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A Subspace Iteration Algorithm for Fredholm Valued Functions

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Mathematical Problems in Engineering

Hindawi Limited

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      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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            Author and article information

            Journal
            Mathematical Problems in Engineering
            Mathematical Problems in Engineering
            Hindawi Limited
            1024-123X
            1563-5147
            2015
            2015
            : 2015
            :
            : 1-14
            10.1155/2015/459895
            © 2015

            http://creativecommons.org/licenses/by/3.0/

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