LAHEF_RK: computes a partial factorization of a complex Hermitian matrix A using the bounded Bunch-Kaufman (rook) diagonal pivoting method. The partial factorization has the form: A = ( I U12 ) ( A11 0 ) ( I 0 ) if UPLO = 'U', or: ( 0 U22 ) ( 0 D ) ( U12**H U22**H ) A = ( L11 0 ) ( D 0 ) ( L11**H L21**H ) if UPLO = 'L', ( L21 I ) ( 0 A22 ) ( 0 I ) where the order of D is at most NB. The actual order is returned in the argument KB, and is either NB or NB-1, or N if N <= NB. LAHEF_RK is an auxiliary routine called by CHETRF_RK. It uses blocked code (calling Level 3 BLAS) to update the submatrix A11 (if UPLO = 'U') or A22 (if UPLO = 'L'). More...

Public Member Functions
pure subroutine	clahef_rk (uplo, n, nb, kb, a, lda, e, ipiv, w, ldw, info)

	la_clahef_rk

	la_wlahef_rk

pure subroutine	zlahef_rk (uplo, n, nb, kb, a, lda, e, ipiv, w, ldw, info)

	la_zlahef_rk

Detailed Description

LAHEF_RK: computes a partial factorization of a complex Hermitian matrix A using the bounded Bunch-Kaufman (rook) diagonal pivoting method. The partial factorization has the form: A = ( I U12 ) ( A11 0 ) ( I 0 ) if UPLO = 'U', or: ( 0 U22 ) ( 0 D ) ( U12**H U22**H ) A = ( L11 0 ) ( D 0 ) ( L11**H L21**H ) if UPLO = 'L', ( L21 I ) ( 0 A22 ) ( 0 I ) where the order of D is at most NB. The actual order is returned in the argument KB, and is either NB or NB-1, or N if N <= NB. LAHEF_RK is an auxiliary routine called by CHETRF_RK. It uses blocked code (calling Level 3 BLAS) to update the submatrix A11 (if UPLO = 'U') or A22 (if UPLO = 'L').

Member Function/Subroutine Documentation

◆ clahef_rk()

pure subroutine la_lapack::lahef_rk::clahef_rk	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nb,
		integer(ilp), intent(out)	kb,
		complex(sp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(sp), dimension(*), intent(out)	e,
		integer(ilp), dimension(*), intent(out)	ipiv,
		complex(sp), dimension(ldw,*), intent(out)	w,
		integer(ilp), intent(in)	ldw,
		integer(ilp), intent(out)	info
	)

◆ la_clahef_rk()

la_lapack::lahef_rk::la_clahef_rk

◆ la_wlahef_rk()

la_lapack::lahef_rk::la_wlahef_rk

◆ la_zlahef_rk()

la_lapack::lahef_rk::la_zlahef_rk

◆ zlahef_rk()

pure subroutine la_lapack::lahef_rk::zlahef_rk	(	character, intent(in)	uplo,
		integer(ilp), intent(in)	n,
		integer(ilp), intent(in)	nb,
		integer(ilp), intent(out)	kb,
		complex(dp), dimension(lda,*), intent(inout)	a,
		integer(ilp), intent(in)	lda,
		complex(dp), dimension(*), intent(out)	e,
		integer(ilp), dimension(*), intent(out)	ipiv,
		complex(dp), dimension(ldw,*), intent(out)	w,
		integer(ilp), intent(in)	ldw,
		integer(ilp), intent(out)	info
	)

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

la_lapack.f90