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zla_lin_berr.f(3) LAPACK zla_lin_berr.f(3)

NAME

zla_lin_berr.f

SYNOPSIS

Functions/Subroutines


subroutine zla_lin_berr (N, NZ, NRHS, RES, AYB, BERR)
ZLA_LIN_BERR computes a component-wise relative backward error.

Function/Subroutine Documentation

subroutine zla_lin_berr (integer N, integer NZ, integer NRHS, complex*16, dimension( n, nrhs ) RES, double precision, dimension( n, nrhs ) AYB, double precision, dimension( nrhs ) BERR)

ZLA_LIN_BERR computes a component-wise relative backward error.

Purpose:


ZLA_LIN_BERR computes componentwise relative backward error from
the formula
max(i) ( abs(R(i)) / ( abs(op(A_s))*abs(Y) + abs(B_s) )(i) )
where abs(Z) is the componentwise absolute value of the matrix
or vector Z.

Parameters:

N


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

NZ


NZ is INTEGER
We add (NZ+1)*SLAMCH( 'Safe minimum' ) to R(i) in the numerator to
guard against spuriously zero residuals. Default value is N.

NRHS


NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices AYB, RES, and BERR. NRHS >= 0.

RES


RES is COMPLEX*16 array, dimension (N,NRHS)
The residual matrix, i.e., the matrix R in the relative backward
error formula above.

AYB


AYB is DOUBLE PRECISION array, dimension (N, NRHS)
The denominator in the relative backward error formula above, i.e.,
the matrix abs(op(A_s))*abs(Y) + abs(B_s). The matrices A, Y, and B
are from iterative refinement (see zla_gerfsx_extended.f).

BERR


BERR is DOUBLE PRECISION array, dimension (NRHS)
The componentwise relative backward error from the formula above.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

June 2016

Definition at line 103 of file zla_lin_berr.f.

Author

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Tue Nov 14 2017 Version 3.8.0