multishift_qr.hpp File Reference

#include "tlapack/base/utils.hpp"
#include "tlapack/lapack/FrancisOpts.hpp"
#include "tlapack/lapack/aggressive_early_deflation.hpp"
#include "tlapack/lapack/multishift_qr_sweep.hpp"

Include dependency graph for multishift_qr.hpp:

This graph shows which files directly or indirectly include this file:

Go to the source code of this file.

Namespaces
namespace	tlapack
	Sort the numbers in D in increasing order (if ID = 'I') or in decreasing order (if ID = 'D' ).

Functions
template<TLAPACK_MATRIX matrix_t, TLAPACK_VECTOR vector_t, enable_if_t< is_complex< type_t< vector_t > >, int > = 0>
int	tlapack::multishift_qr (bool want_t, bool want_z, size_type< matrix_t > ilo, size_type< matrix_t > ihi, matrix_t &A, vector_t &w, matrix_t &Z)
template<TLAPACK_SMATRIX matrix_t, TLAPACK_SVECTOR vector_t, enable_if_t< is_complex< type_t< vector_t > >, int > = 0>
int	tlapack::multishift_qr (bool want_t, bool want_z, size_type< matrix_t > ilo, size_type< matrix_t > ihi, matrix_t &A, vector_t &w, matrix_t &Z, FrancisOpts &opts)
	multishift_qr computes the eigenvalues and optionally the Schur factorization of an upper Hessenberg matrix, using the multishift implicit QR algorithm with AED.
template<TLAPACK_MATRIX matrix_t, TLAPACK_VECTOR vector_t, TLAPACK_WORKSPACE work_t, enable_if_t< is_complex< type_t< vector_t > >, int > = 0>
int	tlapack::multishift_qr_work (bool want_t, bool want_z, size_type< matrix_t > ilo, size_type< matrix_t > ihi, matrix_t &A, vector_t &w, matrix_t &Z, work_t &work)
template<TLAPACK_SMATRIX matrix_t, TLAPACK_SVECTOR vector_t, TLAPACK_WORKSPACE work_t, enable_if_t< is_complex< type_t< vector_t > >, int > = 0>
int	tlapack::multishift_qr_work (bool want_t, bool want_z, size_type< matrix_t > ilo, size_type< matrix_t > ihi, matrix_t &A, vector_t &w, matrix_t &Z, work_t &work, FrancisOpts &opts)
	multishift_qr computes the eigenvalues and optionally the Schur factorization of an upper Hessenberg matrix, using the multishift implicit QR algorithm with AED. Workspace is provided as an argument.
template<class T , TLAPACK_SMATRIX matrix_t, TLAPACK_SVECTOR vector_t, enable_if_t< is_complex< type_t< vector_t > >, int > = 0>
WorkInfo	tlapack::multishift_qr_worksize (bool want_t, bool want_z, size_type< matrix_t > ilo, size_type< matrix_t > ihi, const matrix_t &A, const vector_t &w, const matrix_t &Z, const FrancisOpts &opts)
	Worspace query of multishift_qr()
template<class T , TLAPACK_SMATRIX matrix_t, TLAPACK_SVECTOR vector_t, enable_if_t< is_complex< type_t< vector_t > >, int > = 0>
constexpr WorkInfo	tlapack::multishift_qr_worksize_sweep (bool want_t, bool want_z, size_type< matrix_t > ilo, size_type< matrix_t > ihi, const matrix_t &A, const vector_t &w, const matrix_t &Z, const FrancisOpts &opts={})

Detailed Description

Author

Thijs Steel, KU Leuven, Belgium Adapted from

See also

https://github.com/Reference-LAPACK/lapack/tree/master/SRC/dlaqr0.f