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

.in +1c
.ti -1c
.RI "subroutine \fBdebchvxx\fP (thresh, path)"
.br
.RI "\fBDEBCHVXX\fP "
.in -1c
.SH "Function/Subroutine Documentation"
.PP 
.SS "subroutine debchvxx (double precision thresh, character*3 path)"

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

.PP
.nf
!>
!>  DEBCHVXX will run D**SVXX on a series of Hilbert matrices and then
!>  compare the error bounds returned by D**SVXX to see if the returned
!>  answer indeed falls within those bounds\&.
!>
!>  Eight test ratios will be computed\&.  The tests will pass if they are \&.LT\&.
!>  THRESH\&.  There are two cases that are determined by 1 / (SQRT( N ) * EPS)\&.
!>  If that value is \&.LE\&. to the component wise reciprocal condition number,
!>  it uses the guaranteed case, other wise it uses the unguaranteed case\&.
!>
!>  Test ratios:
!>     Let Xc be X_computed and Xt be X_truth\&.
!>     The norm used is the infinity norm\&.
!>
!>     Let A be the guaranteed case and B be the unguaranteed case\&.
!>
!>       1\&. Normwise guaranteed forward error bound\&.
!>       A: norm ( abs( Xc - Xt ) / norm ( Xt ) \&.LE\&. ERRBND( *, nwise_i, bnd_i ) and
!>          ERRBND( *, nwise_i, bnd_i ) \&.LE\&. MAX(SQRT(N),10) * EPS\&.
!>          If these conditions are met, the test ratio is set to be
!>          ERRBND( *, nwise_i, bnd_i ) / MAX(SQRT(N), 10)\&.  Otherwise it is 1/EPS\&.
!>       B: For this case, CGESVXX should just return 1\&.  If it is less than
!>          one, treat it the same as in 1A\&.  Otherwise it fails\&. (Set test
!>          ratio to ERRBND( *, nwise_i, bnd_i ) * THRESH?)
!>
!>       2\&. Componentwise guaranteed forward error bound\&.
!>       A: norm ( abs( Xc(j) - Xt(j) ) ) / norm (Xt(j)) \&.LE\&. ERRBND( *, cwise_i, bnd_i )
!>          for all j \&.AND\&. ERRBND( *, cwise_i, bnd_i ) \&.LE\&. MAX(SQRT(N), 10) * EPS\&.
!>          If these conditions are met, the test ratio is set to be
!>          ERRBND( *, cwise_i, bnd_i ) / MAX(SQRT(N), 10)\&.  Otherwise it is 1/EPS\&.
!>       B: Same as normwise test ratio\&.
!>
!>       3\&. Backwards error\&.
!>       A: The test ratio is set to BERR/EPS\&.
!>       B: Same test ratio\&.
!>
!>       4\&. Reciprocal condition number\&.
!>       A: A condition number is computed with Xt and compared with the one
!>          returned from CGESVXX\&.  Let RCONDc be the RCOND returned by D**SVXX
!>          and RCONDt be the RCOND from the truth value\&.  Test ratio is set to
!>          MAX(RCONDc/RCONDt, RCONDt/RCONDc)\&.
!>       B: Test ratio is set to 1 / (EPS * RCONDc)\&.
!>
!>       5\&. Reciprocal normwise condition number\&.
!>       A: The test ratio is set to
!>          MAX(ERRBND( *, nwise_i, cond_i ) / NCOND, NCOND / ERRBND( *, nwise_i, cond_i ))\&.
!>       B: Test ratio is set to 1 / (EPS * ERRBND( *, nwise_i, cond_i ))\&.
!>
!>       6\&. Reciprocal componentwise condition number\&.
!>       A: Test ratio is set to
!>          MAX(ERRBND( *, cwise_i, cond_i ) / CCOND, CCOND / ERRBND( *, cwise_i, cond_i ))\&.
!>       B: Test ratio is set to 1 / (EPS * ERRBND( *, cwise_i, cond_i ))\&.
!>
!>     \&.\&. Parameters \&.\&.
!>     NMAX is determined by the largest number in the inverse of the hilbert
!>     matrix\&.  Precision is exhausted when the largest entry in it is greater
!>     than 2 to the power of the number of bits in the fraction of the data
!>     type used plus one, which is 24 for single precision\&.
!>     NMAX should be 6 for single and 11 for double\&.
!> 
.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 \fB95\fP of file \fBdebchvxx\&.f\fP\&.
.SH "Author"
.PP 
Generated automatically by Doxygen for LAPACK from the source code\&.