NAME

       sla_gerpvgrw.f -

SYNOPSIS

   Functions/Subroutines
       real function sla_gerpvgrw (N, NCOLS, A, LDA, AF, LDAF)
           SLA_GERPVGRW

Function/Subroutine Documentation

   real function sla_gerpvgrw (integerN, integerNCOLS, real, dimension( lda, * )A, integerLDA,
       real, dimension( ldaf, * )AF, integerLDAF)
       SLA_GERPVGRW

       Purpose:

            SLA_GERPVGRW 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.

       Parameters:
           N

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

           NCOLS

                     NCOLS is INTEGER
                The number of columns of the matrix A. NCOLS >= 0.

           A

                     A is REAL array, dimension (LDA,N)
                On entry, the N-by-N matrix A.

           LDA

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

           AF

                     AF is REAL array, dimension (LDAF,N)
                The factors L and U from the factorization
                A = P*L*U as computed by SGETRF.

           LDAF

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

       Author:
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Date:
           November 2011

       Definition at line 98 of file sla_gerpvgrw.f.

Author

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