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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
83/2020

Solving two-parameter eigenvalue problems using an alternating method

Henrik Eisenmann and Yuji Nakatsukasa

Abstract

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.

Received:
Aug 7, 2020
Published:
Aug 9, 2020

Related publications

inJournal
2022 Journal Open Access
Henrik Eisenmann and Yuji Nakatsukasa

Solving two-parameter eigenvalue problems using an alternating method

In: Linear algebra and its applications, 643 (2022), pp. 137-160