la_lapack::latrd Interface Reference

LATRD: reduces NB rows and columns of a complex Hermitian matrix A to Hermitian tridiagonal form by a unitary similarity transformation Q**H * A * Q, and returns the matrices V and W which are needed to apply the transformation to the unreduced part of A. If UPLO = 'U', LATRD reduces the last NB rows and columns of a matrix, of which the upper triangle is supplied; if UPLO = 'L', LATRD reduces the first NB rows and columns of a matrix, of which the lower triangle is supplied. This is an auxiliary routine called by CHETRD. More...

Public Member Functions
pure subroutine	clatrd (uplo, n, nb, a, lda, e, tau, w, ldw)
	la_clatrd
pure subroutine	dlatrd (uplo, n, nb, a, lda, e, tau, w, ldw)
	la_dlatrd
	la_qlatrd
pure subroutine	slatrd (uplo, n, nb, a, lda, e, tau, w, ldw)
	la_slatrd
	la_wlatrd
pure subroutine	zlatrd (uplo, n, nb, a, lda, e, tau, w, ldw)
	la_zlatrd

Detailed Description

LATRD: reduces NB rows and columns of a complex Hermitian matrix A to Hermitian tridiagonal form by a unitary similarity transformation Q**H * A * Q, and returns the matrices V and W which are needed to apply the transformation to the unreduced part of A. If UPLO = 'U', LATRD reduces the last NB rows and columns of a matrix, of which the upper triangle is supplied; if UPLO = 'L', LATRD reduces the first NB rows and columns of a matrix, of which the lower triangle is supplied. This is an auxiliary routine called by CHETRD.

Member Function/Subroutine Documentation

clatrd()

pure subroutine la_lapack::latrd::clatrd	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nb,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(out)	e,
		complex(sp), dimension(*), intent(out)	tau,
		complex(sp), dimension(ldw,*), intent(out)	w,
		integer(ilp), intent(in)	ldw
	)

dlatrd()

pure subroutine la_lapack::latrd::dlatrd	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nb,
		real(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(out)	e,
		real(dp), dimension(*), intent(out)	tau,
		real(dp), dimension(ldw,*), intent(out)	w,
		integer(ilp), intent(in)	ldw
	)

la_clatrd()

la_lapack::latrd::la_clatrd

la_dlatrd()

la_lapack::latrd::la_dlatrd

la_qlatrd()

la_lapack::latrd::la_qlatrd

la_slatrd()

la_lapack::latrd::la_slatrd

la_wlatrd()

la_lapack::latrd::la_wlatrd

la_zlatrd()

la_lapack::latrd::la_zlatrd

slatrd()

pure subroutine la_lapack::latrd::slatrd	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nb,
		real(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(sp), dimension(*), intent(out)	e,
		real(sp), dimension(*), intent(out)	tau,
		real(sp), dimension(ldw,*), intent(out)	w,
		integer(ilp), intent(in)	ldw
	)

zlatrd()

pure subroutine la_lapack::latrd::zlatrd	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nb,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		real(dp), dimension(*), intent(out)	e,
		complex(dp), dimension(*), intent(out)	tau,
		complex(dp), dimension(ldw,*), intent(out)	w,
		integer(ilp), intent(in)	ldw
	)

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The documentation for this interface was generated from the following file:

• la_lapack.f90