A Subspace Iteration Algorithm for Fredholm Valued Functions

Christian Engström; Luka Grubišić

doi:10.1155/2015/459895

A Subspace Iteration Algorithm for Fredholm Valued Functions

Christian Engström, Luka Grubišić

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	459895
Journal	Mathematical Problems in Engineering
Volume	2015
DOIs	https://doi.org/10.1155/2015/459895
Publication status	Published - 2015
Externally published	Yes

Subject classification (UKÄ)

Computational Mathematics

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10.1155/2015/459895Licence: CC BY

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title = "A Subspace Iteration Algorithm for Fredholm Valued Functions",

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.",

author = "Christian Engstr{\"o}m and Luka Grubi{\v s}i{\'c}",

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AB - 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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DO - 10.1155/2015/459895

M3 - Article

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SN - 1024-123X

VL - 2015

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

M1 - 459895

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A Subspace Iteration Algorithm for Fredholm Valued Functions

Abstract

Subject classification (UKÄ)

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