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Re: eigs compatibility


From: Daniel J Sebald
Subject: Re: eigs compatibility
Date: Thu, 04 Jul 2013 23:18:19 -0500
User-agent: Mozilla/5.0 (X11; U; Linux x86_64; en-US; rv:1.9.2.24) Gecko/20111108 Fedora/3.1.16-1.fc14 Thunderbird/3.1.16

On 07/04/2013 05:52 PM, Ed Meyer wrote:


On Thu, Jul 4, 2013 at 12:54 PM, Daniel J Sebald <address@hidden
<mailto:address@hidden>> wrote:

    On 07/04/2013 02:21 PM, John W. Eaton wrote:

        On 07/04/2013 03:03 PM, Daniel J Sebald wrote:

        I have no clue why ARPACK has the limitation of providing at
        most N-2
        eigenvalues, but that's the way it works. I'm not going to try
        to fix
        that problem.


they use a shifting strategy to get eigenvalues clustered nearest a
given shift, so
if you want all the eigenvalues for a large sparse matrix you can call
arpack twice,
once for k/2 eigenvalues at the low end of the spectrum, and again for
the k/2 at
the high end.

Creative idea.  I might try a time comparison.


 "Large" is greater than 300th order even on my klunky
laptop; otherwise
it makes more sense to just call the lapack routines if the user wants a
large percentage
of the eigenvalues.

Thanks Ed.

Dan


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