The University of Southampton
University of Southampton Institutional Repository

Eigenvalue spectrum estimation and photonic crystals

Thomas, Ken S., Cox, Simon J., Beckett, Duan H., Hiett, Ben P., Generowicz, Jasek and Daniell, Geoffrey J. (2001) Eigenvalue spectrum estimation and photonic crystals In, Euro-Par 2001: Parallel Processing: 7th International Euro-Par Conference. 7th International Euro-Par Conference Berlin, Germany, Springer pp. 578-586. (Lecture Notes in Computer Science, 2150).

Record type: Book Section


We have developed an algorithm for the estimation of eigenvalue spectra and have applied it to the determination of the density of states in a photonic crystal, which requires the repeated solution of a generalized eigenvalue problem. We demonstrate that the algorithm offers significant advantages in time, memory, and ease of parallelization over conventional subspace iteration algorithms. In particular it is possible to obtain more than two orders of magnitude speedup in time over subspace methods for modestly sized matrices. For larger matrices the savings are even greater, whilst retaining accurate resolution of features of the eigenspectrum

Full text not available from this repository.

More information

Published date: 2001
Additional Information: Series ISSN 0302-9743
Venue - Dates: 7th International Euro-Par Conference, 2001-08-28 - 2001-08-31


Local EPrints ID: 21951
ISBN: 3540424954
PURE UUID: cedd1ba9-3cb7-4f7a-a332-0d7e73052cff

Catalogue record

Date deposited: 02 Mar 2007
Last modified: 17 Jul 2017 16:24

Export record


Author: Ken S. Thomas
Author: Simon J. Cox
Author: Duan H. Beckett
Author: Ben P. Hiett
Author: Jasek Generowicz
Author: Geoffrey J. Daniell

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton:

ePrints Soton supports OAI 2.0 with a base URL of

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.