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Article View: sci.math.num-analysis
Article #17

Complex Eits

#17
From: Andrew Gill
Date: Wed, 28 Oct 1992 04:13
24 lines
1219 bytes
Newsgroups: math.sci.num-analysis
Subject: Finding Largest Imag Part Complex Eigenvalue
Distribution: world
Organization: James Cook University

Hi.  

Im solving some hydrodynamic stability problems numerically and wind up
needing to find the complex eigenvalue which has the largest imaginary 
part, of a possibly complex matrix.

Currently I am using the QR
algorithm (IMSL) which solves for all eigenvalues and is kind of time
consuming (wasting?) when my matrices are around 200 or 300 big. 

Are there routines which can find just that *one* eigenvalue with the
largest imaginary part?  I had hoped to stay away from methods requiring
initial guesses at the eigenvalue.  My matrices arent symmetric or
anything else nice.

Thanks for any info

Andrew Gill
maawg@manta.jcu.edu.au
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Newsgroups: sci.math.num-analysis
Path: arc1-ca.pugleaf.net!sparky!uunet!pmafire!news.dell.com!natinst.com!cs.utexas.edu!zaphod.mps.ohio-state.edu!rpi!batcomputer!munnari.oz.au!bunyip.cc.uq.oz.au!marlin.jcu.edu.au!maawg
From: maawg@marlin.jcu.edu.au (Andrew Gill)
Subject: Complex Eits
Message-ID: <1992Oct28.041326.9273@marlin.jcu.edu.au>
Organization: James Cook University
Date: Wed, 28 Oct 92 04:13:26 GMT
Lines: 24