table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zlavsy.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zlavsy.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/TESTING/LIN/zlavsy.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine ZLAVSY (uplo, trans, diag, n, nrhs, a, lda,
ipiv, b, ldb, info)
ZLAVSY
Function/Subroutine Documentation¶
subroutine ZLAVSY (character uplo, character trans, character diag, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb, integer info)¶
ZLAVSY
Purpose:
!> !> ZLAVSY performs one of the matrix-vector operations !> x := A*x or x := A'*x, !> where x is an N element vector and A is one of the factors !> from the block U*D*U' or L*D*L' factorization computed by ZSYTRF. !> !> If TRANS = 'N', multiplies by U or U * D (or L or L * D) !> If TRANS = 'T', multiplies by U' or D * U' (or L' or D * L') !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> Specifies whether the factor stored in A is upper or lower !> triangular. !> = 'U': Upper triangular !> = 'L': Lower triangular !>
TRANS
!> TRANS is CHARACTER*1 !> Specifies the operation to be performed: !> = 'N': x := A*x !> = 'T': x := A'*x !>
DIAG
!> DIAG is CHARACTER*1 !> Specifies whether or not the diagonal blocks are unit !> matrices. If the diagonal blocks are assumed to be unit, !> then A = U or A = L, otherwise A = U*D or A = L*D. !> = 'U': Diagonal blocks are assumed to be unit matrices. !> = 'N': Diagonal blocks are assumed to be non-unit matrices. !>
N
!> N is INTEGER !> The number of rows and columns of the matrix A. N >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of right hand sides, i.e., the number of vectors !> x to be multiplied by A. NRHS >= 0. !>
A
!> A is COMPLEX*16 array, dimension (LDA,N) !> The block diagonal matrix D and the multipliers used to !> obtain the factor U or L as computed by ZSYTRF. !> Stored as a 2-D triangular matrix. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
IPIV
!> IPIV is INTEGER array, dimension (N) !> Details of the interchanges and the block structure of D, !> as determined by ZSYTRF. !> !> If UPLO = 'U': !> If IPIV(k) > 0, then rows and columns k and IPIV(k) !> were interchanged and D(k,k) is a 1-by-1 diagonal block. !> (If IPIV( k ) = k, no interchange was done). !> !> If IPIV(k) = IPIV(k-1) < 0, then rows and !> columns k-1 and -IPIV(k) were interchanged, !> D(k-1:k,k-1:k) is a 2-by-2 diagonal block. !> !> If UPLO = 'L': !> If IPIV(k) > 0, then rows and columns k and IPIV(k) !> were interchanged and D(k,k) is a 1-by-1 diagonal block. !> (If IPIV( k ) = k, no interchange was done). !> !> If IPIV(k) = IPIV(k+1) < 0, then rows and !> columns k+1 and -IPIV(k) were interchanged, !> D(k:k+1,k:k+1) is a 2-by-2 diagonal block. !>
B
!> B is COMPLEX*16 array, dimension (LDB,NRHS) !> On entry, B contains NRHS vectors of length N. !> On exit, B is overwritten with the product A * B. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. LDB >= max(1,N). !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -k, the k-th argument had an illegal value !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 151 of file zlavsy.f.
Author¶
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Version 3.12.0 | LAPACK |