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Re: Banded triadiagonal eigenvalues

• To: mathgroup at smc.vnet.net
• Subject: [mg92306] Re: Banded triadiagonal eigenvalues
• From: Szabolcs Horvát <szhorvat at gmail.com>
• Date: Sat, 27 Sep 2008 06:50:12 -0400 (EDT)
• Organization: University of Bergen
• References: <gbh4jd$mro$1@smc.vnet.net>

dkjk at bigpond.net.au wrote:
> Hi,
> 
> I'm trying to solve a pair of coupled ODEs using the finite difference
> method.  As such I need to find eigenvalues/eigenvectors of banded
> tridiagonal matrices.
> 
> I don't trust the results I'm getting from Eigensystem.
> 
> Does mathematica have any dedicated algorithm for such matrices?
> 

Take a look at the Linear Algebra section in Advanced Topics in the 
documentation:

http://reference.wolfram.com/mathematica/tutorial/LinearAlgebraInMathematicaOverview.html