Methods for large sparse eigenvalue problems from waveguide analysis

Chang Peng, Daniel Boley

Research output: Contribution to conferencePaper

1 Scopus citations

Abstract

We discuss several techniques for finding leading eigenvalues and eigenvectors for large sparse matrices. The techniques are demonstrated on a scalar Helmholtz equation derived from a model semiconductor rib waveguide problem. We compare the simple inverse iteration approach with more sophisticated methods, including minimum degree reordering, Arnoldi and Lanczos methods. We then propose a new Arnoldi method designed particularly for the constrained generalized eigenvalue problem, a formulation arising naturally from the scalar waveguide problem.

Original languageEnglish (US)
Pages645-652
Number of pages8
StatePublished - Jan 1 1996
EventProceedings of the 1996 12th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2) - Monterey, CA, USA
Duration: Mar 18 1996Mar 22 1996

Other

OtherProceedings of the 1996 12th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2)
CityMonterey, CA, USA
Period3/18/963/22/96

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    Peng, C., & Boley, D. (1996). Methods for large sparse eigenvalue problems from waveguide analysis. 645-652. Paper presented at Proceedings of the 1996 12th Annual Review of Progress in Applied Computational Electromagnetics. Part 1 (of 2), Monterey, CA, USA, .