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.
Please use this url to cite or link to this publication:
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}},
}