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Subspace iteration search method for generalized eigenvalue problems with sparse complex unsymmetric matrices in finite-element analysis of waveguides

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2 Author(s)
Arroyo, J. ; Dept. de Electromagnetismo y Teoria de Circuitos, Univ. Politecnica de Madrid, Spain ; Zapata, J.

In this paper, a numerical method for the robust computation of the number of eigenvalues within a closed contour of a generalized complex eigenvalue problem is presented. As a result of this computation, it is possible to perform a systematic search for the eigenvalues, ensuring that no eigenvalues are forgotten, and to optimize their calculation. Application is made to the finite-element modal analysis of inhomogeneous waveguides

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:46 ,  Issue: 8 )