qr-method.hpp File Reference

Implementation of the QR method for eigenvalue computations. Experimental. More...

#include "viennacl/vector.hpp"
#include "viennacl/matrix.hpp"
#include "viennacl/linalg/qr-method-common.hpp"
#include "viennacl/linalg/tql2.hpp"
#include "viennacl/linalg/prod.hpp"
#include <boost/numeric/ublas/vector.hpp>
#include <boost/numeric/ublas/matrix.hpp>

Go to the source code of this file.

Classes
class	viennacl::linalg::detail::FastMatrix< SCALARTYPE >
	Internal helper class representing a row-major dense matrix used for the QR method for the purpose of computing eigenvalues. More...

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 SCALARTYPE >
void	viennacl::linalg::detail::final_iter_update_gpu (matrix_base< SCALARTYPE > &A, int n, int last_n, SCALARTYPE q, SCALARTYPE p)
template<typename SCALARTYPE , typename VectorType >
void	viennacl::linalg::detail::update_float_QR_column_gpu (matrix_base< SCALARTYPE > &A, const VectorType &buf, viennacl::vector< SCALARTYPE > &buf_vcl, int m, int n, int last_n, bool)
template<typename SCALARTYPE , typename MatrixT >
void	viennacl::linalg::detail::final_iter_update (MatrixT &A, int n, int last_n, SCALARTYPE q, SCALARTYPE p)
template<typename SCALARTYPE , typename MatrixT >
void	viennacl::linalg::detail::update_float_QR_column (MatrixT &A, const std::vector< SCALARTYPE > &buf, int m, int n, int last_i, bool is_triangular)
template<typename SCALARTYPE , typename VectorType >
void	viennacl::linalg::detail::hqr2 (viennacl::matrix< SCALARTYPE > &vcl_H, viennacl::matrix< SCALARTYPE > &V, VectorType &d, VectorType &e)
template<typename SCALARTYPE >
bool	viennacl::linalg::detail::householder_twoside (matrix_base< SCALARTYPE > &A, matrix_base< SCALARTYPE > &Q, vector_base< SCALARTYPE > &D, vcl_size_t start)
template<typename SCALARTYPE >
void	viennacl::linalg::detail::tridiagonal_reduction (matrix_base< SCALARTYPE > &A, matrix_base< SCALARTYPE > &Q)
template<typename SCALARTYPE >
void	viennacl::linalg::detail::qr_method (viennacl::matrix< SCALARTYPE > &A, viennacl::matrix< SCALARTYPE > &Q, std::vector< SCALARTYPE > &D, std::vector< SCALARTYPE > &E, bool is_symmetric=true)
template<typename SCALARTYPE >
void	viennacl::linalg::qr_method_nsm (viennacl::matrix< SCALARTYPE > &A, viennacl::matrix< SCALARTYPE > &Q, std::vector< SCALARTYPE > &D, std::vector< SCALARTYPE > &E)
template<typename SCALARTYPE >
void	viennacl::linalg::qr_method_sym (viennacl::matrix< SCALARTYPE > &A, viennacl::matrix< SCALARTYPE > &Q, std::vector< SCALARTYPE > &D)
template<typename SCALARTYPE >
void	viennacl::linalg::qr_method_sym (viennacl::matrix< SCALARTYPE > &A, viennacl::matrix< SCALARTYPE > &Q, viennacl::vector_base< SCALARTYPE > &D)

Detailed Description

Implementation of the QR method for eigenvalue computations. Experimental.

Definition in file qr-method.hpp.