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Re: Diagonalize sparse matrix and documentation in version 6.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg92257] Re: Diagonalize sparse matrix and documentation in version 6.
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Wed, 24 Sep 2008 03:33:27 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <gbake6$12a$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

you
"However, I found no mention of these options in the documentation "
???

Hmm .. Open the Help-Notebook for Eigensystem[] amd look into the
"Possible Issues" section and ... what is the last example ??

{vals, vecs} = Eigensystem[s, 3, Method -> {"Arnoldi", Shift -> -4}];

And if you type in

Eigensystem[{{1, 0}, {0, 1}}, Method -> "foo"]

what does Mathematica say

Eigensystem::emeth: "The method specified by Method -> "foo"
should be either Automatic or Arnoldi. "

Regards
   Jens


Thibaut Jonckheere wrote:
> Dear Group,
> 
> I am currently writing code involving the diagonalization of large 
> sparse matrix.  With a little research, I found this post on the group:
> http://groups.google.com/group/comp.soft-sys.math.mathematica/browse_thread/thread/04e12cc442615ff1
> explaining some very useful options (like Method -> {Arnoldi, 
> MaxIterations -> 10^5,
> Criteria -> RealPart}).
>     However, I found no mention of these options in the documentation 
> center of my Mathematica v6. The best I could find is this page on 
> Wolfram site: 
> http://documents.wolfram.com/v5/Built-inFunctions/AdvancedDocumentation/LinearAlgebra/4.4.html
> but the page is for version 5.0 and called obsolete. I could not find an 
> equivalent page for version 6.  Am I missing something, or are these 
> options for eigensystems not documented in version 6.0 ?
> 
> 
> Thanks for any help,
> 
> 
> Thibaut Jonckheere
> 
> 
> 
> 


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