table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/chesv_aa.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/chesv_aa.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/chesv_aa.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine CHESV_AA (uplo, n, nrhs, a, lda, ipiv, b, ldb,
work, lwork, info)
CHESV_AA computes the solution to system of linear equations A * X = B for
HE matrices
Function/Subroutine Documentation¶
subroutine CHESV_AA (character uplo, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb, complex, dimension( * ) work, integer lwork, integer info)¶
CHESV_AA computes the solution to system of linear equations A * X = B for HE matrices
Purpose:
!> !> CHESV_AA computes the solution to a complex system of linear equations !> A * X = B, !> where A is an N-by-N Hermitian matrix and X and B are N-by-NRHS !> matrices. !> !> Aasen's algorithm is used to factor A as !> A = U**H * T * U, if UPLO = 'U', or !> A = L * T * L**H, if UPLO = 'L', !> where U (or L) is a product of permutation and unit upper (lower) !> triangular matrices, and T is Hermitian and tridiagonal. The factored form !> of A is then used to solve the system of equations A * X = B. !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !>
N
!> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of right hand sides, i.e., the number of columns !> of the matrix B. NRHS >= 0. !>
A
!> A is COMPLEX array, dimension (LDA,N) !> On entry, the Hermitian matrix A. If UPLO = 'U', the leading !> N-by-N upper triangular part of A contains the upper !> triangular part of the matrix A, and the strictly lower !> triangular part of A is not referenced. If UPLO = 'L', the !> leading N-by-N lower triangular part of A contains the lower !> triangular part of the matrix A, and the strictly upper !> triangular part of A is not referenced. !> !> On exit, if INFO = 0, the tridiagonal matrix T and the !> multipliers used to obtain the factor U or L from the !> factorization A = U**H*T*U or A = L*T*L**H as computed by !> CHETRF_AA. !>
LDA
!> LDA is INTEGER !> The leading dimension of the array A. LDA >= max(1,N). !>
IPIV
!> IPIV is INTEGER array, dimension (N) !> On exit, it contains the details of the interchanges, i.e., !> the row and column k of A were interchanged with the !> row and column IPIV(k). !>
B
!> B is COMPLEX array, dimension (LDB,NRHS) !> On entry, the N-by-NRHS right hand side matrix B. !> On exit, if INFO = 0, the N-by-NRHS solution matrix X. !>
LDB
!> LDB is INTEGER !> The leading dimension of the array B. LDB >= max(1,N). !>
WORK
!> WORK is COMPLEX array, dimension (MAX(1,LWORK)) !> On exit, if INFO = 0, WORK(1) returns the optimal LWORK. !>
LWORK
!> LWORK is INTEGER !> The length of WORK. LWORK >= MAX(1,2*N,3*N-2), and for best !> performance LWORK >= MAX(1,N*NB), where NB is the optimal !> blocksize for CHETRF. !> !> If LWORK = -1, then a workspace query is assumed; the routine !> only calculates the optimal size of the WORK array, returns !> this value as the first entry of the WORK array, and no error !> message related to LWORK is issued by XERBLA. !>
INFO
!> INFO is INTEGER !> = 0: successful exit !> < 0: if INFO = -i, the i-th argument had an illegal value !> > 0: if INFO = i, D(i,i) is exactly zero. The factorization !> has been completed, but the block diagonal matrix D is !> exactly singular, so the solution could not be computed. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 160 of file chesv_aa.f.
Author¶
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