High performance solution of the complex symmetric eigenproblem |
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Authors: | Ilan Bar-On Marcin Paprzycki |
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Institution: | (1) Department of Chemistry, Technion, Israel Institute of Technology, Haifa, 32 000, Israel;(2) Department of Computer Science and Statistics, University of Southern Mississippi, Hattiesburg, MS 39406-5106, USA |
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Abstract: | Complex symmetric matrices often appear in quantum physics in the solution methods of partial differential equations such as the Schrödinger equation. We have recently introduced a new fast and efficient direct eigensolver for this problem in 4], and reported its performance in the eigenvalue calculation in 3]. In this paper, we further report on some benchmark tests for computing the full and partial eigenspectrum on a variety of super computing machines, i.e., the Cray J-932, the DEC Alfa 8400, and the SGI Power Challenge 8000 and 10000. We observe that in all cases the new algorithm is much faster than codes available in standard state of the art eigensolver packages such as LAPACK. |
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Keywords: | complex symmetric eigenvalues eigenvectors algorithms performance 15A18 65F15 65Y05 |
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