lanczos.hpp File Reference

Generic interface for the Lanczos algorithm. More...

#include <cmath>
#include <vector>
#include "viennacl/vector.hpp"
#include "viennacl/compressed_matrix.hpp"
#include "viennacl/linalg/prod.hpp"
#include "viennacl/linalg/inner_prod.hpp"
#include "viennacl/linalg/norm_2.hpp"
#include "viennacl/io/matrix_market.hpp"
#include "viennacl/linalg/bisect.hpp"
#include "viennacl/tools/random.hpp"

Go to the source code of this file.

Classes
class	viennacl::linalg::lanczos_tag
	A tag for the lanczos algorithm. 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 NumericT >
void	viennacl::linalg::detail::inverse_iteration (std::vector< NumericT > const &alphas, std::vector< NumericT > const &betas, NumericT &eigenvalue, std::vector< NumericT > &eigenvector)
	Inverse iteration for finding an eigenvector for an eigenvalue. More...
template<typename MatrixT , typename DenseMatrixT , typename NumericT >
std::vector< NumericT >	viennacl::linalg::detail::lanczosPRO (MatrixT const &A, vector_base< NumericT > &r, DenseMatrixT &eigenvectors_A, vcl_size_t size, lanczos_tag const &tag, bool compute_eigenvectors)
	Implementation of the Lanczos PRO algorithm (partial reorthogonalization) More...
template<typename MatrixT , typename DenseMatrixT , typename NumericT >
std::vector< NumericT >	viennacl::linalg::detail::lanczos (MatrixT const &A, vector_base< NumericT > &r, DenseMatrixT &eigenvectors_A, vcl_size_t krylov_dim, lanczos_tag const &tag, bool compute_eigenvectors)
	Implementation of the Lanczos FRO algorithm. More...
template<typename MatrixT , typename DenseMatrixT >
std::vector< typename viennacl::result_of::cpu_value_type< typename MatrixT::value_type >::type >	viennacl::linalg::eig (MatrixT const &matrix, DenseMatrixT &eigenvectors_A, lanczos_tag const &tag, bool compute_eigenvectors=true)
	Implementation of the calculation of eigenvalues using lanczos (with and without reorthogonalization). More...
template<typename MatrixT >
std::vector< typename viennacl::result_of::cpu_value_type< typename MatrixT::value_type >::type >	viennacl::linalg::eig (MatrixT const &matrix, lanczos_tag const &tag)
	Implementation of the calculation of eigenvalues using lanczos (with and without reorthogonalization). More...

Detailed Description

Generic interface for the Lanczos algorithm.

Contributed by Guenther Mader and Astrid Rupp.

Definition in file lanczos.hpp.