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