Provided by: liblapack-doc_3.12.0-3build1.1_all bug

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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