lapack.h File Reference

Lapack interface for TBCI NumLib. More...

#include "tbci/basics.h"
#include "tbci/cplx.h"
#include "tbci/vector.h"
#include "tbci/f_matrix.h"
#include "tbci/f_bandmatrix.h"

Include dependency graph for lapack.h:

Go to the source code of this file.

Functions
F_TMatrix< double >	inv (const F_Matrix< double > &A, int overwriteA=0)
F_TMatrix< double >	lu_solve (const F_Matrix< double > &A, const F_Matrix< double > &B, int overwriteA=0)
TVector< double >	lu_solve (const F_Matrix< double > &A, const Vector< double > &B, int overwriteA=0)
TVector< double >	lu_solve (const F_BandMatrix< double > &A, const Vector< double > &B)
TVector< double >	lu_solve_expert (const F_BandMatrix< double > &A, const Vector< double > &B, int equilibrate=1)
	Solution of linear eqution systems, partial pivoting. More...
TVector< double >	lu_solve (F_BandMatrix< double > &A, const Vector< double > &B, int num_lower, int num_upper)
F_TMatrix< COMPLEX_DOUBLE >	inv (const F_Matrix< COMPLEX_DOUBLE > &A, int overwriteA=0)
F_TMatrix< COMPLEX_DOUBLE >	lu_solve (const F_Matrix< COMPLEX_DOUBLE > &A, const F_Matrix< COMPLEX_DOUBLE > &B, int overwriteA=0)
int	eig (const F_Matrix< double > &A, Vector< double > &EW)
	eigenvalues (and eigenvectors) A*EV=EW*EV of symmetric double Matrix A More...
int	eig (const F_Matrix< double > &A, Vector< double > &EW, F_Matrix< double > &EV)
int	eig (const F_BandMatrix< double > &A, Vector< double > &EW, F_Matrix< double > &EV)
int	eig (const F_BandMatrix< double > &A, Vector< double > &EW, F_Matrix< double > &EV, double ew_min, double ew_max)
int	eig (F_Matrix< cplx< double > > A, Vector< double > &EW)
int	eig (const F_Matrix< cplx< double > > &A, Vector< double > &EW, F_Matrix< cplx< double > > &EVec)
	complex hermitean More...
int	eig (const F_Matrix< COMPLEX_DOUBLE > &A, Vector< COMPLEX_DOUBLE > &EW)
int	eig (const F_Matrix< COMPLEX_DOUBLE > &A, Vector< COMPLEX_DOUBLE > &EW, F_Matrix< COMPLEX_DOUBLE > &EV)
int	eig (const F_BandMatrix< cplx< double > > &A, const F_BandMatrix< cplx< double > > &B, double EW_min, double EW_max, Vector< double > &Eigenwerte, F_Matrix< cplx< double > > &Eigenvectoren)
	selected eigenvalues -vectors: A*EV=EW*B*EV of hermitean Matrix A, positive definite Matrix B More...

Variables
NAMESPACE_TBCI typedef cplx < double >	COMPLEX_DOUBLE

Detailed Description

Lapack interface for TBCI NumLib.

Definition in file lapack.h.

Function Documentation

int eig	(	const F_Matrix< double > &	A,
		Vector< double > &	EW
	)

eigenvalues (and eigenvectors) A*EV=EW*EV of symmetric double Matrix A

Definition at line 263 of file lapack.cpp.

int eig	(	const F_Matrix< double > &	A,
		Vector< double > &	EW,
		F_Matrix< double > &	EV
	)

Definition at line 279 of file lapack.cpp.

int eig	(	const F_BandMatrix< double > &	A,
		Vector< double > &	EW,
		F_Matrix< double > &	EV
	)

Definition at line 296 of file lapack.cpp.

int eig	(	const F_BandMatrix< double > &	A,
		Vector< double > &	EW,
		F_Matrix< double > &	EV,
		double	ew_min,
		double	ew_max
	)

Definition at line 320 of file lapack.cpp.

int eig	(	F_Matrix< cplx< double > >	A,
		Vector< double > &	EW
	)

Definition at line 567 of file lapack.cpp.

References BVector< T >::get_fortran_vector(), STD__, and zheev_().

int eig	(	const F_Matrix< cplx< double > > &	A,
		Vector< double > &	EW,
		F_Matrix< cplx< double > > &	EVec
	)

complex hermitean

Definition at line 539 of file lapack.cpp.

References BVector< T >::get_fortran_vector(), STD__, and zheev_().

int eig	(	const F_Matrix< COMPLEX_DOUBLE > &	A,
		Vector< COMPLEX_DOUBLE > &	EW
	)

int eig	(	const F_Matrix< COMPLEX_DOUBLE > &	A,
		Vector< COMPLEX_DOUBLE > &	EW,
		F_Matrix< COMPLEX_DOUBLE > &	EV
	)

int eig	(	const F_BandMatrix< cplx< double > > &	A,
		const F_BandMatrix< cplx< double > > &	B,
		double	EW_min,
		double	EW_max,
		Vector< double > &	Eigenwerte,
		F_Matrix< cplx< double > > &	Eigenvectoren
	)

selected eigenvalues -vectors: A*EV=EW*B*EV of hermitean Matrix A, positive definite Matrix B

Definition at line 419 of file lapack.cpp.

References CPLX__, doublecomplex::i, i, std::imag(), own_ev_(), own_ew_(), doublecomplex::r, real, BVector< T >::resize(), STD__, x, and y.

F_TMatrix<double> inv	(	const F_Matrix< double > &	A,
		int	overwriteA = 0
	)

Definition at line 181 of file lapack.cpp.

Referenced by LU_invert().

F_TMatrix<COMPLEX_DOUBLE> inv	(	const F_Matrix< COMPLEX_DOUBLE > &	A,
		int	overwriteA = 0
	)

F_TMatrix<double> lu_solve	(	const F_Matrix< double > &	A,
		const F_Matrix< double > &	B,
		int	overwriteA = 0
	)

Definition at line 156 of file lapack.cpp.

Referenced by expm(), lu_solve(), and WEAK().

TVector<double> lu_solve	(	const F_Matrix< double > &	A,
		const Vector< double > &	B,
		int	overwriteA = 0
	)

Definition at line 129 of file lapack.cpp.

TVector<double> lu_solve	(	const F_BandMatrix< double > &	A,
		const Vector< double > &	B
	)

Definition at line 74 of file lapack.cpp.

TVector<double> lu_solve	(	F_BandMatrix< double > &	A,
		const Vector< double > &	B,
		int	num_lower,
		int	num_upper
	)

Definition at line 105 of file lapack.cpp.

F_TMatrix<COMPLEX_DOUBLE> lu_solve	(	const F_Matrix< COMPLEX_DOUBLE > &	A,
		const F_Matrix< COMPLEX_DOUBLE > &	B,
		int	overwriteA = 0
	)

TVector<double> lu_solve_expert	(	const F_BandMatrix< double > &	A,
		const Vector< double > &	B,
		int	equilibrate = 1
	)

Solution of linear eqution systems, partial pivoting.

Definition at line 24 of file lapack.cpp.

Variable Documentation

NAMESPACE_TBCI typedef cplx<double> COMPLEX_DOUBLE

Definition at line 18 of file lapack.h.