NAME

       dsytri_rook.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dsytri_rook (UPLO, N, A, LDA, IPIV, WORK, INFO)
           DSYTRI_ROOK

Function/Subroutine Documentation

   subroutine dsytri_rook (characterUPLO, integerN, double precision, dimension( lda, * )A,
       integerLDA, integer, dimension( * )IPIV, double precision, dimension( * )WORK,
       integerINFO)
       DSYTRI_ROOK

       Purpose:

            DSYTRI_ROOK computes the inverse of a real symmetric
            matrix A using the factorization A = U*D*U**T or A = L*D*L**T
            computed by DSYTRF_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**T;
                     = 'L':  Lower triangular, form is A = L*D*L**T.

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           A

                     A is DOUBLE PRECISION array, dimension (LDA,N)
                     On entry, the block diagonal matrix D and the multipliers
                     used to obtain the factor U or L as computed by DSYTRF_ROOK.

                     On exit, if INFO = 0, the (symmetric) inverse of the original
                     matrix.  If UPLO = 'U', the upper triangular part of the
                     inverse is formed and the part of A below the diagonal is not
                     referenced; if UPLO = 'L' the lower triangular part of the
                     inverse is formed and the part of A above the diagonal is
                     not referenced.

           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 DSYTRF_ROOK.

           WORK

                     WORK is DOUBLE PRECISION array, dimension (N)

           INFO

                     INFO is INTEGER
                     = 0: successful exit
                     < 0: if INFO = -i, the i-th argument had an illegal value
                     > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its
                          inverse could not be computed.

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           April 2012

       Contributors:

              April 2012, Igor Kozachenko,
                             Computer Science Division,
                             University of California, Berkeley

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

       Definition at line 130 of file dsytri_rook.f.

Author

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