hetrs_aa_2stage - Man Page

{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.

Definition at line 139 of file chetrs_aa_2stage.f.

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.

Definition at line 137 of file csytrs_aa_2stage.f.

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.

Definition at line 137 of file dsytrs_aa_2stage.f.

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.

Definition at line 137 of file ssytrs_aa_2stage.f.

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.

Definition at line 139 of file zhetrs_aa_2stage.f.

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.

Definition at line 137 of file zsytrs_aa_2stage.f.

Author

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Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK