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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zla_lin_berr.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/zla_lin_berr.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/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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Version 3.12.0 LAPACK