NAME

       getrs - getrs: triangular solve using factor

SYNOPSIS

   Functions
       subroutine cgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info)
           CGETRS
       subroutine dgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info)
           DGETRS
       subroutine sgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info)
           SGETRS
       subroutine zgetrs (trans, n, nrhs, a, lda, ipiv, b, ldb, info)
           ZGETRS

Detailed Description

Function Documentation

   subroutine cgetrs (character trans, integer n, integer nrhs, complex, dimension( lda, * ) a,
       integer lda, integer, dimension( * ) ipiv, complex, dimension( ldb, * ) b, integer ldb,
       integer info)
       CGETRS

       Purpose:

            CGETRS solves a system of linear equations
               A * X = B,  A**T * X = B,  or  A**H * X = B
            with a general N-by-N matrix A using the LU factorization computed
            by CGETRF.

       Parameters
           TRANS

                     TRANS is CHARACTER*1
                     Specifies the form of the system of equations:
                     = 'N':  A * X = B     (No transpose)
                     = 'T':  A**T * X = B  (Transpose)
                     = 'C':  A**H * X = B  (Conjugate transpose)

           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 factors L and U from the factorization A = P*L*U
                     as computed by CGETRF.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     The pivot indices from CGETRF; for 1<=i<=N, row i of the
                     matrix was interchanged with row IPIV(i).

           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 dgetrs (character trans, integer n, integer nrhs, double precision, dimension( lda,
       * ) a, integer lda, integer, dimension( * ) ipiv, double precision, dimension( ldb, * ) b,
       integer ldb, integer info)
       DGETRS

       Purpose:

            DGETRS solves a system of linear equations
               A * X = B  or  A**T * X = B
            with a general N-by-N matrix A using the LU factorization computed
            by DGETRF.

       Parameters
           TRANS

                     TRANS is CHARACTER*1
                     Specifies the form of the system of equations:
                     = 'N':  A * X = B  (No transpose)
                     = 'T':  A**T* X = B  (Transpose)
                     = 'C':  A**T* X = B  (Conjugate transpose = Transpose)

           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 factors L and U from the factorization A = P*L*U
                     as computed by DGETRF.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     The pivot indices from DGETRF; for 1<=i<=N, row i of the
                     matrix was interchanged with row IPIV(i).

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

       Purpose:

            SGETRS solves a system of linear equations
               A * X = B  or  A**T * X = B
            with a general N-by-N matrix A using the LU factorization computed
            by SGETRF.

       Parameters
           TRANS

                     TRANS is CHARACTER*1
                     Specifies the form of the system of equations:
                     = 'N':  A * X = B  (No transpose)
                     = 'T':  A**T* X = B  (Transpose)
                     = 'C':  A**T* X = B  (Conjugate transpose = Transpose)

           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 factors L and U from the factorization A = P*L*U
                     as computed by SGETRF.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     The pivot indices from SGETRF; for 1<=i<=N, row i of the
                     matrix was interchanged with row IPIV(i).

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

       Purpose:

            ZGETRS solves a system of linear equations
               A * X = B,  A**T * X = B,  or  A**H * X = B
            with a general N-by-N matrix A using the LU factorization computed
            by ZGETRF.

       Parameters
           TRANS

                     TRANS is CHARACTER*1
                     Specifies the form of the system of equations:
                     = 'N':  A * X = B     (No transpose)
                     = 'T':  A**T * X = B  (Transpose)
                     = 'C':  A**H * X = B  (Conjugate transpose)

           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 factors L and U from the factorization A = P*L*U
                     as computed by ZGETRF.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.  LDA >= max(1,N).

           IPIV

                     IPIV is INTEGER array, dimension (N)
                     The pivot indices from ZGETRF; for 1<=i<=N, row i of the
                     matrix was interchanged with row IPIV(i).

           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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