Numerical Solutions of Eigenvalue Problems with Spectral Transformations

Date:Friday, April 10, 2009

Time:10:30am - 11:30am

Location: LNBL Bldg. 50B, Room 2222

Speaker:

Fei Xue

Department of Mathematics

University of Maryland

Abstract:

This talk concerns numerical algorithms for solving eigenvalue

problems, with emphasis on efficient iterative solution of the

sequence of linear systems that arise when inexact Rayleigh quotient

iteration, subspace iteration and implicitly restarted Arnoldi

method are applied to detect interior eigenvalues. We provide new

insights into the tuning of preconditioning proposed by Spence and

his collaborators, and show that the cost of solving these linear

systems can be further reduced by the combined use of several other

strategies.

Host of Seminar:

    Esmond G. Ng