NLEVP: A Collection of Nonlinear Eigenvalue Problems

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise (2008) NLEVP: A Collection of Nonlinear Eigenvalue Problems. [MIMS Preprint]

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Abstract

We describe a collection of nonlinear eigenvalue problems that we provide in the form of a MATLAB toolbox. The collection contains problems from models of real-life applications as well as ones constructed specifically to have particular properties. A brief description is given of each problem and the problems are classified according to their structural properties.

Item Type: MIMS Preprint
Additional Information: The MATLAB toolbox described herein can be found at http://www.mims.manchester.ac.uk/research/numerical-analysis/nlevp.html
Uncontrolled Keywords: test problem, nonlinear eigenvalue problem, rational eigenvalue problem, polynomial eigenvalue problem, quadratic eigenvalue problem, hyperbolic, overdamped, palindromic, proportionally-damped, CICADA
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 15 Linear and multilinear algebra; matrix theory
MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User: Nick Higham
Date Deposited: 07 May 2008
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1071

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