Abstract

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.

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