zla_porpvgrw (3)  Linux Manuals
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 positivedefinite 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 positivedefinite 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.
NCOLSNCOLS is INTEGER The number of columns of the matrix A. NCOLS >= 0.
AA is COMPLEX*16 array, dimension (LDA,N) On entry, the NbyN matrix A.
LDALDA is INTEGER The leading dimension of the array A. LDA >= max(1,N).
AFAF 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.
LDAFLDAF is INTEGER The leading dimension of the array AF. LDAF >= max(1,N).
WORKWORK 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
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