ORMQR

Orthogonal Matrix. More...

Collaboration diagram for ORMQR:

Functions
template<typename T , size_t K, size_t M>
auto	tatooine::lapack::ormqr (tensor< T, M, K > &A, tensor< T, M > &c, tensor< T, K > &tau, side const s, op trans)
template<typename T , size_t K, size_t M, size_t N>
auto	tatooine::lapack::ormqr (tensor< T, M, K > &A, tensor< T, M, N > &C, tensor< T, K > &tau, side const s, op trans)
template<typename T >
auto	tatooine::lapack::ormqr (tensor< T > &A, tensor< T > &C, tensor< T > &tau, side const s, op trans)

Detailed Description

Orthogonal Matrix.

ORMQR overwrites the general real \(m\times n\) matrix \(\mC\) with

	side = L	side = R
trans = N:	\(\mQ\cdot\mC\)	\(\mC\cdot\mQ\)
trans = T:	\(\mQ^\top\cdot\mC\)	\(\mC\cdot\mQ^\top\)

where \(\mQ\) is a real orthogonal matrix defined as the product of \(k\) elementary reflectors

\(\mQ=\mH(1)\cdot\mH(2)\cdot\ldots\cdot\mH(k)\)

as returned by GEQRF. \(\mQ\) is of order \(m\) if side = L and of order \(n\) if side = R

• LAPACK documentation

Function Documentation

ormqr() [1/3]

template<typename T >

auto tatooine::lapack::ormqr	(	tensor< T > &	A,
		tensor< T > &	C,
		tensor< T > &	tau,
		side const	s,
		op	trans
	)

ormqr() [2/3]

template<typename T , size_t K, size_t M>

auto tatooine::lapack::ormqr	(	tensor< T, M, K > &	A,
		tensor< T, M > &	c,
		tensor< T, K > &	tau,
		side const	s,
		op	trans
	)

ormqr() [3/3]

template<typename T , size_t K, size_t M, size_t N>

auto tatooine::lapack::ormqr	(	tensor< T, M, K > &	A,
		tensor< T, M, N > &	C,
		tensor< T, K > &	tau,
		side const	s,
		op	trans
	)