Journal article
Solving two-parameter eigenvalue problems using an alternating method
- 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 right definite problems, possibly after performing an affine transformation. This includes a class of Helmholtz equations when separation of variables is applied. We provide a convergence proof for extremal eigenvalues and empirical evidence along with a local convergence proof for other eigenvalues.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 959.6KB, Terms of use)
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- Publisher copy:
- 10.1016/j.laa.2022.02.024
Authors
- Publisher:
- Elsevier
- Journal:
- Linear Algebra and its Applications More from this journal
- Volume:
- 643
- Pages:
- 137-160
- Publication date:
- 2022-02-24
- Acceptance date:
- 2022-02-19
- DOI:
- ISSN:
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0024-3795
- Language:
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English
- Keywords:
- Pubs id:
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1241198
- Local pid:
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pubs:1241198
- Deposit date:
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2022-02-25
Terms of use
- Copyright holder:
- Eisenmann and Nakatsukasa
- Copyright date:
- 2022
- Rights statement:
- © 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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