fortran-lapack
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la_lapack::lasyf_rook Interface Reference

LASYF_ROOK: 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_ROOK is an auxiliary routine called by CSYTRF_ROOK. 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_rook (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_clasyf_rook
 
pure subroutine dlasyf_rook (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_dlasyf_rook
 
 la_qlasyf_rook
 
pure subroutine slasyf_rook (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_slasyf_rook
 
 la_wlasyf_rook
 
pure subroutine zlasyf_rook (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info)
 
 la_zlasyf_rook
 

Detailed Description

LASYF_ROOK: 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_ROOK is an auxiliary routine called by CSYTRF_ROOK. 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_rook()

pure subroutine la_lapack::lasyf_rook::clasyf_rook ( 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_rook()

pure subroutine la_lapack::lasyf_rook::dlasyf_rook ( 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_rook()

la_lapack::lasyf_rook::la_clasyf_rook

◆ la_dlasyf_rook()

la_lapack::lasyf_rook::la_dlasyf_rook

◆ la_qlasyf_rook()

la_lapack::lasyf_rook::la_qlasyf_rook

◆ la_slasyf_rook()

la_lapack::lasyf_rook::la_slasyf_rook

◆ la_wlasyf_rook()

la_lapack::lasyf_rook::la_wlasyf_rook

◆ la_zlasyf_rook()

la_lapack::lasyf_rook::la_zlasyf_rook

◆ slasyf_rook()

pure subroutine la_lapack::lasyf_rook::slasyf_rook ( 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_rook()

pure subroutine la_lapack::lasyf_rook::zlasyf_rook ( 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: