Eigenvalue Spectrum Estimation and Photonic Crystals

Thomas, K.S., Cox, S.J., Beckett, D.H., Hiett, B.P., Generowicz, J.M. and Daniell, G.J. (2001) Eigenvalue Spectrum Estimation and Photonic Crystals. In, 7th International Euro-Par Conference, Klagenfurt, Austria, Springer, 578-586.


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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: Conference or Workshop Item (Paper)
Additional Information: Event Dates: 2003 Address: Berlin
ISBNs: 3540424954
ISSNs: 0302-9743
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Electronic & Software Systems
ePrint ID: 262656
Accepted Date and Publication Date:
August 2001Published
Date Deposited: 31 May 2006
Last Modified: 31 Mar 2016 14:06
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/262656

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