LAHEF_ROOK: 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. Note that U**H denotes the conjugate transpose of U. LAHEF_ROOK is an auxiliary routine called by CHETRF_ROOK. It uses blocked code (calling Level 3 BLAS) to update the submatrix A11 (if UPLO = 'U') or A22 (if UPLO = 'L').
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| pure subroutine | clahef_rook (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info) |
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| | la_clahef_rook |
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| | la_wlahef_rook |
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| pure subroutine | zlahef_rook (uplo, n, nb, kb, a, lda, ipiv, w, ldw, info) |
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| | la_zlahef_rook |
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LAHEF_ROOK: 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. Note that U**H denotes the conjugate transpose of U. LAHEF_ROOK is an auxiliary routine called by CHETRF_ROOK. It uses blocked code (calling Level 3 BLAS) to update the submatrix A11 (if UPLO = 'U') or A22 (if UPLO = 'L').
◆ clahef_rook()
| pure subroutine la_lapack::lahef_rook::clahef_rook |
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character, intent(in) |
uplo, |
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integer(ilp), intent(in) |
n, |
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integer(ilp), intent(in) |
nb, |
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integer(ilp), intent(out) |
kb, |
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complex(sp), dimension(lda,*), intent(inout) |
a, |
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integer(ilp), intent(in) |
lda, |
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integer(ilp), dimension(*), intent(out) |
ipiv, |
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complex(sp), dimension(ldw,*), intent(out) |
w, |
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integer(ilp), intent(in) |
ldw, |
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integer(ilp), intent(out) |
info |
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◆ la_clahef_rook()
| la_lapack::lahef_rook::la_clahef_rook |
◆ la_wlahef_rook()
| la_lapack::lahef_rook::la_wlahef_rook |
◆ la_zlahef_rook()
| la_lapack::lahef_rook::la_zlahef_rook |
◆ zlahef_rook()
| pure subroutine la_lapack::lahef_rook::zlahef_rook |
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character, intent(in) |
uplo, |
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integer(ilp), intent(in) |
n, |
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integer(ilp), intent(in) |
nb, |
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integer(ilp), intent(out) |
kb, |
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complex(dp), dimension(lda,*), intent(inout) |
a, |
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integer(ilp), intent(in) |
lda, |
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integer(ilp), dimension(*), intent(out) |
ipiv, |
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complex(dp), dimension(ldw,*), intent(out) |
w, |
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integer(ilp), intent(in) |
ldw, |
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integer(ilp), intent(out) |
info |
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The documentation for this interface was generated from the following file:
1.9.8