Alphatmp(ii,0))*(1 + Betatmp(ii,0));
1499 APTAPtmp(ii-1,ii) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1500 APTAPtmp(ii,ii-1) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1504 Teuchos::SerialDenseMatrix<int,ScalarType> L2tmp( Teuchos::View, *L2_, numBlocks_+1, numBlocks_ );
1505 L2tmp.putScalar(zero);
1506 for(
int ii=0;ii<numBlocks_;ii++) {
1507 L2tmp(ii,ii) = 1./Alphatmp(ii,0);
1508 L2tmp(ii+1,ii) = -1./Alphatmp(ii,0);
1512 Teuchos::SerialDenseMatrix<int,ScalarType> AUTAPtmp( Teuchos::View, *AUTAP_, recycleBlocks_, numBlocks_ );
1513 Teuchos::SerialDenseMatrix<int,ScalarType> UTAUtmp( Teuchos::View, *UTAU_, recycleBlocks_, recycleBlocks_ );
1514 Teuchos::SerialDenseMatrix<int,ScalarType> Deltatmp( Teuchos::View, *Delta_, recycleBlocks_, numBlocks_+1 );
1515 Teuchos::SerialDenseMatrix<int,ScalarType> DeltaL2tmp( Teuchos::View, *DeltaL2_, recycleBlocks_, numBlocks_ );
1516 DeltaL2tmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Deltatmp,L2tmp,zero);
1517 AUTAPtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,UTAUtmp,DeltaL2tmp,zero);
1520 Teuchos::SerialDenseMatrix<int,ScalarType> Ftmp( Teuchos::View, *F_, (numBlocks_+recycleBlocks_), (numBlocks_+recycleBlocks_) );
1521 Teuchos::SerialDenseMatrix<int,ScalarType> F11( Teuchos::View, *F_, recycleBlocks_, recycleBlocks_ );
1522 Teuchos::SerialDenseMatrix<int,ScalarType> F12( Teuchos::View, *F_, recycleBlocks_, numBlocks_, 0, recycleBlocks_ );
1523 Teuchos::SerialDenseMatrix<int,ScalarType> F21( Teuchos::View, *F_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1524 Teuchos::SerialDenseMatrix<int,ScalarType> F22( Teuchos::View, *F_, numBlocks_, numBlocks_, recycleBlocks_, recycleBlocks_ );
1525 F11.assign(UTAUtmp);
1526 F12.putScalar(zero);
1527 F21.putScalar(zero);
1528 F22.putScalar(zero);
1529 for(
int ii=0;ii<numBlocks_;ii++) {
1530 F22(ii,ii) = Dtmp(ii,0);
1534 Teuchos::SerialDenseMatrix<int,ScalarType> Gtmp( Teuchos::View, *G_, (numBlocks_+recycleBlocks_), (numBlocks_+recycleBlocks_) );
1535 Teuchos::SerialDenseMatrix<int,ScalarType> G11( Teuchos::View, *G_, recycleBlocks_, recycleBlocks_ );
1536 Teuchos::SerialDenseMatrix<int,ScalarType> G12( Teuchos::View, *G_, recycleBlocks_, numBlocks_, 0, recycleBlocks_ );
1537 Teuchos::SerialDenseMatrix<int,ScalarType> G21( Teuchos::View, *G_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1538 Teuchos::SerialDenseMatrix<int,ScalarType> G22( Teuchos::View, *G_, numBlocks_, numBlocks_, recycleBlocks_, recycleBlocks_ );
1539 Teuchos::SerialDenseMatrix<int,ScalarType> AUTAUtmp( Teuchos::View, *AUTAU_, recycleBlocks_, recycleBlocks_ );
1540 G11.assign(AUTAUtmp);
1541 G12.assign(AUTAPtmp);
1543 for (
int ii=0;ii<recycleBlocks_;++ii)
1544 for (
int jj=0;jj<numBlocks_;++jj)
1545 G21(jj,ii) = G12(ii,jj);
1546 G22.assign(APTAPtmp);
1549 Teuchos::SerialDenseMatrix<int,ScalarType> Ytmp( Teuchos::View, *Y_, (recycleBlocks_+numBlocks_), recycleBlocks_ );
1550 getHarmonicVecs(Ftmp,Gtmp,Ytmp);
1553 index.resize( recycleBlocks_ );
1554 for (
int ii=0; ii<(recycleBlocks_); ++ii) { index[ii] = ii; }
1555 Teuchos::RCP<const MV> Utmp = MVT::CloneView( *U_, index );
1556 index.resize( numBlocks_ );
1557 for (
int ii=0; ii<numBlocks_; ++ii) { index[ii] = ii; }
1558 Teuchos::RCP<const MV> Ptmp = MVT::CloneView( *P_, index );
1559 index.resize( recycleBlocks_ );
1560 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1561 Teuchos::RCP<MV> PY2tmp = MVT::CloneViewNonConst( *PY2_, index );
1562 Teuchos::SerialDenseMatrix<int,ScalarType> Y2( Teuchos::View, *Y_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1563 index.resize( recycleBlocks_ );
1564 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1565 Teuchos::RCP<MV> UY1tmp = MVT::CloneViewNonConst( *U1Y1_, index );
1566 Teuchos::SerialDenseMatrix<int,ScalarType> Y1( Teuchos::View, *Y_, recycleBlocks_, recycleBlocks_ );
1567 index.resize( recycleBlocks_ );
1568 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1569 Teuchos::RCP<MV> U1tmp = MVT::CloneViewNonConst( *U1_, index );
1570 MVT::MvTimesMatAddMv( one, *Ptmp, Y2, zero, *PY2tmp );
1571 MVT::MvTimesMatAddMv( one, *Utmp, Y1, zero, *UY1tmp );
1572 MVT::MvAddMv(one,*UY1tmp, one, *PY2tmp, *U1tmp);
1577 Teuchos::SerialDenseMatrix<int,ScalarType> GYtmp( Teuchos::View, *GY_, (numBlocks_+recycleBlocks_), recycleBlocks_ );
1578 GYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Gtmp,Ytmp,zero);
1579 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TAU1tmp( Teuchos::View, *AU1TAU1_, recycleBlocks_, recycleBlocks_ );
1580 AU1TAU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,GYtmp,zero);
1583 Teuchos::SerialDenseMatrix<int,ScalarType> FYtmp( Teuchos::View, *FY_, (numBlocks_+recycleBlocks_), recycleBlocks_ );
1584 FYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Ftmp,Ytmp,zero);
1585 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TU1tmp( Teuchos::View, *AU1TU1_, recycleBlocks_, recycleBlocks_ );
1586 AU1TU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,FYtmp,zero);
1589 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TUtmp( Teuchos::View, *AU1TU_, recycleBlocks_, recycleBlocks_ );
1590 AU1TUtmp.assign(UTAUtmp);
1593 dold = Dtmp(numBlocks_-1,0);
1600 lastBeta = numBlocks_-1;
1603 Teuchos::SerialDenseMatrix<int,ScalarType> Alphatmp( Teuchos::View, *Alpha_, numBlocks_, 1 );
1604 Teuchos::SerialDenseMatrix<int,ScalarType> Betatmp( Teuchos::View, *Beta_, numBlocks_+1, 1 );
1605 Teuchos::SerialDenseMatrix<int,ScalarType> Dtmp( Teuchos::View, *D_, numBlocks_, 1 );
1606 Teuchos::SerialDenseMatrix<int,ScalarType> APTAPtmp( Teuchos::View, *APTAP_, numBlocks_, numBlocks_ );
1607 for (
int ii=0; ii<numBlocks_; ii++) {
1608 APTAPtmp(ii,ii) = (Dtmp(ii,0) / Alphatmp(ii,0))*(1 + Betatmp(ii+1,0));
1610 APTAPtmp(ii-1,ii) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1611 APTAPtmp(ii,ii-1) = -Dtmp(ii,0)/Alphatmp(ii-1,0);
1615 Teuchos::SerialDenseMatrix<int,ScalarType> L2tmp( Teuchos::View, *L2_, numBlocks_+1, numBlocks_ );
1616 for(
int ii=0;ii<numBlocks_;ii++) {
1617 L2tmp(ii,ii) = 1./Alphatmp(ii,0);
1618 L2tmp(ii+1,ii) = -1./Alphatmp(ii,0);
1623 Teuchos::SerialDenseMatrix<int,ScalarType> DeltaL2( Teuchos::View, *DeltaL2_, recycleBlocks_, numBlocks_ );
1624 Teuchos::SerialDenseMatrix<int,ScalarType> Deltatmp( Teuchos::View, *Delta_, recycleBlocks_, numBlocks_+1 );
1625 DeltaL2.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Deltatmp,L2tmp,zero);
1626 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TUDeltaL2( Teuchos::View, *AU1TUDeltaL2_, recycleBlocks_, numBlocks_ );
1627 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TUtmp( Teuchos::View, *AU1TU_, recycleBlocks_, recycleBlocks_ );
1628 AU1TUDeltaL2.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,AU1TUtmp,DeltaL2,zero);
1629 Teuchos::SerialDenseMatrix<int,ScalarType> Y1( Teuchos::View, *Y_, recycleBlocks_, recycleBlocks_ );
1630 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TAPtmp( Teuchos::View, *AU1TAP_, recycleBlocks_, numBlocks_ );
1631 AU1TAPtmp.putScalar(zero);
1632 AU1TAPtmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Y1,AU1TUDeltaL2,zero);
1633 Teuchos::SerialDenseMatrix<int,ScalarType> Y2( Teuchos::View, *Y_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1634 ScalarType val = dold * (-Betatmp(0,0)/Alphatmp(0,0));
1635 for(
int ii=0;ii<recycleBlocks_;ii++) {
1636 AU1TAPtmp(ii,0) += Y2(numBlocks_-1,ii)*val;
1640 Teuchos::SerialDenseMatrix<int,ScalarType> Y1TAU1TU( Teuchos::View, *GY_, recycleBlocks_, recycleBlocks_ );
1641 Y1TAU1TU.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Y1,AU1TUtmp,zero);
1642 AU1TUtmp.assign(Y1TAU1TU);
1645 Teuchos::SerialDenseMatrix<int,ScalarType> Ftmp( Teuchos::View, *F_, (numBlocks_+recycleBlocks_), (numBlocks_+recycleBlocks_) );
1646 Teuchos::SerialDenseMatrix<int,ScalarType> F11( Teuchos::View, *F_, recycleBlocks_, recycleBlocks_ );
1647 Teuchos::SerialDenseMatrix<int,ScalarType> F12( Teuchos::View, *F_, recycleBlocks_, numBlocks_, 0, recycleBlocks_ );
1648 Teuchos::SerialDenseMatrix<int,ScalarType> F21( Teuchos::View, *F_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1649 Teuchos::SerialDenseMatrix<int,ScalarType> F22( Teuchos::View, *F_, numBlocks_, numBlocks_, recycleBlocks_, recycleBlocks_ );
1650 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TU1tmp( Teuchos::View, *AU1TU1_, recycleBlocks_, recycleBlocks_ );
1651 F11.assign(AU1TU1tmp);
1652 for(
int ii=0;ii<numBlocks_;ii++) {
1653 F22(ii,ii) = Dtmp(ii,0);
1657 Teuchos::SerialDenseMatrix<int,ScalarType> Gtmp( Teuchos::View, *G_, (numBlocks_+recycleBlocks_), (numBlocks_+recycleBlocks_) );
1658 Teuchos::SerialDenseMatrix<int,ScalarType> G11( Teuchos::View, *G_, recycleBlocks_, recycleBlocks_ );
1659 Teuchos::SerialDenseMatrix<int,ScalarType> G12( Teuchos::View, *G_, recycleBlocks_, numBlocks_, 0, recycleBlocks_ );
1660 Teuchos::SerialDenseMatrix<int,ScalarType> G21( Teuchos::View, *G_, numBlocks_, recycleBlocks_, recycleBlocks_, 0 );
1661 Teuchos::SerialDenseMatrix<int,ScalarType> G22( Teuchos::View, *G_, numBlocks_, numBlocks_, recycleBlocks_, recycleBlocks_ );
1662 Teuchos::SerialDenseMatrix<int,ScalarType> AU1TAU1tmp( Teuchos::View, *AU1TAU1_, recycleBlocks_, recycleBlocks_ );
1663 G11.assign(AU1TAU1tmp);
1664 G12.assign(AU1TAPtmp);
1666 for (
int ii=0;ii<recycleBlocks_;++ii)
1667 for (
int jj=0;jj<numBlocks_;++jj)
1668 G21(jj,ii) = G12(ii,jj);
1669 G22.assign(APTAPtmp);
1672 Teuchos::SerialDenseMatrix<int,ScalarType> Ytmp( Teuchos::View, *Y_, (recycleBlocks_+numBlocks_), recycleBlocks_ );
1673 getHarmonicVecs(Ftmp,Gtmp,Ytmp);
1676 index.resize( numBlocks_ );
1677 for (
int ii=0; ii<numBlocks_; ++ii) { index[ii] = ii+1; }
1678 Teuchos::RCP<const MV> Ptmp = MVT::CloneView( *P_, index );
1679 index.resize( recycleBlocks_ );
1680 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1681 Teuchos::RCP<MV> PY2tmp = MVT::CloneViewNonConst( *PY2_, index );
1682 index.resize( recycleBlocks_ );
1683 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1684 Teuchos::RCP<MV> U1tmp = MVT::CloneViewNonConst( *U1_, index );
1685 index.resize( recycleBlocks_ );
1686 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1687 Teuchos::RCP<MV> U1Y1tmp = MVT::CloneViewNonConst( *U1Y1_, index );
1688 MVT::MvTimesMatAddMv( one, *Ptmp, Y2, zero, *PY2tmp );
1689 MVT::MvTimesMatAddMv( one, *U1tmp, Y1, zero, *U1Y1tmp );
1690 MVT::MvAddMv(one,*U1Y1tmp, one, *PY2tmp, *U1tmp);
1695 Teuchos::SerialDenseMatrix<int,ScalarType> GYtmp( Teuchos::View, *GY_, (numBlocks_+recycleBlocks_), recycleBlocks_ );
1696 GYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Gtmp,Ytmp,zero);
1697 AU1TAU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,GYtmp,zero);
1700 Teuchos::SerialDenseMatrix<int,ScalarType> FYtmp( Teuchos::View, *FY_, (numBlocks_+recycleBlocks_), recycleBlocks_ );
1701 FYtmp.multiply(Teuchos::NO_TRANS,Teuchos::NO_TRANS,one,Ftmp,Ytmp,zero);
1702 AU1TU1tmp.multiply(
Teuchos::TRANS,Teuchos::NO_TRANS,one,Ytmp,FYtmp,zero);
1705 dold = Dtmp(numBlocks_-1,0);
1708 lastp = numBlocks_+1;
1709 lastBeta = numBlocks_;
1719 index[0] = lastp-1; index[1] = lastp;
1720 Teuchos::RCP<const MV> Ptmp2 = MVT::CloneView( *P_, index );
1721 index[0] = 0; index[1] = 1;
1722 MVT::SetBlock(*Ptmp2,index,*P_);
1725 (*Beta_)(0,0) = (*Beta_)(lastBeta,0);
1729 Teuchos::SerialDenseMatrix<int,ScalarType> mu1( Teuchos::View, *Delta_, recycleBlocks_, 1, 0, 0 );
1730 Teuchos::SerialDenseMatrix<int,ScalarType> mu2( Teuchos::View, *Delta_, recycleBlocks_, 1, 0, numBlocks_ );
1735 newstate.
P = Teuchos::null;
1736 index.resize( numBlocks_+1 );
1737 for (
int ii=0; ii<(numBlocks_+1); ++ii) { index[ii] = ii+1; }
1738 newstate.
P = MVT::CloneViewNonConst( *P_, index );
1740 newstate.
Beta = Teuchos::null;
1741 newstate.
Beta = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( Teuchos::View, *Beta_, numBlocks_, 1, 1, 0 ) );
1743 newstate.
Delta = Teuchos::null;
1744 newstate.
Delta = Teuchos::rcp(
new Teuchos::SerialDenseMatrix<int,ScalarType>( Teuchos::View, *Delta_, recycleBlocks_, numBlocks_, 0, 1 ) );
1749 rcg_iter->initialize(newstate);
1762 TEUCHOS_TEST_FOR_EXCEPTION(
true,std::logic_error,
1763 "Belos::RCGSolMgr::solve(): Invalid return from RCGIter::iterate().");
1766 catch (
const std::exception &e) {
1767 printer_->stream(
Errors) <<
"Error! Caught std::exception in RCGIter::iterate() at iteration " 1768 << rcg_iter->getNumIters() << std::endl
1769 << e.what() << std::endl;
1775 problem_->setCurrLS();
1779 if ( numRHS2Solve > 0 ) {
1782 problem_->setLSIndex( currIdx );
1785 currIdx.resize( numRHS2Solve );
1791 index.resize(recycleBlocks_);
1792 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1793 MVT::SetBlock(*U1_,index,*U_);
1796 if (numRHS2Solve > 0) {
1798 newstate.
P = Teuchos::null;
1799 newstate.
Ap = Teuchos::null;
1800 newstate.
r = Teuchos::null;
1801 newstate.
z = Teuchos::null;
1802 newstate.
U = Teuchos::null;
1803 newstate.
AU = Teuchos::null;
1804 newstate.
Alpha = Teuchos::null;
1805 newstate.
Beta = Teuchos::null;
1806 newstate.
D = Teuchos::null;
1807 newstate.
Delta = Teuchos::null;
1808 newstate.
LUUTAU = Teuchos::null;
1809 newstate.
ipiv = Teuchos::null;
1810 newstate.
rTz_old = Teuchos::null;
1813 index.resize(recycleBlocks_);
1814 for (
int i=0; i<recycleBlocks_; ++i) { index[i] = i; }
1815 Teuchos::RCP<const MV> Utmp = MVT::CloneView( *U_, index );
1816 index.resize(recycleBlocks_);
1817 for (
int i=0; i<recycleBlocks_; ++i) { index[i] = i; }
1818 Teuchos::RCP<MV> AUtmp = MVT::CloneViewNonConst( *AU_, index );
1820 problem_->applyOp( *Utmp, *AUtmp );
1822 Teuchos::SerialDenseMatrix<int,ScalarType> UTAUtmp( Teuchos::View, *UTAU_, recycleBlocks_, recycleBlocks_ );
1823 MVT::MvTransMv( one, *Utmp, *AUtmp, UTAUtmp );
1825 Teuchos::SerialDenseMatrix<int,ScalarType> AUTAUtmp( Teuchos::View, *AUTAU_, recycleBlocks_, recycleBlocks_ );
1826 if ( precObj != Teuchos::null ) {
1827 index.resize(recycleBlocks_);
1828 for (
int i=0; i<recycleBlocks_; ++i) { index[i] = i; }
1829 index.resize(recycleBlocks_);
1830 for (
int ii=0; ii<recycleBlocks_; ++ii) { index[ii] = ii; }
1831 Teuchos::RCP<MV> LeftPCAU = MVT::CloneViewNonConst( *U1_, index );
1832 OPT::Apply( *precObj, *AUtmp, *LeftPCAU );
1833 MVT::MvTransMv( one, *AUtmp, *LeftPCAU, AUTAUtmp );
1835 MVT::MvTransMv( one, *AUtmp, *AUtmp, AUTAUtmp );
1848 #ifdef BELOS_TEUCHOS_TIME_MONITOR 1853 Teuchos::TimeMonitor::summarize( printer_->stream(
TimingDetails) );
1857 numIters_ = maxIterTest_->getNumIters();
1861 using Teuchos::rcp_dynamic_cast;
1864 const std::vector<MagnitudeType>* pTestValues =
1865 rcp_dynamic_cast<conv_test_type>(convTest_)->getTestValue();
1867 TEUCHOS_TEST_FOR_EXCEPTION(pTestValues == NULL, std::logic_error,
1868 "Belos::RCGSolMgr::solve(): The convergence test's getTestValue() " 1869 "method returned NULL. Please report this bug to the Belos developers.");
1871 TEUCHOS_TEST_FOR_EXCEPTION(pTestValues->size() < 1, std::logic_error,
1872 "Belos::RCGSolMgr::solve(): The convergence test's getTestValue() " 1873 "method returned a vector of length zero. Please report this bug to the " 1874 "Belos developers.");
1879 achievedTol_ = *std::max_element (pTestValues->begin(), pTestValues->end());
1889 template<
class ScalarType,
class MV,
class OP>
1891 const Teuchos::SerialDenseMatrix<int,ScalarType>& G,
1892 Teuchos::SerialDenseMatrix<int,ScalarType>& Y) {
1894 int n = F.numCols();
1897 Teuchos::LAPACK<int,ScalarType> lapack;
1900 std::vector<MagnitudeType> w(n);
1903 std::vector<int> iperm(n);
1910 std::vector<ScalarType> work(1);
1914 Teuchos::SerialDenseMatrix<int,ScalarType> F2( Teuchos::Copy, *F_ );
1915 Teuchos::SerialDenseMatrix<int,ScalarType> G2( Teuchos::Copy, *G_ );
1918 lapack.SYGV(itype, jobz, uplo, n, G2.values(), G2.stride(), F2.values(), F2.stride(), &w[0], &work[0], lwork, &info);
1920 "Belos::RCGSolMgr::solve(): LAPACK SYGV failed to query optimal work size.");
1921 lwork = (int)work[0];
1923 lapack.SYGV(itype, jobz, uplo, n, G2.values(), G2.stride(), F2.values(), F2.stride(), &w[0], &work[0], lwork, &info);
1925 "Belos::RCGSolMgr::solve(): LAPACK SYGV failed to compute eigensolutions.");
1929 this->sort(w,n,iperm);
1932 for(
int i=0; i<recycleBlocks_; i++ ) {
1933 for(
int j=0; j<n; j++ ) {
1934 Y(j,i) = G2(j,iperm[i]);
1941 template<
class ScalarType,
class MV,
class OP>
1944 int l, r, j, i, flag;
1973 if (dlist[j] > dlist[j - 1]) j = j + 1;
1975 if (dlist[j - 1] > dK) {
1976 dlist[i - 1] = dlist[j - 1];
1977 iperm[i - 1] = iperm[j - 1];
1990 dlist[r] = dlist[0];
1991 iperm[r] = iperm[0];
2006 template<
class ScalarType,
class MV,
class OP>
2009 std::ostringstream oss;
2010 oss <<
"Belos::RCGSolMgr<...,"<<Teuchos::ScalarTraits<ScalarType>::name()<<
">";
Teuchos::RCP< MV > r
The current residual.
Collection of types and exceptions used within the Belos solvers.
Teuchos::RCP< std::ostream > outputStream_
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > rTz_old
Teuchos::RCP< const Teuchos::ParameterList > getCurrentParameters() const override
Get a parameter list containing the current parameters for this object.
Belos's basic output manager for sending information of select verbosity levels to the appropriate ou...
Teuchos::RCP< MV > P
The current Krylov basis.
Teuchos::ScalarTraits< MagnitudeType > MT
Teuchos::RCP< std::vector< int > > ipiv
Data from LU factorization of U^T A U.
Class which manages the output and verbosity of the Belos solvers.
Teuchos::RCP< Teuchos::Time > timerSolve_
RCGSolMgrRecyclingFailure is thrown when any problem occurs in using/creating the recycling subspace...
static const bool scalarTypeIsSupported
Teuchos::RCP< StatusTest< ScalarType, MV, OP > > sTest_
MagnitudeType achievedTol_
Tolerance achieved by the last solve() invocation.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > D_
Teuchos::RCP< StatusTestOutput< ScalarType, MV, OP > > outputTest_
int getNumIters() const override
Get the iteration count for the most recent call to solve().
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > AUTAU_
virtual ~RCGSolMgr()
Destructor.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > GY_
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > L2_
Teuchos::RCP< MV > U
The recycled subspace and its image.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > LUUTAU
The LU factorization of the matrix U^T A U.
Base class for Belos::SolverManager subclasses which normally can only compile with real ScalarType t...
A factory class for generating StatusTestOutput objects.
Implementation of the RCG (Recycling Conjugate Gradient) iterative linear solver. ...
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > Beta
This class implements the RCG iteration, where a single-std::vector Krylov subspace is constructed...
int numIters_
Number of iterations taken by the last solve() invocation.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > AUTAP_
Teuchos::ScalarTraits< ScalarType >::magnitudeType MagnitudeType
An implementation of StatusTestResNorm using a family of residual norms.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > UTAU_
Teuchos::RCP< SolverManager< ScalarType, MV, OP > > clone() const override
clone for Inverted Injection (DII)
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > rTz_old_
Belos::StatusTest class for specifying a maximum number of iterations.
Teuchos::RCP< Teuchos::ParameterList > params_
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > AU1TU1_
bool isLOADetected() const override
Return whether a loss of accuracy was detected by this solver during the most current solve...
A factory class for generating StatusTestOutput objects.
Iterated Modified Gram-Schmidt (IMGS) implementation of the Belos::OrthoManager class.
RCGSolMgrLinearProblemFailure(const std::string &what_arg)
RCGSolMgrLinearProblemFailure is thrown when the linear problem is not setup (i.e.
MagnitudeType convtol_
Convergence tolerance (read from parameter list).
Traits class which defines basic operations on multivectors.
Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > problem_
Belos::StatusTest for logically combining several status tests.
Structure to contain pointers to RCGIter state variables.
Belos concrete class for performing the RCG iteration.
MultiVecTraits< ScalarType, MV > MVT
Classical Gram-Schmidt (with DGKS correction) implementation of the Belos::OrthoManager class...
int maxIters_
Maximum iteration count (read from parameter list).
Teuchos::Array< Teuchos::RCP< Teuchos::Time > > getTimers() const
Return the timers for this object.
A Belos::StatusTest class for specifying a maximum number of iterations.
ResetType
How to reset the solver.
bool existU
Flag to indicate the recycle space should be used.
const LinearProblem< ScalarType, MV, OP > & getProblem() const override
Return a reference to the linear problem being solved by this solver manager.
Pure virtual base class which describes the basic interface for a solver manager. ...
static constexpr double convTol
Default convergence tolerance.
Teuchos::RCP< MV > z
The current preconditioned residual.
Teuchos::RCP< MV > Ap
A times current search vector.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > Alpha_
A linear system to solve, and its associated information.
Class which describes the linear problem to be solved by the iterative solver.
Type traits class that says whether Teuchos::LAPACK has a valid implementation for the given ScalarTy...
OperatorTraits< ScalarType, MV, OP > OPT
ReturnType
Whether the Belos solve converged for all linear systems.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > APTAP_
Teuchos::RCP< std::vector< int > > ipiv_
Iterated Classical Gram-Schmidt (ICGS) implementation of the Belos::OrthoManager class.
Teuchos::RCP< StatusTestGenResNorm< ScalarType, MV, OP > > convTest_
Teuchos::RCP< OutputManager< ScalarType > > printer_
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > Alpha
Coefficients arising in RCG iteration.
int setTolerance(MagnitudeType tolerance)
Set the value of the tolerance.
Teuchos::RCP< StatusTestOutput< ScalarType, MV, OP > > create(const Teuchos::RCP< OutputManager< ScalarType > > &printer, Teuchos::RCP< StatusTest< ScalarType, MV, OP > > test, int mod, int printStates)
Create the StatusTestOutput object specified by the outputStyle.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > Beta_
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > Y_
Belos::StatusTestResNorm for specifying general residual norm stopping criteria.
Teuchos::RCP< StatusTestMaxIters< ScalarType, MV, OP > > maxIterTest_
int curDim
The current dimension of the reduction.
RCGSolMgrLAPACKFailure(const std::string &what_arg)
RCGSolMgr(const Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > &problem, const Teuchos::RCP< Teuchos::ParameterList > &pl)
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > LUUTAU_
A class for extending the status testing capabilities of Belos via logical combinations.
Details::SolverManagerRequiresRealLapack< ScalarType, MV, OP, scalarTypeIsSupported > base_type
MagnitudeType achievedTol() const override
Tolerance achieved by the last solve() invocation.
Class which defines basic traits for the operator type.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > D
Teuchos::ScalarTraits< ScalarType > SCT
Parent class to all Belos exceptions.
Teuchos::RCP< SolverManager< ScalarType, MV, OP > > clone() const override
clone for Inverted Injection (DII)
RCGSolMgrRecyclingFailure(const std::string &what_arg)
Belos header file which uses auto-configuration information to include necessary C++ headers...
RCGSolMgrLAPACKFailure is thrown when a nonzero value is retuned from an LAPACK call.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > Delta
Solutions to local least-squares problems.
void setProblem(const Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > &problem) override
Set the linear problem that needs to be solved.
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > Delta_
void reset(const ResetType type) override
Performs a reset of the solver manager specified by the ResetType. This informs the solver manager th...