table of contents
| hetrs_aa_2stage(3) | LAPACK | hetrs_aa_2stage(3) |
NAME¶
hetrs_aa_2stage - {he,sy}trs_aa_2stage: triangular solve using factor
SYNOPSIS¶
Functions¶
subroutine chetrs_aa_2stage (uplo, n, nrhs, a, lda, tb,
ltb, ipiv, ipiv2, b, ldb, info)
CHETRS_AA_2STAGE subroutine csytrs_aa_2stage (uplo, n, nrhs, a,
lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
CSYTRS_AA_2STAGE subroutine dsytrs_aa_2stage (uplo, n, nrhs, a,
lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
DSYTRS_AA_2STAGE subroutine ssytrs_aa_2stage (uplo, n, nrhs, a,
lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
SSYTRS_AA_2STAGE subroutine zhetrs_aa_2stage (uplo, n, nrhs, a,
lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
ZHETRS_AA_2STAGE subroutine zsytrs_aa_2stage (uplo, n, nrhs, a,
lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
ZSYTRS_AA_2STAGE
Detailed Description¶
Function Documentation¶
subroutine chetrs_aa_2stage (character uplo, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex, dimension( ldb, * ) b, integer ldb, integer info)¶
CHETRS_AA_2STAGE
Purpose:
CHETRS_AA_2STAGE solves a system of linear equations A*X = B with a real
hermitian matrix A using the factorization A = U**T*T*U or
A = L*T*L**T computed by CHETRF_AA_2STAGE.
Parameters
UPLO
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 CHETRF_AA_2STAGE.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
TB
TB is COMPLEX array, dimension (LTB)
Details of factors computed by CHETRF_AA_2STAGE.
LTB
LTB is INTEGER
The size of the array TB. LTB >= 4*N.
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges as computed by
CHETRF_AA_2STAGE.
IPIV2
IPIV2 is INTEGER array, dimension (N)
Details of the interchanges as computed by
CHETRF_AA_2STAGE.
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).
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.
subroutine csytrs_aa_2stage (character uplo, integer n, integer nrhs, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex, dimension( ldb, * ) b, integer ldb, integer info)¶
CSYTRS_AA_2STAGE
Purpose:
CSYTRS_AA_2STAGE 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_2STAGE.
Parameters
UPLO
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_2STAGE.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
TB
TB is COMPLEX array, dimension (LTB)
Details of factors computed by CSYTRF_AA_2STAGE.
LTB
LTB is INTEGER
The size of the array TB. LTB >= 4*N.
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges as computed by
CSYTRF_AA_2STAGE.
IPIV2
IPIV2 is INTEGER array, dimension (N)
Details of the interchanges as computed by
CSYTRF_AA_2STAGE.
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).
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.
subroutine dsytrs_aa_2stage (character uplo, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, double precision, dimension( ldb, * ) b, integer ldb, integer info)¶
DSYTRS_AA_2STAGE
Purpose:
DSYTRS_AA_2STAGE 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_2STAGE.
Parameters
UPLO
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_2STAGE.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
TB
TB is DOUBLE PRECISION array, dimension (LTB)
Details of factors computed by DSYTRF_AA_2STAGE.
LTB
LTB is INTEGER
The size of the array TB. LTB >= 4*N.
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges as computed by
DSYTRF_AA_2STAGE.
IPIV2
IPIV2 is INTEGER array, dimension (N)
Details of the interchanges as computed by
DSYTRF_AA_2STAGE.
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).
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.
subroutine ssytrs_aa_2stage (character uplo, integer n, integer nrhs, real, dimension( lda, * ) a, integer lda, real, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, real, dimension( ldb, * ) b, integer ldb, integer info)¶
SSYTRS_AA_2STAGE
Purpose:
SSYTRS_AA_2STAGE 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_2STAGE.
Parameters
UPLO
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_2STAGE.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
TB
TB is REAL array, dimension (LTB)
Details of factors computed by SSYTRF_AA_2STAGE.
LTB
LTB is INTEGER
The size of the array TB. LTB >= 4*N.
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges as computed by
SSYTRF_AA_2STAGE.
IPIV2
IPIV2 is INTEGER array, dimension (N)
Details of the interchanges as computed by
SSYTRF_AA_2STAGE.
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).
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.
subroutine zhetrs_aa_2stage (character uplo, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex*16, dimension( ldb, * ) b, integer ldb, integer info)¶
ZHETRS_AA_2STAGE
Purpose:
ZHETRS_AA_2STAGE solves a system of linear equations A*X = B with a
hermitian matrix A using the factorization A = U**H*T*U or
A = L*T*L**H computed by ZHETRF_AA_2STAGE.
Parameters
UPLO
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_2STAGE.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
TB
TB is COMPLEX*16 array, dimension (LTB)
Details of factors computed by ZHETRF_AA_2STAGE.
LTB
LTB is INTEGER
The size of the array TB. LTB >= 4*N.
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges as computed by
ZHETRF_AA_2STAGE.
IPIV2
IPIV2 is INTEGER array, dimension (N)
Details of the interchanges as computed by
ZHETRF_AA_2STAGE.
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).
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.
subroutine zsytrs_aa_2stage (character uplo, integer n, integer nrhs, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tb, integer ltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, complex*16, dimension( ldb, * ) b, integer ldb, integer info)¶
ZSYTRS_AA_2STAGE
Purpose:
ZSYTRS_AA_2STAGE 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_2STAGE.
Parameters
UPLO
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_2STAGE.
LDA
LDA is INTEGER
The leading dimension of the array A. LDA >= max(1,N).
TB
TB is COMPLEX*16 array, dimension (LTB)
Details of factors computed by ZSYTRF_AA_2STAGE.
LTB
LTB is INTEGER
The size of the array TB. LTB >= 4*N.
IPIV
IPIV is INTEGER array, dimension (N)
Details of the interchanges as computed by
ZSYTRF_AA_2STAGE.
IPIV2
IPIV2 is INTEGER array, dimension (N)
Details of the interchanges as computed by
ZSYTRF_AA_2STAGE.
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).
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.
Author¶
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| Wed Feb 7 2024 11:30:40 | Version 3.12.0 |