Re: Eigensystems
- To: mathgroup at smc.vnet.net
- Subject: [mg18899] Re: [mg18875] Eigensystems
- From: Hugh Walker <hwalker at gvtc.com>
- Date: Mon, 26 Jul 1999 14:27:44 -0400
- Sender: owner-wri-mathgroup at wolfram.com
Tony Harker <ahh at baker.phys.ucl.ac.uk> wrote
> Can anybody recommend an efficient method for solving the modified
>eigensystem
> A x = lambda B x
>numerically in Mathematica?
>
If Binv,the inverse of B exists, left-multiply through resulting in
(Binv.A).x = lambda x. This is then soluble by eigensystems. If B is not
invertable, then do the analogous thing with Ainv. In this case the
eigenvalue is 1/lambdq. If neither inverse exists, you have a bigger
problem.
==
Hugh Walker
Gnarly Oaks