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, 578-586. (Lecture Notes in Computer Science 2150).


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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

Item Type: Book Section
Additional Information: Series ISSN 0302-9743
ISBNs: 3540424954 (hardback)
Related URLs:
Subjects: T Technology > T Technology (General)
Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences
University Structure - Pre August 2011 > School of Electronics and Computer Science
University Structure - Pre August 2011 > School of Physics and Astronomy
ePrint ID: 21951
Accepted Date and Publication Date:
Date Deposited: 02 Mar 2007
Last Modified: 31 Mar 2016 11:40
URI: http://eprints.soton.ac.uk/id/eprint/21951

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