Re: Left eigenvector of generalized eigenvalue problem

*To*: mathgroup at smc.vnet.net*Subject*: [mg76887] Re: [mg76860] Left eigenvector of generalized eigenvalue problem*From*: Carl Woll <carlw at wolfram.com>*Date*: Tue, 29 May 2007 05:02:34 -0400 (EDT)*References*: <200705280912.FAA19327@smc.vnet.net> <465ADEDA.5070007@wolfram.com> <4b15baf10705281343x70580c3ejd986137041d94536@mail.gmail.com>

Hussain AlQahtani wrote: > Dear Carl > Thansk for the prompt reply. > Eigenvalues[{A,B}] gives the right eigenvector, however, I am > interested in calcualating the left eigenvector. > > Thanks, According to Mathematica's help: The generalized eigenvalues of m with respect to a are those lambda for which m.v == lambda a.v. Isn't this the exact same equation as you have listed? Did you mean you were interested in the eigenvalue problem x . A == lambda x . B instead of what you wrote? If so, can't you just use Eigenvalues[Transpose /@ {A, B}]? Carl Woll Wolfram Research > > On 5/28/07, *Carl Woll* <carlw at wolfram.com <mailto:carlw at wolfram.com>> > wrote: > > KFUPM wrote: > > >Dear group members, > > > >I am wondering how to compute the LEFT eigenvector of the > GENERALIZED > >eigenvalue problem: > > > >A x = lambda B x > > > >Thanks in anticipation for prompt reply. > > > >Regards, > > > > > > > Try > > Eigenvalues[{A, B}] > > Carl Woll > Wolfram Research > > > > > -- > Hussain Al-Qahtani, Ph.D. > Assistant Professor > > Department of Mechanical Engineering > King Fahd University of Petroleum and Minerals > P.O. Box 414 Dhahran, 31261 > Saudi Arabia > > 966-3-860-2864 (Office) > 966-3-860-2949 (Fax) >

**References**:**Left eigenvector of generalized eigenvalue problem***From:*KFUPM <hussain.alqahtani@gmail.com>