Article View: sci.math.num-analysis
Article #1127Re: Condition Number
From: Andrew Pitonyak
Date: Mon, 11 Jan 1993 15:44
Date: Mon, 11 Jan 1993 15:44
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In article <1993Jan11.083253.9521@dutrun2.tudelft.nl> rcpshdb@dutrun2.tudelft.nl (Han de Bruijn) writes: >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? You did say simple right? Consider that a singular matrix has smallest magnitude eigenvalue of zero. The closer to singular in some sense. Also, dividing by a small number gives a larger condition number. andy pitonyak@cis.ohio-state.edu
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Newsgroups: sci.math.num-analysis Path: arc1-ca.pugleaf.net!sparky!uunet!cis.ohio-state.edu!lightning.cis.ohio-state.edu!pitonyak From: pitonyak@lightning.cis.ohio-state.edu (Andrew Pitonyak) Subject: Re: Condition Number Message-ID: <1993Jan11.154439.21697@cis.ohio-state.edu> Sender: news@cis.ohio-state.edu (NETnews ) Organization: The Ohio State University Dept. of Computer and Info. Science References: <1993Jan11.083253.9521@dutrun2.tudelft.nl> Date: Mon, 11 Jan 1993 15:44:39 GMT Lines: 20