table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/csyconvf_rook.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/csyconvf_rook.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/csyconvf_rook.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CSYCONVF_ROOK (uplo, way, n, a, lda, e, ipiv,
info)
CSYCONVF_ROOK
Function/Subroutine Documentation¶
subroutine CSYCONVF_ROOK (character uplo, character way, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) e, integer, dimension( * ) ipiv, integer info)¶
CSYCONVF_ROOK
Purpose:
!> If parameter WAY = 'C': !> CSYCONVF_ROOK converts the factorization output format used in !> CSYTRF_ROOK provided on entry in parameter A into the factorization !> output format used in CSYTRF_RK (or CSYTRF_BK) that is stored !> on exit in parameters A and E. IPIV format for CSYTRF_ROOK and !> CSYTRF_RK (or CSYTRF_BK) is the same and is not converted. !> !> If parameter WAY = 'R': !> CSYCONVF_ROOK performs the conversion in reverse direction, i.e. !> converts the factorization output format used in CSYTRF_RK !> (or CSYTRF_BK) provided on entry in parameters A and E into !> the factorization output format used in CSYTRF_ROOK that is stored !> on exit in parameter A. IPIV format for CSYTRF_ROOK and !> CSYTRF_RK (or CSYTRF_BK) is the same and is not converted. !> !> CSYCONVF_ROOK can also convert in Hermitian matrix case, i.e. between !> formats used in CHETRF_ROOK and CHETRF_RK (or CHETRF_BK). !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> Specifies whether the details of the factorization are !> stored as an upper or lower triangular matrix A. !> = 'U': Upper triangular !> = 'L': Lower triangular !>
WAY
!> WAY is CHARACTER*1 !> = 'C': Convert !> = 'R': Revert !>
N
!> N is INTEGER !> The order of the matrix A. N >= 0. !>
A
!> A is COMPLEX array, dimension (LDA,N) !> !> 1) If WAY ='C': !> !> On entry, contains factorization details in format used in !> CSYTRF_ROOK: !> a) all elements of the symmetric block diagonal !> matrix D on the diagonal of A and on superdiagonal !> (or subdiagonal) of A, and !> b) If UPLO = 'U': multipliers used to obtain factor U !> in the superdiagonal part of A. !> If UPLO = 'L': multipliers used to obtain factor L !> in the superdiagonal part of A. !> !> On exit, contains factorization details in format used in !> CSYTRF_RK or CSYTRF_BK: !> a) ONLY diagonal elements of the symmetric block diagonal !> matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); !> (superdiagonal (or subdiagonal) elements of D !> are stored on exit in array E), and !> b) If UPLO = 'U': factor U in the superdiagonal part of A. !> If UPLO = 'L': factor L in the subdiagonal part of A. !> !> 2) If WAY = 'R': !> !> On entry, contains factorization details in format used in !> CSYTRF_RK or CSYTRF_BK: !> a) ONLY diagonal elements of the symmetric block diagonal !> matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); !> (superdiagonal (or subdiagonal) elements of D !> are stored on exit in array E), and !> b) If UPLO = 'U': factor U in the superdiagonal part of A. !> If UPLO = 'L': factor L in the subdiagonal part of A. !> !> On exit, contains factorization details in format used in !> CSYTRF_ROOK: !> a) all elements of the symmetric block diagonal !> matrix D on the diagonal of A and on superdiagonal !> (or subdiagonal) of A, and !> b) If UPLO = 'U': multipliers used to obtain factor U !> in the superdiagonal part of A. !> If UPLO = 'L': multipliers used to obtain factor L !> in the superdiagonal part of A. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
E
!> E is COMPLEX array, dimension (N) !> !> 1) If WAY ='C': !> !> On entry, just a workspace. !> !> On exit, contains the superdiagonal (or subdiagonal) !> elements of the symmetric block diagonal matrix D !> with 1-by-1 or 2-by-2 diagonal blocks, where !> If UPLO = 'U': E(i) = D(i-1,i), i=2:N, E(1) is set to 0; !> If UPLO = 'L': E(i) = D(i+1,i), i=1:N-1, E(N) is set to 0. !> !> 2) If WAY = 'R': !> !> On entry, contains the superdiagonal (or subdiagonal) !> elements of the symmetric block diagonal matrix D !> with 1-by-1 or 2-by-2 diagonal blocks, where !> If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; !> If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced. !> !> On exit, is not changed !>
IPIV
!> IPIV is INTEGER array, dimension (N) !> On entry, details of the interchanges and the block !> structure of D as determined: !> 1) by CSYTRF_ROOK, if WAY ='C'; !> 2) by CSYTRF_RK (or CSYTRF_BK), if WAY ='R'. !> The IPIV format is the same for all these routines. !> !> On exit, is not changed. !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Contributors:
!> !> November 2017, Igor Kozachenko, !> Computer Science Division, !> University of California, Berkeley !> !>
Definition at line 199 of file csyconvf_rook.f.
Author¶
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