/data/development/ViennaCL/dev/viennacl/linalg/direct_solve.hpp File Reference

Implementations of dense direct solvers are found here. More...

#include "viennacl/vector.hpp"
#include "viennacl/matrix.hpp"
#include "viennacl/tools/matrix_kernel_class_deducer.hpp"
#include "viennacl/tools/matrix_solve_kernel_class_deducer.hpp"
#include "viennacl/ocl/kernel.hpp"
#include "viennacl/ocl/device.hpp"
#include "viennacl/ocl/handle.hpp"

Go to the source code of this file.

Namespaces
namespace	viennacl
namespace	viennacl::linalg
Functions
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int A1, unsigned int A2, typename SOLVERTAG >
void	inplace_solve (const matrix< SCALARTYPE, F1, A1 > &mat, matrix< SCALARTYPE, F2, A2 > &B, SOLVERTAG)
	Direct inplace solver for dense upper triangular systems.
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int A1, unsigned int A2, typename SOLVERTAG >
void	inplace_solve (const matrix< SCALARTYPE, F1, A1 > &mat, const matrix_expression< const matrix< SCALARTYPE, F2, A2 >, const matrix< SCALARTYPE, F2, A2 >, op_trans > &B, SOLVERTAG)
	Direct inplace solver for dense upper triangular systems.
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int A1, unsigned int A2, typename SOLVERTAG >
void	inplace_solve (const matrix_expression< const matrix< SCALARTYPE, F1, A1 >, const matrix< SCALARTYPE, F1, A1 >, op_trans > &proxy, matrix< SCALARTYPE, F2, A2 > &B, SOLVERTAG)
	Direct inplace solver for dense upper triangular systems that stem from transposed lower triangular systems.
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int A1, unsigned int A2, typename SOLVERTAG >
void	inplace_solve (const matrix_expression< const matrix< SCALARTYPE, F1, A1 >, const matrix< SCALARTYPE, F1, A1 >, op_trans > &proxy, const matrix_expression< const matrix< SCALARTYPE, F2, A2 >, const matrix< SCALARTYPE, F2, A2 >, op_trans > &B, SOLVERTAG)
	Direct inplace solver for dense upper triangular systems that stem from transposed lower triangular systems.
template<typename SCALARTYPE , typename F , unsigned int ALIGNMENT, unsigned int VEC_ALIGNMENT, typename SOLVERTAG >
void	inplace_solve (const matrix< SCALARTYPE, F, ALIGNMENT > &mat, vector< SCALARTYPE, VEC_ALIGNMENT > &vec, SOLVERTAG)
template<typename SCALARTYPE , typename F , unsigned int ALIGNMENT, unsigned int VEC_ALIGNMENT, typename SOLVERTAG >
void	inplace_solve (const matrix_expression< const matrix< SCALARTYPE, F, ALIGNMENT >, const matrix< SCALARTYPE, F, ALIGNMENT >, op_trans > &proxy, vector< SCALARTYPE, VEC_ALIGNMENT > &vec, SOLVERTAG)
	Direct inplace solver for dense upper triangular systems that stem from transposed lower triangular systems.
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int ALIGNMENT_A, unsigned int ALIGNMENT_B, typename TAG >
matrix< SCALARTYPE, F2, ALIGNMENT_B >	solve (const matrix< SCALARTYPE, F1, ALIGNMENT_A > &A, const matrix< SCALARTYPE, F2, ALIGNMENT_B > &B, TAG const &tag)
	Convenience functions for C = solve(A, B, some_tag()); Creates a temporary result matrix and forwards the request to inplace_solve().
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int ALIGNMENT_A, unsigned int ALIGNMENT_B, typename TAG >
matrix< SCALARTYPE, F2, ALIGNMENT_B >	solve (const matrix< SCALARTYPE, F1, ALIGNMENT_A > &A, const matrix_expression< const matrix< SCALARTYPE, F2, ALIGNMENT_B >, const matrix< SCALARTYPE, F2, ALIGNMENT_B >, op_trans > &proxy, TAG const &tag)
	Convenience functions for C = solve(A, B^T, some_tag()); Creates a temporary result matrix and forwards the request to inplace_solve().
template<typename SCALARTYPE , typename F , unsigned int ALIGNMENT, unsigned int VEC_ALIGNMENT, typename TAG >
vector< SCALARTYPE, VEC_ALIGNMENT >	solve (const matrix< SCALARTYPE, F, ALIGNMENT > &mat, const vector< SCALARTYPE, VEC_ALIGNMENT > &vec, TAG const &tag)
	Convenience functions for result = solve(mat, vec, some_tag()); Creates a temporary result vector and forwards the request to inplace_solve().
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int ALIGNMENT_A, unsigned int ALIGNMENT_B, typename TAG >
matrix< SCALARTYPE, F2, ALIGNMENT_B >	solve (const matrix_expression< const matrix< SCALARTYPE, F1, ALIGNMENT_A >, const matrix< SCALARTYPE, F1, ALIGNMENT_A >, op_trans > &proxy, const matrix< SCALARTYPE, F2, ALIGNMENT_B > &B, TAG const &tag)
	Convenience functions for result = solve(trans(mat), B, some_tag()); Creates a temporary result matrix and forwards the request to inplace_solve().
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int ALIGNMENT_A, unsigned int ALIGNMENT_B, typename TAG >
matrix< SCALARTYPE, F2, ALIGNMENT_B >	solve (const matrix_expression< const matrix< SCALARTYPE, F1, ALIGNMENT_A >, const matrix< SCALARTYPE, F1, ALIGNMENT_A >, op_trans > &proxy_A, const matrix_expression< const matrix< SCALARTYPE, F2, ALIGNMENT_B >, const matrix< SCALARTYPE, F2, ALIGNMENT_B >, op_trans > &proxy_B, TAG const &tag)
	Convenience functions for result = solve(trans(mat), vec, some_tag()); Creates a temporary result vector and forwards the request to inplace_solve().
template<typename SCALARTYPE , typename F , unsigned int ALIGNMENT, unsigned int VEC_ALIGNMENT, typename TAG >
vector< SCALARTYPE, VEC_ALIGNMENT >	solve (const matrix_expression< const matrix< SCALARTYPE, F, ALIGNMENT >, const matrix< SCALARTYPE, F, ALIGNMENT >, op_trans > &proxy, const vector< SCALARTYPE, VEC_ALIGNMENT > &vec, TAG const &tag)
	Convenience functions for result = solve(trans(mat), vec, some_tag()); Creates a temporary result vector and forwards the request to inplace_solve().
template<typename SCALARTYPE , typename F , unsigned int ALIGNMENT>
void	lu_factorize (matrix< SCALARTYPE, F, ALIGNMENT > &mat)
	LU factorization of a dense matrix.
template<typename SCALARTYPE , typename F1 , typename F2 , unsigned int ALIGNMENT_A, unsigned int ALIGNMENT_B>
void	lu_substitute (matrix< SCALARTYPE, F1, ALIGNMENT_A > const &A, matrix< SCALARTYPE, F2, ALIGNMENT_B > &B)
	LU substitution for the system LU = rhs.
template<typename SCALARTYPE , typename F , unsigned int ALIGNMENT, unsigned int VEC_ALIGNMENT>
void	lu_substitute (matrix< SCALARTYPE, F, ALIGNMENT > const &mat, vector< SCALARTYPE, VEC_ALIGNMENT > &vec)
	LU substitution for the system LU = rhs.

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Detailed Description

Implementations of dense direct solvers are found here.