Re: Re: information on Eigensystem

*To*: mathgroup at smc.vnet.net*Subject*: [mg33615] Re: [mg33594] Re: information on Eigensystem*From*: Andrzej Kozlowski <andrzej at tuins.ac.jp>*Date*: Wed, 3 Apr 2002 18:08:21 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

The obvious answer is to replace i with I. Andrzej Kozlowski Toyama International University JAPAN http://platon.c.u-tokyo.ac.jp/andrzej/ On Wednesday, April 3, 2002, at 03:13 PM, Bettina wrote: > Hi > I have another question concerning Eigensystem: I try to get the > Eigensystem for heritian (complex) matrices. Following my test matrix > M={{65,3+6i,12-6i,4-2i},{3-6i,30,0,30},{12+6i,0,9,3},{4+2i,30,3,46}}. > But if I try to get Eigensystem[M] nothing comes up. What could be the > problem? I have already found out (archive) that there seem to be some > special effects when using Eigensystem on complex matrices, but these > messages dated from 1999 and 2000. Has anything changed since then? Is > there a way to solve my problem? > Thanks for help > Bettina > > Jens-Peer Kuska wrote: >> Hi, >> >> the Numerical Recipes use the EISPACK code and one can't do better >> than to use EISPACK or the original ALGOL source for >> Wilinson/Reinsch. >> >> Regards >> Jens >> >> 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 >>> >> > > > >