Polynomial eigenvalue problem

*To*: mathgroup at smc.vnet.net*Subject*: [mg58699] Polynomial eigenvalue problem*From*: "Alan" <info at optioncity.REMOVETHIS.net>*Date*: Fri, 15 Jul 2005 03:02:14 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

Does anyone know a Mathematica solution for the polynomial eigenvalue problem (PEP)? The PEP problem of order p . N is: Find the eigenvalues lambda, and eigenvectors v (each an N-vector) that solve (A_0 + lambda A_1 + lambda^2 A_2 + ... + lambda^p A_p) x = 0, where: p is a given integer, each coefficients A_i is a given N x N (real or complex) square matrix. There are p . N solution pairs (lambda, x) if the problem is not ill-posed. If both A_0 and A_p are singular the problem is potentially ill-posed. Thanks for any help, alan

**Follow-Ups**:**Re: Polynomial eigenvalue problem***From:*"Carl K. Woll" <carl@woll2woll.com>