Man page - hetrs2(3)

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Manual

hetrs2

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine chetrs2 (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 info)
subroutine csytrs2 (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 info)
subroutine dsytrs2 (character uplo, integer n, integer nrhs, doubleprecision, dimension( lda, * ) a, integer lda, integer, dimension( * )ipiv, double precision, dimension( ldb, * ) b, integer ldb, doubleprecision, dimension( * ) work, integer info)
subroutine ssytrs2 (character uplo, integer n, integer nrhs, real,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, real,dimension( ldb, * ) b, integer ldb, real, dimension( * ) work, integerinfo)
subroutine zhetrs2 (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension(* ) work, integer info)
subroutine zsytrs2 (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension(* ) work, integer info)
Author

NAME

hetrs2 - {he,sy}trs2: solve using factor

SYNOPSIS

Functions

subroutine chetrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
CHETRS2
subroutine csytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
CSYTRS2
subroutine dsytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
DSYTRS2
subroutine ssytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
SSYTRS2
subroutine zhetrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
ZHETRS2
subroutine zsytrs2 (uplo, n, nrhs, a, lda, ipiv, b, ldb, work, info)
ZSYTRS2

Detailed Description

Function Documentation

subroutine chetrs2 (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 info)

CHETRS2

Purpose:

CHETRS2 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 and converted by CSYCONV.

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*D*U**H;
= ’L’: 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).

WORK

WORK is COMPLEX array, dimension (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 csytrs2 (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 info)

CSYTRS2

Purpose:

CSYTRS2 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 and converted by CSYCONV.

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*D*U**T;
= ’L’: 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.
Note that A is input / output. This might be counter-intuitive,
and one may think that A is input only. A is input / output. This
is because, at the start of the subroutine, we permute A in a
’better’ form and then we permute A back to its original form at
the end.

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).

WORK

WORK is COMPLEX array, dimension (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 dsytrs2 (character uplo, integer n, integer nrhs, doubleprecision, dimension( lda, * ) a, integer lda, integer, dimension( * )ipiv, double precision, dimension( ldb, * ) b, integer ldb, doubleprecision, dimension( * ) work, integer info)

DSYTRS2

Purpose:

DSYTRS2 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 and converted by DSYCONV.

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*D*U**T;
= ’L’: 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.
Note that A is input / output. This might be counter-intuitive,
and one may think that A is input only. A is input / output. This
is because, at the start of the subroutine, we permute A in a
’better’ form and then we permute A back to its original form at
the end.

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).

WORK

WORK is DOUBLE PRECISION array, dimension (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 ssytrs2 (character uplo, integer n, integer nrhs, real,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv, real,dimension( ldb, * ) b, integer ldb, real, dimension( * ) work, integerinfo)

SSYTRS2

Purpose:

SSYTRS2 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 and converted by SSYCONV.

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*D*U**T;
= ’L’: 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.
Note that A is input / output. This might be counter-intuitive,
and one may think that A is input only. A is input / output. This
is because, at the start of the subroutine, we permute A in a
’better’ form and then we permute A back to its original form at
the end.

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).

WORK

WORK is REAL array, dimension (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 zhetrs2 (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension(* ) work, integer info)

ZHETRS2

Purpose:

ZHETRS2 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 and converted by ZSYCONV.

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*D*U**H;
= ’L’: 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).

WORK

WORK is COMPLEX*16 array, dimension (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 zsytrs2 (character uplo, integer n, integer nrhs, complex*16,dimension( lda, * ) a, integer lda, integer, dimension( * ) ipiv,complex*16, dimension( ldb, * ) b, integer ldb, complex*16, dimension(* ) work, integer info)

ZSYTRS2

Purpose:

ZSYTRS2 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 and converted by ZSYCONV.

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*D*U**T;
= ’L’: 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.
Note that A is input / output. This might be counter-intuitive,
and one may think that A is input only. A is input / output. This
is because, at the start of the subroutine, we permute A in a
’better’ form and then we permute A back to its original form at
the end.

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).

WORK

WORK is COMPLEX*16 array, dimension (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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