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[Octave-bug-tracker] [bug #33503] null.m: tolerance for zero in basis el


From: Jordi Gutiérrez Hermoso
Subject: [Octave-bug-tracker] [bug #33503] null.m: tolerance for zero in basis elements
Date: Fri, 10 Jun 2011 22:09:20 +0000
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:2.0) Gecko/20110327 Firefox/4.0 Iceweasel/4.0

Follow-up Comment #6, bug #33503 (project octave):

Olaf,

0.3 - 0.2 - 0.1 should also be zero, but it's not. This is not a bug nor does
this need fixing.

I was expecting a discussion for why the tolerance should be set by default to
something else and what this tolerance should be. A discussion for proving
something is zero while disregarding numerical error is not relevant to this
problem.

I also do not think that the tolerance should be a fixed value, since
obviously if the dimensionality of the problem is large, the entries in
null(A) get smaller, so the tolerance sould depend on this dimensionality (and
perhaps the maximum value in each column). I also would like to understand why
null by default should use a special tolerance instead of letting the user
handle numerical error herself.

Thanks.

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