NAME

       zhetrs_rook.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zhetrs_rook (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, INFO)
           ZHETRS_ROOK computes the solution to a system of linear equations A * X = B for HE
           matrices using factorization obtained with one of the bounded diagonal pivoting
           methods (max 2 interchanges)

Function/Subroutine Documentation

   subroutine zhetrs_rook (character UPLO, integer N, integer NRHS, complex*16, dimension( lda, *
       ) A, integer LDA, integer, dimension( * ) IPIV, complex*16, dimension( ldb, * ) B, integer
       LDB, integer INFO)
       ZHETRS_ROOK computes the solution to a system of linear equations A * X = B for HE
       matrices using factorization obtained with one of the bounded diagonal pivoting methods
       (max 2 interchanges)

       Purpose:

            ZHETRS_ROOK 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_ROOK.

       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_ROOK.

           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_ROOK.

           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.

       Date:
           November 2013

       Contributors:

             November 2013,  Igor Kozachenko,
                             Computer Science Division,
                             University of California, Berkeley

             September 2007, Sven Hammarling, Nicholas J. Higham, Craig Lucas,
                             School of Mathematics,
                             University of Manchester

Author

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