.TH "TESTING/EIG/dget31.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*-
.ad l
.nh
.SH NAME
TESTING/EIG/dget31.f
.SH SYNOPSIS
.br
.PP
.SS "Functions/Subroutines"

.in +1c
.ti -1c
.RI "subroutine \fBdget31\fP (rmax, lmax, ninfo, knt)"
.br
.RI "\fBDGET31\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine dget31 (double precision rmax, integer lmax, integer, dimension( 2 ) ninfo, integer knt)"

.PP
\fBDGET31\fP 
.PP
\fBPurpose:\fP
.RS 4

.PP
.nf
!>
!> DGET31 tests DLALN2, 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 DOUBLE PRECISION
!>          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 \fBdget31\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.