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Nonlinear eigenvalue approximation for compact operators
Journal article   Open access   Peer reviewed

Nonlinear eigenvalue approximation for compact operators

Shari Moskow
Journal of mathematical physics, v 56(11), p113512
01 Nov 2015
url
https://arxiv.org/abs/1408.3289View

Abstract

Physical Sciences Physics Physics, Mathematical Science & Technology
In the work of Osborn [Math. Comput. 29, 712-725 ( 1975)], a general spectral approximation theory was developed for compact operators on a Banach space which does not require that the operators be self-adjoint and also provides a first order correction term. Here, we extend some of the results of that paper to nonlinear eigenvalue problems. We present examples of its application that arise in electromagnetics and numerical analysis. (C) 2015 AIP Publishing LLC.

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Web of Science research areas
Physics, Mathematical
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