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cla_gerpvgrw-f(3)

cla_gerpvgrw.f –

Synopsis

Functions/Subroutines

REAL function cla_gerpvgrw (N, NCOLS, A, LDA, AF, LDAF)
CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

Function/Subroutine Documentation

REAL function cla_gerpvgrw (integerN, integerNCOLS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF)

CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

Purpose:

 CLA_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 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 factors L and U from the factorization
 A = P*L*U as computed by CGETRF.

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:

September 2012

Definition at line 99 of file cla_gerpvgrw.f.

Author

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