TESTING/EIG/sget31.f(3)    Library Functions Manual    TESTING/EIG/sget31.f(3)

NAME
       TESTING/EIG/sget31.f

SYNOPSIS
   Functions/Subroutines
       subroutine sget31 (rmax, lmax, ninfo, knt)
           SGET31

Function/Subroutine Documentation
   subroutine sget31 (real rmax, integer lmax, integer, dimension( 2 ) ninfo,
       integer knt)
       SGET31

       Purpose:


            SGET31 tests SLALN2, a routine for solving

               (ca A - w D)X = sB

            where A is an NA by NA matrix (NA=1 or 2 only), w is a real (NW=1) or
            complex (NW=2) constant, ca is a real constant, D is an NA by NA real
            diagonal matrix, and B is an NA by NW matrix (when NW=2 the second
            column of B contains the imaginary part of the solution).  The code
            returns X and s, where s is a scale factor, less than or equal to 1,
            which is chosen to avoid overflow in X.

            If any singular values of ca A-w D are less than another input
            parameter SMIN, they are perturbed up to SMIN.

            The test condition is that the scaled residual

                norm( (ca A-w D)*X - s*B ) /
                      ( max( ulp*norm(ca A-w D), SMIN )*norm(X) )

            should be on the order of 1.  Here, ulp is the machine precision.
            Also, it is verified that SCALE is less than or equal to 1, and that
            XNORM = infinity-norm(X).

       Parameters
           RMAX

                     RMAX is REAL
                     Value of the largest test ratio.

           LMAX

                     LMAX is INTEGER
                     Example number where largest test ratio achieved.

           NINFO

                     NINFO is INTEGER array, dimension (2)
                     NINFO(1) = number of examples with INFO less than 0
                     NINFO(2) = number of examples with INFO greater than 0

           KNT

                     KNT is INTEGER
                     Total number of examples tested.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 90 of file sget31.f.

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

LAPACK                          Version 3.12.0         TESTING/EIG/sget31.f(3)