gmres.hpp File Reference

Implementations of the generalized minimum residual method are in this file. More...

#include <vector>
#include <cmath>
#include <limits>
#include "viennacl/forwards.h"
#include "viennacl/tools/tools.hpp"
#include "viennacl/linalg/norm_2.hpp"
#include "viennacl/linalg/prod.hpp"
#include "viennacl/linalg/inner_prod.hpp"
#include "viennacl/traits/clear.hpp"
#include "viennacl/traits/size.hpp"
#include "viennacl/traits/context.hpp"
#include "viennacl/meta/result_of.hpp"
#include "viennacl/linalg/iterative_operations.hpp"
#include "viennacl/vector_proxy.hpp"

Go to the source code of this file.

Classes
class	viennacl::linalg::gmres_tag
	A tag for the solver GMRES. Used for supplying solver parameters and for dispatching the solve() function. More...
class	viennacl::linalg::gmres_solver< VectorT >

Namespaces
	viennacl
	Main namespace in ViennaCL. Holds all the basic types such as vector, matrix, etc. and defines operations upon them.
	viennacl::linalg
	Provides all linear algebra operations which are not covered by operator overloads.
	viennacl::linalg::detail
	Namespace holding implementation details for linear algebra routines. Usually not of interest for a library user.

Functions
template<typename SrcVectorT , typename DestVectorT >
void	viennacl::linalg::detail::gmres_copy_helper (SrcVectorT const &src, DestVectorT &dest, vcl_size_t len, vcl_size_t start=0)
template<typename NumericT , typename DestVectorT >
void	viennacl::linalg::detail::gmres_copy_helper (viennacl::vector< NumericT > const &src, DestVectorT &dest, vcl_size_t len, vcl_size_t start=0)
template<typename VectorT , typename NumericT >
void	viennacl::linalg::detail::gmres_setup_householder_vector (VectorT const &input_vec, VectorT &hh_vec, NumericT &beta, NumericT &mu, vcl_size_t j)
	Computes the householder vector 'hh_vec' which rotates 'input_vec' such that all entries below the j-th entry of 'v' become zero. More...
template<typename VectorT , typename NumericT >
void	viennacl::linalg::detail::gmres_householder_reflect (VectorT &x, VectorT const &h, NumericT beta)
template<typename MatrixType , typename ScalarType >
viennacl::vector< ScalarType >	viennacl::linalg::detail::pipelined_solve (MatrixType const &A, viennacl::vector< ScalarType > const &rhs, gmres_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< ScalarType > const &, ScalarType, void *)=NULL, void *monitor_data=NULL)
	Implementation of a pipelined GMRES solver without preconditioner. More...
template<typename NumericT >
viennacl::vector< NumericT >	viennacl::linalg::detail::solve_impl (viennacl::compressed_matrix< NumericT > const &A, viennacl::vector< NumericT > const &rhs, gmres_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< NumericT > const &, NumericT, void *)=NULL, void *monitor_data=NULL)
	Overload for the pipelined CG implementation for the ViennaCL sparse matrix types. More...
template<typename NumericT >
viennacl::vector< NumericT >	viennacl::linalg::detail::solve_impl (viennacl::coordinate_matrix< NumericT > const &A, viennacl::vector< NumericT > const &rhs, gmres_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< NumericT > const &, NumericT, void *)=NULL, void *monitor_data=NULL)
	Overload for the pipelined CG implementation for the ViennaCL sparse matrix types. More...
template<typename NumericT >
viennacl::vector< NumericT >	viennacl::linalg::detail::solve_impl (viennacl::ell_matrix< NumericT > const &A, viennacl::vector< NumericT > const &rhs, gmres_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< NumericT > const &, NumericT, void *)=NULL, void *monitor_data=NULL)
	Overload for the pipelined CG implementation for the ViennaCL sparse matrix types. More...
template<typename NumericT >
viennacl::vector< NumericT >	viennacl::linalg::detail::solve_impl (viennacl::sliced_ell_matrix< NumericT > const &A, viennacl::vector< NumericT > const &rhs, gmres_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< NumericT > const &, NumericT, void *)=NULL, void *monitor_data=NULL)
	Overload for the pipelined CG implementation for the ViennaCL sparse matrix types. More...
template<typename NumericT >
viennacl::vector< NumericT >	viennacl::linalg::detail::solve_impl (viennacl::hyb_matrix< NumericT > const &A, viennacl::vector< NumericT > const &rhs, gmres_tag const &tag, viennacl::linalg::no_precond, bool(*monitor)(viennacl::vector< NumericT > const &, NumericT, void *)=NULL, void *monitor_data=NULL)
	Overload for the pipelined CG implementation for the ViennaCL sparse matrix types. More...
template<typename MatrixT , typename VectorT , typename PreconditionerT >
VectorT	viennacl::linalg::detail::solve_impl (MatrixT const &matrix, VectorT const &rhs, gmres_tag const &tag, PreconditionerT const &precond, bool(*monitor)(VectorT const &, typename viennacl::result_of::cpu_value_type< typename viennacl::result_of::value_type< VectorT >::type >::type, void *)=NULL, void *monitor_data=NULL)
	Implementation of the GMRES solver. More...
template<typename MatrixT , typename VectorT , typename PreconditionerT >
VectorT	viennacl::linalg::solve (MatrixT const &matrix, VectorT const &rhs, gmres_tag const &tag, PreconditionerT const &precond)
template<typename IndexT , typename NumericT , typename PreconditionerT >
std::vector< NumericT >	viennacl::linalg::solve (std::vector< std::map< IndexT, NumericT > > const &A, std::vector< NumericT > const &rhs, gmres_tag const &tag, PreconditionerT const &precond)
	Convenience overload for calling the preconditioned BiCGStab solver using types from the C++ STL. More...
template<typename MatrixT , typename VectorT >
VectorT	viennacl::linalg::solve (MatrixT const &A, VectorT const &rhs, gmres_tag const &tag)
	Entry point for the unpreconditioned GMRES method. More...

Detailed Description

Implementations of the generalized minimum residual method are in this file.

Definition in file gmres.hpp.