SRC/zla_lin_berr.f(3) | Library Functions Manual | SRC/zla_lin_berr.f(3) |
NAME
SRC/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.
Definition at line 100 of file zla_lin_berr.f.
Author
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