lapack.h File Reference

Classes
struct	lapack_syev_dispatch< T >
struct	lapack_syev_dispatch< double >
struct	lapack_syev_dispatch< float >
struct	lapack_sbev_dispatch< T >
struct	lapack_sbev_dispatch< double >
struct	lapack_sbev_dispatch< float >

Functions
template<typename T >
bool	lapack_gesv (MArray< T, 2 > &A, MArray< T, 1 > &b)
template<typename T >
bool	lapack_gesv (MArray< T, 2 > &A, MArray< T, 2 > &B)
template<typename T >
bool	lapack_syev (const MArray< T, 2 > &A, MArray< T, 1 > &val, MArray< T, 2 > &vec)
template<typename T >
bool	lapack_sbev (const MArray< T, 2 > &AB, MArray< T, 1 > &val, MArray< T, 2 > &vec)

Function Documentation

template<typename T >

bool lapack_gesv	(	MArray< T, 2 > &	A,
		MArray< T, 1 > &	b
	)

GESV computes the solution to a system of linear equations A * x = b, where A is an N-by-N matrix and x and b are N-vectors.

LU decomposition with partial pivoting and row interchanges is used to factor A as A = P * L * U, where P is a permutation matrix, L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * x = b.

The matrix A is replaced by L and U. The vector b is unchanged. The vector b is overwritten with the solution of Ax=b.

template<typename T >

bool lapack_gesv	(	MArray< T, 2 > &	A,
		MArray< T, 2 > &	B
	)

GESV computes the solution to Nrhs systems of linear equations A * X = B, where A is an N-by-N matrix and X and B are N x Nrhs-matrices.

LU decomposition with partial pivoting and row interchanges is used to factor A as A = P * L * U, where P is a permutation matrix, L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * x = b.

The matrix A is replaced by L and U. The Matrix B is overwritten with the solutions of A x_i = b_i, where x_i and b_i are the column vectors of X and B

template<typename T >

bool lapack_syev	(	const MArray< T, 2 > &	A,
		MArray< T, 1 > &	val,
		MArray< T, 2 > &	vec
	)

Purpose

SYEV computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A.

References lapack_syev_dispatch< T >::call().

template<typename T >

bool lapack_sbev	(	const MArray< T, 2 > &	AB,
		MArray< T, 1 > &	val,
		MArray< T, 2 > &	vec
	)

Purpose

SYEV computes all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A in banded storage (assuming superdiagonals are stored.

References lapack_sbev_dispatch< T >::call().