Date:

Friday , August 31, 2001

Speaker:

Peter Arbenz

Affiliation:

Institute of Scientific Computing Swiss Federal Institute of Technology (ETH)

e-mail:

arbenz@inf.ethz.ch

Title:

A Comparison of Factorization-free Eigensolvers with Application to Cavity Resonators

Abstract:

We investigate eigensolvers for the generalized eigenvalue problem A x = lambda M x with symmetric A and symmetric positive definite M that do not require the factorization of neither A nor M. We compare various variants of preconditioned Rayleigh quotient minimization and preconditioned Jacobi-Davidson algorithm by means of large-scale finite element discretizations originating from the design of the new RF cavity ring cyclotron installed at the Paul Scherrer Institute (PSI) in Villigen, Switzerland.