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MathGroup Archive 2002

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Re: information on Eigensystem

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33582] Re: [mg33574] information on Eigensystem
  • From: zleyk at tca.net
  • Date: Tue, 2 Apr 2002 03:36:30 -0500 (EST)
  • References: <200204010702.CAA24457@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Eigensystem, Eigenvalues and Eigenvectors in Mathematica (versions 3.x and
4.x) are based on the numerical package EISPACK, or to be more precise, this
part of EISPACK which computes eigenvalues/eigenvectors for general square
matrices. Mathematica does not have a specialized code for dealing with
symmetric matrices.

Zbigniew Leyk

Borut L wrote:
>  Hello,
>  
>  I am doing a comparison between three methods for finding an eigensystem of
>  a matrix, Numerical Recipes tqli + tred2, jacobi, and Mathematica's
>  Eigensystem[].
>  
>  I would like to acquire info on which algorithm does Mathematica have for
>  finding it out? What does she do in a case of a real symmetric matrix? I am
>  asking it because I haven't found anything in the implementation notes.
>  
>  Thank you for you time,
>  
>  Borut from Slovenia
>  
>  


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