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A Subspace Iteration Algorithm for Fredholm Valued Functions
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
University of Zagreb.
2015 (English)In: Mathematical problems in engineering (Print), ISSN 1024-123X, E-ISSN 1563-5147, Vol. 2015, 459895Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Hindawi Publishing Corporation, 2015. Vol. 2015, 459895
National Category
Computational Mathematics
Research subject
URN: urn:nbn:se:umu:diva-111101DOI: 10.1155/2015/459895ISI: 000364859000001OAI: diva2:867238
Available from: 2015-11-05 Created: 2015-11-05 Last updated: 2015-12-04Bibliographically approved

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Engström, Christian
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