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cla_syrpvgrw.f(3)			      LAPACK				cla_syrpvgrw.f(3)

NAME
       cla_syrpvgrw.f -

SYNOPSIS
   Functions/Subroutines
       REAL function cla_syrpvgrw (UPLO, N, INFO, A, LDA, AF, LDAF, IPIV, WORK)
	   CLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a
	   symmetric indefinite matrix.

Function/Subroutine Documentation
   REAL function cla_syrpvgrw (character*1UPLO, integerN, integerINFO, complex, dimension( lda, *
       )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,
       real, dimension( * )WORK)
       CLA_SYRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a symmetric
       indefinite matrix.

       Purpose:

	    CLA_SYRPVGRW 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.

	   N

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

	   INFO

		     INFO is INTEGER
		The value of INFO returned from CSYTRF, .i.e., the pivot in
		column INFO is exactly 0.

	   A

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

	   LDAF

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

	   IPIV

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

	   WORK

		     WORK is COMPLEX array, dimension (2*N)

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 123 of file cla_syrpvgrw.f.

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

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