SRC/cla_lin_berr.f(3)      Library Functions Manual      SRC/cla_lin_berr.f(3)

NAME
       SRC/cla_lin_berr.f

SYNOPSIS
   Functions/Subroutines
       subroutine cla_lin_berr (n, nz, nrhs, res, ayb, berr)
           CLA_LIN_BERR computes a component-wise relative backward error.

Function/Subroutine Documentation
   subroutine cla_lin_berr (integer n, integer nz, integer nrhs, complex,
       dimension( n, nrhs ) res, real, dimension( n, nrhs ) ayb, real,
       dimension( nrhs ) berr)
       CLA_LIN_BERR computes a component-wise relative backward error.

       Purpose:


               CLA_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 array, dimension (N,NRHS)
                The residual matrix, i.e., the matrix R in the relative backward
                error formula above.

           AYB

                     AYB is REAL 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 cla_gerfsx_extended.f).

           BERR

                     BERR is REAL 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 cla_lin_berr.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0           SRC/cla_lin_berr.f(3)