ViennaCL - The Vienna Computing Library: viennacl/linalg/qr-method.hpp File Reference

ViennaCL - The Vienna Computing Library 1.7.1 Free open-source GPU-accelerated linear algebra and solver library. |

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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.