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).


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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 (print)
Venue - Dates: 7th International Euro-Par Conference, 2001-08-28 - 2001-08-31
Related URLs:
ePrint ID: 21951
Date :
Date Event
Date Deposited: 02 Mar 2007
Last Modified: 16 Apr 2017 22:53
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/21951

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