hetrs_aa(3) | LAPACK | hetrs_aa(3) |
hetrs_aa - {he,sy}trs_aa: triangular solve using factor
subroutine chetrs_aa (uplo, n, nrhs, a, lda, ipiv, b, ldb,
work, lwork, info)
CHETRS_AA subroutine csytrs_aa (uplo, n, nrhs, a, lda, ipiv, b,
ldb, work, lwork, info)
CSYTRS_AA subroutine dsytrs_aa (uplo, n, nrhs, a, lda, ipiv, b,
ldb, work, lwork, info)
DSYTRS_AA subroutine ssytrs_aa (uplo, n, nrhs, a, lda, ipiv, b,
ldb, work, lwork, info)
SSYTRS_AA subroutine zhetrs_aa (uplo, n, nrhs, a, lda, ipiv, b,
ldb, work, lwork, info)
ZHETRS_AA subroutine zsytrs_aa (uplo, n, nrhs, a, lda, ipiv, b,
ldb, work, lwork, info)
ZSYTRS_AA
CHETRS_AA
Purpose:
CHETRS_AA solves a system of linear equations A*X = B with a complex hermitian matrix A using the factorization A = U**H*T*U or A = L*T*L**H computed by CHETRF_AA.
Parameters
UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**H*T*U; = 'L': Lower triangular, form is A = L*T*L**H.
N
N is INTEGER 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) Details of factors 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) Details of the interchanges as computed by CHETRF_AA.
B
B is COMPLEX array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the 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))
LWORK
LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,3*N-2).
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
CSYTRS_AA
Purpose:
CSYTRS_AA solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by CSYTRF_AA.
Parameters
UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T.
N
N is INTEGER 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) Details of factors computed by CSYTRF_AA.
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 as computed by CSYTRF_AA.
B
B is COMPLEX array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the 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))
LWORK
LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,3*N-2).
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
DSYTRS_AA
Purpose:
DSYTRS_AA solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by DSYTRF_AA.
Parameters
UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T.
N
N is INTEGER 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 DOUBLE PRECISION array, dimension (LDA,N) Details of factors computed by DSYTRF_AA.
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 as computed by DSYTRF_AA.
B
B is DOUBLE PRECISION array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.
LDB
LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N).
WORK
WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK))
LWORK
LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,3*N-2).
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
SSYTRS_AA
Purpose:
SSYTRS_AA solves a system of linear equations A*X = B with a real symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by SSYTRF_AA.
Parameters
UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T.
N
N is INTEGER 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 REAL array, dimension (LDA,N) Details of factors computed by SSYTRF_AA.
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 as computed by SSYTRF_AA.
B
B is REAL array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.
LDB
LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N).
WORK
WORK is REAL array, dimension (MAX(1,LWORK))
LWORK
LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,3*N-2).
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
ZHETRS_AA
Purpose:
ZHETRS_AA solves a system of linear equations A*X = B with a complex hermitian matrix A using the factorization A = U**H*T*U or A = L*T*L**H computed by ZHETRF_AA.
Parameters
UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**H*T*U; = 'L': Lower triangular, form is A = L*T*L**H.
N
N is INTEGER 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*16 array, dimension (LDA,N) Details of factors computed by ZHETRF_AA.
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 as computed by ZHETRF_AA.
B
B is COMPLEX*16 array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.
LDB
LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N).
WORK
WORK is COMPLEX*16 array, dimension (MAX(1,LWORK))
LWORK
LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,3*N-2).
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
ZSYTRS_AA
Purpose:
ZSYTRS_AA solves a system of linear equations A*X = B with a complex symmetric matrix A using the factorization A = U**T*T*U or A = L*T*L**T computed by ZSYTRF_AA.
Parameters
UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. = 'U': Upper triangular, form is A = U**T*T*U; = 'L': Lower triangular, form is A = L*T*L**T.
N
N is INTEGER 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*16 array, dimension (LDA,N) Details of factors computed by ZSYTRF_AA.
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 as computed by ZSYTRF_AA.
B
B is COMPLEX*16 array, dimension (LDB,NRHS) On entry, the right hand side matrix B. On exit, the solution matrix X.
LDB
LDB is INTEGER The leading dimension of the array B. LDB >= max(1,N).
WORK
WORK is COMPLEX*16 array, dimension (MAX(1,LWORK))
LWORK
LWORK is INTEGER The dimension of the array WORK. LWORK >= max(1,3*N-2).
INFO
INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value
Author
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
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