Re: Re: information on Eigensystem

*To*: mathgroup at smc.vnet.net*Subject*: [mg33617] Re: [mg33594] Re: information on Eigensystem*From*: Bettina Hoser <Bettina.Hoser at em.uni-karlsruhe.de>*Date*: Wed, 3 Apr 2002 18:08:23 -0500 (EST)*References*: <22F60A7C-46E1-11D6-98F9-00039311C1CC@tuins.ac.jp>*Sender*: owner-wri-mathgroup at wolfram.com

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