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Article #29

Condition Number of a Matrix

#29
From: Kaushik Banerjee
Date: Thu, 29 Oct 1992 00:34
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Assume that you have a computer with the following properties:

1. Exact representation of base-10 numbers.
2. Infinite precision artimetic (no truncation).
3. Contributes no error to the input data in any way.

In solving Ax=b with such a non-existent computer, does
the condition number of A matter? If so, why?

K. Banerjee
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Message-ID: <1992Oct29.003442.23961@ncsu.edu>
Path: arc1-ca.pugleaf.net!sparky!uunet!destroyer!gatech!taco!grad09.math.ncsu.edu!kbanerje

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Newsgroups: sci.math.num-analysis
Path: arc1-ca.pugleaf.net!sparky!uunet!destroyer!gatech!taco!grad09.math.ncsu.edu!kbanerje
From: kbanerje@grad09.math.ncsu.edu (Kaushik Banerjee)
Subject: Condition Number of a Matrix
Message-ID: <1992Oct29.003442.23961@ncsu.edu>
Sender: news@ncsu.edu (USENET News System)
Organization: NCSU Mathematics Dept.
Date: Thu, 29 Oct 1992 00:34:42 GMT
Lines: 12