Man page - hetrs_aa_2stage(3)

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Manual

hetrs_aa_2stage

NAME
SYNOPSIS
Functions
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)
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)
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, integerldb, integer info)
subroutine ssytrs_aa_2stage (character uplo, integer n, integer nrhs, real,dimension( lda, * ) a, integer lda, real, dimension( * ) tb, integerltb, integer, dimension( * ) ipiv, integer, dimension( * ) ipiv2, real,dimension( ldb, * ) b, integer ldb, integer info)
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, integerinfo)
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, integerinfo)
Author

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.
= ā€™Uā€™: Upper triangular, form is A = U**T*T*U;
= ā€™Lā€™: 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.
= ā€™Uā€™: Upper triangular, form is A = U**T*T*U;
= ā€™Lā€™: 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, integerldb, 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.
= ā€™Uā€™: Upper triangular, form is A = U**T*T*U;
= ā€™Lā€™: 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, integerltb, 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.
= ā€™Uā€™: Upper triangular, form is A = U**T*T*U;
= ā€™Lā€™: 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, integerinfo)

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.
= ā€™Uā€™: Upper triangular, form is A = U**H*T*U;
= ā€™Lā€™: 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, integerinfo)

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.
= ā€™Uā€™: Upper triangular, form is A = U**T*T*U;
= ā€™Lā€™: 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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