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sla_porpvgrw.f(3)			      LAPACK				sla_porpvgrw.f(3)

NAME
       sla_porpvgrw.f -

SYNOPSIS
   Functions/Subroutines
       REAL function sla_porpvgrw (UPLO, NCOLS, A, LDA, AF, LDAF, WORK)
	   SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a
	   symmetric or Hermitian positive-definite matrix.

Function/Subroutine Documentation
   REAL function sla_porpvgrw (character*1UPLO, integerNCOLS, real, dimension( lda, * )A,
       integerLDA, real, dimension( ldaf, * )AF, integerLDAF, real, dimension( * )WORK)
       SLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric
       or Hermitian positive-definite matrix.

       Purpose:

	    SLA_PORPVGRW 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:
	   UPLO

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

	   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 triangular factor U or L from the Cholesky factorization
		A = U**T*U or A = L*L**T, as computed by SPOTRF.

	   LDAF

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

	   WORK

		     WORK is REAL array, dimension (2*N)

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 105 of file sla_porpvgrw.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2				 Tue Sep 25 2012			sla_porpvgrw.f(3)
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