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la_lapack::lasyf_rk Interface Reference

LASYF_RK: computes a partial factorization of a complex symmetric 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**T U22**T ) A = ( L11 0 ) ( D 0 ) ( L11**T L21**T ) 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. LASYF_RK is an auxiliary routine called by CSYTRF_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 clasyf_rk (uplo, n, nb, kb, a, lda, e, ipiv, w, ldw, info)
 
 la_clasyf_rk
 
pure subroutine dlasyf_rk (uplo, n, nb, kb, a, lda, e, ipiv, w, ldw, info)
 
 la_dlasyf_rk
 
 la_qlasyf_rk
 
pure subroutine slasyf_rk (uplo, n, nb, kb, a, lda, e, ipiv, w, ldw, info)
 
 la_slasyf_rk
 
 la_wlasyf_rk
 
pure subroutine zlasyf_rk (uplo, n, nb, kb, a, lda, e, ipiv, w, ldw, info)
 
 la_zlasyf_rk
 

Detailed Description

LASYF_RK: computes a partial factorization of a complex symmetric 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**T U22**T ) A = ( L11 0 ) ( D 0 ) ( L11**T L21**T ) 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. LASYF_RK is an auxiliary routine called by CSYTRF_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

◆ clasyf_rk()

pure subroutine la_lapack::lasyf_rk::clasyf_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 )

◆ dlasyf_rk()

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

◆ la_clasyf_rk()

la_lapack::lasyf_rk::la_clasyf_rk

◆ la_dlasyf_rk()

la_lapack::lasyf_rk::la_dlasyf_rk

◆ la_qlasyf_rk()

la_lapack::lasyf_rk::la_qlasyf_rk

◆ la_slasyf_rk()

la_lapack::lasyf_rk::la_slasyf_rk

◆ la_wlasyf_rk()

la_lapack::lasyf_rk::la_wlasyf_rk

◆ la_zlasyf_rk()

la_lapack::lasyf_rk::la_zlasyf_rk

◆ slasyf_rk()

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

◆ zlasyf_rk()

pure subroutine la_lapack::lasyf_rk::zlasyf_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: