NLEVP: A Collection of Nonlinear Eigenvalue Problems

Betcke, Timo and Higham, Nicholas J. and Mehrmann, Volker and Schröder, Christian and Tisseur, Françoise (2010) NLEVP: A Collection of Nonlinear Eigenvalue Problems. [MIMS Preprint]

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Abstract

We present a collection of 46 nonlinear eigenvalue problems 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 classification is given of polynomial eigenvalue problems according to their structural properties. Identifiers based on these and other properties can be used to extract particular types of problems from the collection. A brief description of each problem is given. NLEVP serves both to illustrate the tremendous variety of applicationseigenvalue problems and to provide representative problems for testing, tuning, and benchmarking of algorithms and codes.

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, benchmark, nonlinear eigenvalue problem, rational eigenvalue problem, polynomial eigenvalue problem, quadratic eigenvalue problem, even, odd, gyroscopic, symmetric, Hermitian, elliptic, hyperbolic, overdamped, palindromic, proportionally-damped, MATLAB, 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: 15 Nov 2010
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1542

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