A Subspace Iteration Algorithm for Fredholm Valued Functions
(2015) In Mathematical Problems in Engineering 2015.- Abstract
We present an algorithm for approximating an eigensubspace of a spectral component of an analytic Fredholm valued function. Our approach is based on numerical contour integration and the analytic Fredholm theorem. The presented method can be seen as a variant of the FEAST algorithm for infinite dimensional nonlinear eigenvalue problems. Numerical experiments illustrate the performance of the algorithm for polynomial and rational eigenvalue problems.
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https://lup.lub.lu.se/record/bff2687d-ea67-4fa2-b07b-383c5c385cbc
- author
- Engström, Christian LU and Grubišić, Luka
- publishing date
- 2015
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Mathematical Problems in Engineering
- volume
- 2015
- article number
- 459895
- publisher
- Hindawi Limited
- external identifiers
-
- scopus:84947563043
- ISSN
- 1024-123X
- DOI
- 10.1155/2015/459895
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2015 Christian Engström and Luka Grubišić.
- id
- bff2687d-ea67-4fa2-b07b-383c5c385cbc
- date added to LUP
- 2023-03-24 11:09:49
- date last changed
- 2023-03-24 14:05:51
@article{bff2687d-ea67-4fa2-b07b-383c5c385cbc, abstract = {{<p>We present an algorithm for approximating an eigensubspace of a spectral component of an analytic Fredholm valued function. Our approach is based on numerical contour integration and the analytic Fredholm theorem. The presented method can be seen as a variant of the FEAST algorithm for infinite dimensional nonlinear eigenvalue problems. Numerical experiments illustrate the performance of the algorithm for polynomial and rational eigenvalue problems.</p>}}, author = {{Engström, Christian and Grubišić, Luka}}, issn = {{1024-123X}}, language = {{eng}}, publisher = {{Hindawi Limited}}, series = {{Mathematical Problems in Engineering}}, title = {{A Subspace Iteration Algorithm for Fredholm Valued Functions}}, url = {{http://dx.doi.org/10.1155/2015/459895}}, doi = {{10.1155/2015/459895}}, volume = {{2015}}, year = {{2015}}, }