Man page - hetrs(3)

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Manual

hetrs

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine chetrs (character uplo, integer n, integer nrhs, complex,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex, dimension( ldb, * ) b, integer ldb, integer info)
subroutine csytrs (character uplo, integer n, integer nrhs, complex,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex, dimension( ldb, * ) b, integer ldb, integer info)
subroutine dsytrs (character uplo, integer n, integer nrhs, doubleprecision, dimension( lda, * ) a, integer lda, integer, dimension( * )ipiv, double precision, dimension( ldb, * ) b, integer ldb, integerinfo)
subroutine ssytrs (character uplo, integer n, integer nrhs, real,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, real,dimension( ldb, * ) b, integer ldb, integer info)
subroutine zhetrs (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, integer info)
subroutine zsytrs (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, integer info)
Author

NAME

hetrs - {he,sy}trs: triangular solve using factor

SYNOPSIS

Functions

subroutine chetrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
CHETRS
subroutine csytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
CSYTRS
subroutine dsytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
DSYTRS
subroutine ssytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
SSYTRS
subroutine zhetrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
ZHETRS
subroutine zsytrs (uplo, n, nrhs, a, lda, ipiv, b, ldb, info)
ZSYTRS

Detailed Description

Function Documentation

subroutine chetrs (character uplo, integer n, integer nrhs, complex,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex, dimension( ldb, * ) b, integer ldb, integer info)

CHETRS

Purpose:

CHETRS solves a system of linear equations A*X = B with a complex
Hermitian matrix A using the factorization A = U*D*U**H or
A = L*D*L**H computed by CHETRF.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= ā€™Uā€™: Upper triangular, form is A = U*D*U**H;
= ā€™Lā€™: Lower triangular, form is A = L*D*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)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by CHETRF.

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 CHETRF.

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 (character uplo, integer n, integer nrhs, complex,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex, dimension( ldb, * ) b, integer ldb, integer info)

CSYTRS

Purpose:

CSYTRS solves a system of linear equations A*X = B with a complex
symmetric matrix A using the factorization A = U*D*U**T or
A = L*D*L**T computed by CSYTRF.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= ā€™Uā€™: Upper triangular, form is A = U*D*U**T;
= ā€™Lā€™: Lower triangular, form is A = L*D*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)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by CSYTRF.

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 CSYTRF.

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 (character uplo, integer n, integer nrhs, doubleprecision, dimension( lda, * ) a, integer lda, integer, dimension( * )ipiv, double precision, dimension( ldb, * ) b, integer ldb, integerinfo)

DSYTRS

Purpose:

DSYTRS solves a system of linear equations A*X = B with a real
symmetric matrix A using the factorization A = U*D*U**T or
A = L*D*L**T computed by DSYTRF.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= ā€™Uā€™: Upper triangular, form is A = U*D*U**T;
= ā€™Lā€™: Lower triangular, form is A = L*D*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)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by DSYTRF.

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 DSYTRF.

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 (character uplo, integer n, integer nrhs, real,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, real,dimension( ldb, * ) b, integer ldb, integer info)

SSYTRS

Purpose:

SSYTRS solves a system of linear equations A*X = B with a real
symmetric matrix A using the factorization A = U*D*U**T or
A = L*D*L**T computed by SSYTRF.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= ā€™Uā€™: Upper triangular, form is A = U*D*U**T;
= ā€™Lā€™: Lower triangular, form is A = L*D*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)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by SSYTRF.

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 SSYTRF.

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 (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZHETRS

Purpose:

ZHETRS solves a system of linear equations A*X = B with a complex
Hermitian matrix A using the factorization A = U*D*U**H or
A = L*D*L**H computed by ZHETRF.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= ā€™Uā€™: Upper triangular, form is A = U*D*U**H;
= ā€™Lā€™: Lower triangular, form is A = L*D*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)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by ZHETRF.

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 ZHETRF.

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 (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZSYTRS

Purpose:

ZSYTRS solves a system of linear equations A*X = B with a complex
symmetric matrix A using the factorization A = U*D*U**T or
A = L*D*L**T computed by ZSYTRF.

Parameters

UPLO

UPLO is CHARACTER*1
Specifies whether the details of the factorization are stored
as an upper or lower triangular matrix.
= ā€™Uā€™: Upper triangular, form is A = U*D*U**T;
= ā€™Lā€™: Lower triangular, form is A = L*D*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)
The block diagonal matrix D and the multipliers used to
obtain the factor U or L as computed by ZSYTRF.

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.

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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