Non-linear Least-Squares Optimization of Rational Filters for the Solution of Interior Hermitian Eigenvalue Problems

Rational filter functions can be used to improve convergence of contour-based eigensolvers, a popular family of algorithms for the solution of the interior eigenvalue problem. We present a framework for the optimization of rational filters based on a non-convex weighted Least-Squares scheme. When us...

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Bibliographic Details
Main Authors: Jan Winkelmann, Edoardo Di Napoli
Format: Article
Language:English
Published: Frontiers Media S.A. 2019-02-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fams.2019.00005/full