Solving two-parameter eigenvalue problems using an alternating method

08/07/2020

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by   Henrik Eisenmann, et al.

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We present a new approach to compute selected eigenvalues and eigenvectors of the two-parameter eigenvalue problem. Our method requires computing generalized eigenvalue problems of the same size as the matrices of the initial two-parameter eigenvalue problem. The method is applicable for a class of Helmholtz equations when separation of variables is applied.