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zla_porpvgrw.f

zla_porpvgrw.f(3)						      LAPACK							 zla_porpvgrw.f(3)

NAME

       zla_porpvgrw.f -

SYNOPSIS

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

Function/Subroutine Documentation
   DOUBLE PRECISION function zla_porpvgrw (character*1UPLO, integerNCOLS, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension(
       ldaf, * )AF, integerLDAF, double precision, dimension( * )WORK)
       ZLA_PORPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric or Hermitian positive-definite matrix.

       Purpose:

	    ZLA_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 COMPLEX*16 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 COMPLEX*16 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 ZPOTRF.

	   LDAF

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

	   WORK

		     WORK is COMPLEX*16 array, dimension (2*N)

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 107 of file zla_porpvgrw.f.

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

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