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Article View: sci.math.num-analysis
Article #1120

Condition Number

#1120
From: Han de Bruijn
Date: Mon, 11 Jan 1993 08:32
13 lines
1132 bytes
The condition number of a matrix  A  is defined as the absolute value of
its largest eigenvalue divided by its smallest eigenvalue. Right?

I'm at loss how this is related to the loss of decimals when solving the
equations system:
                      A.x = b

Can someone out there provide a simple argument?
-- 
* Han de Bruijn; Applications&Graphics | "A little bit of Physics * No
* TUD Computing Centre; P.O. Box 354   | would be NO idleness in  * Oil
* 2600 AJ  Delft; The Netherlands.     | Mathematics" (HdB).      * for
* E-mail: Han.deBruijn@RC.TUDelft.NL --| Fax: +31 15 78 37 87 ----* Blood
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Message-ID: <1993Jan11.083253.9521@dutrun2.tudelft.nl>
Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sun4nl!dutrun!dutrun2!dutrun2!rcpshdb

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Newsgroups: sci.math.num-analysis
Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sun4nl!dutrun!dutrun2!dutrun2!rcpshdb
From: rcpshdb@dutrun2.tudelft.nl (Han de Bruijn)
Subject: Condition Number
Message-ID: <1993Jan11.083253.9521@dutrun2.tudelft.nl>
Originator: rcpshdb@dutrun2.tudelft.nl
Sender: news@dutrun2.tudelft.nl (UseNet News System)
Nntp-Posting-Host: dutrun2.tudelft.nl
Reply-To: rcpshdb@dutrun2.tudelft.nl (Han de Bruijn)
Organization: Delft University of Technology
Date: Mon, 11 Jan 1993 08:32:53 GMT
Lines: 13