Ensign::Matrix Namespace Reference

Dense matrix operations. More...

Classes
struct	blas_ops
	Provides matrix and vector operations with optional GPU execution. More...
struct	diagonalization
	Helper class to perform diagonalization of a symmetric matrix (also known as the Schur decomposition) Factorizes the matrix CC as follows CC = TT*diag(diag_r)*TT^T. More...
struct	lu_solver
	Linear solver based on a LU decomposition. More...

Functions
template<class T >
void	set_zero (multi_array< T, 2 > &a)
	Set matrix to zero.
template<class T >
void	set_identity (multi_array< T, 2 > &a)
	Set matrix to identity.
template<class T , size_t d>
void	set_const (multi_array< T, d > &a, T alpha)
	Set vector or matrix to a constant value.
template<class T >
void	ptw_mult_row (const multi_array< T, 2 > &a, const multi_array< T, 1 > &w, multi_array< T, 2 > &out)
	Multiply every row of a matrix with a vector (i.e.
template<class T >
void	transpose_inplace (multi_array< T, 2 > &a)
	Transpose a square matrix inplace (intended for small matrices)
template<class T >
void	svd (const multi_array< T, 2 > &input, multi_array< T, 2 > &U, multi_array< T, 2 > &V, multi_array< T, 1 > &sigma_diag, const blas_ops &blas)
	Computes the singular value decomposition of the matrix input.
template<class T >
void	qr (multi_array< T, 2 > &Q, multi_array< T, 2 > &R)

Detailed Description

Dense matrix operations.

Function Documentation

ptw_mult_row()

template<class T >

void Ensign::Matrix::ptw_mult_row	(	const multi_array< T, 2 > &	a,
		const multi_array< T, 1 > &	w,
		multi_array< T, 2 > &	out
	)

Multiply every row of a matrix with a vector (i.e.

diag(w)a)

qr()

template<class T >

void Ensign::Matrix::qr	(	multi_array< T, 2 > &	Q,
		multi_array< T, 2 > &	R
	)

set_const()

template<class T , size_t d>

void Ensign::Matrix::set_const	(	multi_array< T, d > &	a,
		T	alpha
	)

Set vector or matrix to a constant value.

set_identity()

template<class T >

void Ensign::Matrix::set_identity

(

multi_array< T, 2 > &

a

)

Set matrix to identity.

set_zero()

template<class T >

void Ensign::Matrix::set_zero

(

multi_array< T, 2 > &

a

)

Set matrix to zero.

svd()

template<class T >

void Ensign::Matrix::svd	(	const multi_array< T, 2 > &	input,
		multi_array< T, 2 > &	U,
		multi_array< T, 2 > &	V,
		multi_array< T, 1 > &	sigma_diag,
		const blas_ops &	blas
	)

Computes the singular value decomposition of the matrix input.

transpose_inplace()

template<class T >

void Ensign::Matrix::transpose_inplace

(

multi_array< T, 2 > &

a

)

Transpose a square matrix inplace (intended for small matrices)