.TH "TESTING/EIG/sget31.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/EIG/sget31.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBsget31\fP (rmax, lmax, ninfo, knt)"
.br
.RI "\fBSGET31\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine sget31 (real rmax, integer lmax, integer, dimension( 2 ) ninfo, integer knt)"

.PP
\fBSGET31\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
 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)\&.
.fi
.PP
 
.RE
.PP
\fBParameters\fP
.RS 4
\fIRMAX\fP 
.PP
.nf
          RMAX is REAL
          Value of the largest test ratio\&.
.fi
.PP
.br
\fILMAX\fP 
.PP
.nf
          LMAX is INTEGER
          Example number where largest test ratio achieved\&.
.fi
.PP
.br
\fININFO\fP 
.PP
.nf
          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
.fi
.PP
.br
\fIKNT\fP 
.PP
.nf
          KNT is INTEGER
          Total number of examples tested\&.
.fi
.PP
 
.RE
.PP
\fBAuthor\fP
.RS 4
Univ\&. of Tennessee 
.PP
Univ\&. of California Berkeley 
.PP
Univ\&. of Colorado Denver 
.PP
NAG Ltd\&. 
.RE
.PP

.PP
Definition at line \fB90\fP of file \fBsget31\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.