Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3 - computes the reciprocal pivot growth factor norm(A)/norm(U)

SYNOPSIS

       REAL FUNCTION CLA_HERPVGRW( UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK )

           IMPLICIT  NONE

           CHARACTER*1
                     UPLO

           INTEGER   N, INFO, LDA, LDAF

           INTEGER   IPIV( * )

           COMPLEX   A( LDA, * ), AF( LDAF, * )

           REAL      WORK( * )

PURPOSE

       CLA_HERPVGRW  computes  the  reciprocal  pivot  growth  factor  norm(A)/norm(U).  The "max
       absolute element" norm is used. If this is
        much less than 1, the stability of the LU factorization of the
        (equilibrated) matrix A could be poor. This also means that the
        solution X, estimated condition numbers, and error bounds could be
        unreliable.

ARGUMENTS

        UPLO    (input) CHARACTER*1
                = 'U':  Upper triangle of A is stored;
                = 'L':  Lower triangle of A is stored.

        N       (input) INTEGER
                The number of linear equations, i.e., the order of the
                matrix A.  N >= 0.

        INFO    (input) INTEGER
                The value of INFO returned from SSYTRF, .i.e., the pivot in
                column INFO is exactly 0.

        NCOLS   (input) INTEGER
                The number of columns of the matrix A. NCOLS >= 0.

        A       (input) COMPLEX array, dimension (LDA,N)
                On entry, the N-by-N matrix A.

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

        AF      (input) COMPLEX array, dimension (LDAF,N)
                The block diagonal matrix D and the multipliers used to
                obtain the factor U or L as computed by CHETRF.

        LDAF    (input) INTEGER
                The leading dimension of the array AF.  LDAF >= max(1,N).

        IPIV    (input) INTEGER array, dimension (N)
                Details of the interchanges and the block structure of D
                as determined by CHETRF.

        WORK    (input) COMPLEX array, dimension (2*N)

    LAPACK routine (version 3.2.2)          April 2011                      CLA_HERPVGRW(3lapack)