Non-linear Least-Squares Optimization of Rational Filters for the Solution of Interior Hermitian Eigenvalue Problems
نویسندگان
چکیده
منابع مشابه
Non-Linear Least-Squares Optimization of Rational Filters for the Solution of Interior Eigenvalue Problems
Rational filter functions improve convergence of contour-based eigensolvers, a popular algorithm family for the solution of the interior eigenvalue problem. We present an optimization method of these rational filters in the Least-Squares sense. Our filters out-perform existing filters on a large and representative problem set, which we show on the example of FEAST. We provide a framework for (n...
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This paper presents a method for computing partial spectra of Hermitian matrices, based on a subspace iteration method combined with rational filtering. While the general approach is the same as that of the FEAST package, the emphasis of this paper is on the selection of the filter. Specifically, the goal is to show the appeal of a least-squares viewpoint for designing filters. In particular, t...
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ژورنال
عنوان ژورنال: Frontiers in Applied Mathematics and Statistics
سال: 2019
ISSN: 2297-4687
DOI: 10.3389/fams.2019.00005