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la_lapack::lasyf Interface Reference

LASYF: computes a partial factorization of a complex symmetric matrix A using the Bunch-Kaufman 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. Note that U**T denotes the transpose of U. LASYF is an auxiliary routine called by CSYTRF. 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 (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_clasyf
 
pure subroutine dlasyf (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_dlasyf
 
 la_qlasyf
 
pure subroutine slasyf (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_slasyf
 
 la_wlasyf
 
pure subroutine zlasyf (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_zlasyf
 

Detailed Description

LASYF: computes a partial factorization of a complex symmetric matrix A using the Bunch-Kaufman 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. Note that U**T denotes the transpose of U. LASYF is an auxiliary routine called by CSYTRF. 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()

pure subroutine la_lapack::lasyf::clasyf ( 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,
integer(ilp), dimension(*), intent(out) ipiv,
complex(sp), dimension(ldw,*), intent(out) w,
integer(ilp), intent(in) ldw,
integer(ilp), intent(out) info )

◆ dlasyf()

pure subroutine la_lapack::lasyf::dlasyf ( 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,
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()

la_lapack::lasyf::la_clasyf

◆ la_dlasyf()

la_lapack::lasyf::la_dlasyf

◆ la_qlasyf()

la_lapack::lasyf::la_qlasyf

◆ la_slasyf()

la_lapack::lasyf::la_slasyf

◆ la_wlasyf()

la_lapack::lasyf::la_wlasyf

◆ la_zlasyf()

la_lapack::lasyf::la_zlasyf

◆ slasyf()

pure subroutine la_lapack::lasyf::slasyf ( 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,
integer(ilp), dimension(*), intent(out) ipiv,
real(sp), dimension(ldw,*), intent(out) w,
integer(ilp), intent(in) ldw,
integer(ilp), intent(out) info )

◆ zlasyf()

pure subroutine la_lapack::lasyf::zlasyf ( 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,
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: