decomposition.hpp File Reference

Standard implementation of the decompositions. More...

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Functions
template<typename AT , typename LT , typename UT , typename PT >
void	etl::impl::standard::lu (const AT &A, LT &L, UT &U, PT &P)
	Performs the PA=LU decomposition of the matrix A. More...
template<typename AT , typename QT , typename RT >
void	etl::impl::standard::householder (AT &A, QT &Q, RT &R)
	Use the householder algorithm to perform the A=QR decomposition of the matrix A. More...
template<typename AT , typename QT , typename RT >
void	etl::impl::standard::qr (AT &A, QT &Q, RT &R)
	Performs the A=QR decomposition of the matrix A. More...

Detailed Description

Standard implementation of the decompositions.

Function Documentation

householder()

template<typename AT , typename QT , typename RT >

void etl::impl::standard::householder	(	AT &	A,
		QT &	Q,
		RT &	R
	)

Use the householder algorithm to perform the A=QR decomposition of the matrix A.

Parameters

A	The matrix to decompose
Q	The resulting Q matrix
R	The resulting R matrix

lu()

template<typename AT , typename LT , typename UT , typename PT >

void etl::impl::standard::lu	(	const AT &	A,
		LT &	L,
		UT &	U,
		PT &	P
	)

Performs the PA=LU decomposition of the matrix A.

Parameters

A	The matrix to decompose
L	The resulting L matrix
U	The resulting U matrix
P	The resulting P matrix

qr()

template<typename AT , typename QT , typename RT >

void etl::impl::standard::qr	(	AT &	A,
		QT &	Q,
		RT &	R
	)

Performs the A=QR decomposition of the matrix A.

Parameters

A	The matrix to decompose
Q	The resulting Q matrix
R	The resulting R matrix