Re: Re: information on Eigensystem
- To: mathgroup at smc.vnet.net
- Subject: [mg33620] Re: [mg33594] Re: information on Eigensystem
- From: Bettina Hoser <Bettina.Hoser at em.uni-karlsruhe.de>
- Date: Wed, 3 Apr 2002 18:08:28 -0500 (EST)
- References: <01A0EEAE-46F3-11D6-98F9-00039311C1CC@tuins.ac.jp>
- Sender: owner-wri-mathgroup at wolfram.com
We use Version 4.1.0.0 under Linux Bettina Andrzej Kozlowski wrote: > Which version of Mathematica are you using? After replacing i with I, I > get a (very complicated) answer (Mathematica 4.1 for Mac OS X). I have > not tried to check its correctness. > > Andrzej > > > On Wednesday, April 3, 2002, at 08:01 PM, Bettina Hoser wrote: > >> Thanks you for your comment, but I have made the mistake to hand-write >> the matrix, which means, that I originally used I instead of i in the >> notebook, so it is not the letter. >> Is there any other solution? >> Best regards, >> Bettina >> >> Andrzej Kozlowski wrote: >> >>> 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 >>>>>> >>>>> >>>> >>>> >>>> >>>> >> >> >> -- Dipl.-Phys. Bettina Hoser >> Lehrstuhl für Informationsdienste und elektonische Märkte >> Fakultät für Wirtschaftswissenschaften >> Universität Karlsruhe (TH) >> 76128 Karlsruhe >> >> email: bettina.hoser at em.uni.karlsruhe.de >> Tel: 0721-608 8407 >> Fax: 0721-608 8403 >> >> >> -- Dipl.-Phys. Bettina Hoser Lehrstuhl für Informationsdienste und elektonische Märkte Fakultät für Wirtschaftswissenschaften Universität Karlsruhe (TH) 76128 Karlsruhe email: bettina.hoser at em.uni.karlsruhe.de Tel: 0721-608 8407 Fax: 0721-608 8403