Despite the recommendation, no change has been made in xGBT02, xGET02, xGTT02, xTBT02, xTPT02,
and xTRT02 for C,Z datatypes yet: as it was noted afterwards in PR #571, those routines are
using mixed types of norm: 1-norm for op(A) and taxicab-based norm |Re(z)|+|Im(z)| for residual.
This is really old school, but a lot of times we have users sending us
copy pasting of codes, and that is the only way to know the version of
the code.
This is mostly a long term maintenance improvement.
Many coding styles require elimination of trailing whitespace, and
many editors and source code management configurations automatically
gobble up whitespace. When these tools gobble up whitespace, it
complicates reviewing the meaningful code changes.
By removing whitespace on one patch, it makes future
code reviews much easier.
=SCRIPT====================================================================
if which tempfile &>/dev/null; then
TEMPMAKER=tempfile
elif which mktemp &>/dev/null; then
TEMPMAKER=mktemp
else
echo "Cannot find tempfile program." 2>&1
exit 1
fi
MYTEMP=$($TEMPMAKER)
trap 'rm -f $MYTEMP' SIGINT SIGTERM
stripit() {
echo "stripping $1"
sed 's/[ \t]*$//' "$1" > $MYTEMP
cp $MYTEMP "$1"
}
if [ $# -gt 0 ]; then
while [ "$1" != "" ]; do
stripit $1
shift
done
else
while read -t 2; do
stripit $REPLY
done
fi
rm $MYTEMP
=================================================
This is a routine to test DGELS which solves solves full rank overdetermined ( linear least squares ) or underdetermined (minimum norm) linear systems.
The check is, as follows,
(1) If the system is consistent, (smallresidual,) we check that
|| A^T ( b – A * x ) || / (||A||*||b||*max(M,N,NRHS)*eps)
is small (say less than 30).
(2) If the system is not consistent, (large residual,) we check that
|| A^T ( b – A * x ) || / (||A||*|| b - A*x ||*max(M,N,NRHS)*eps)
is small (say less than 30).
DQRT17 was checking in the not consistent case (large residual) that
|| A^T ( b – A * x ) || / (||A||*||x||*max(M,N,NRHS)*eps)
is small. It is a mistake and we need to change the ||x|| by a ||r||.
This fix is consistent with what the documentation says and makes more sense.
Use \par instead of \details for section.
add a Contributors Section and a Reference Section.
Remove (some) verbatim section when not needed.
Those changes have been done by hand so I am not sure I manage to catch them all.
Mark Gates