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2011.116: NLEVP: A Collection of Nonlinear Eigenvalue Problems

2011.116: Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder and Françoise Tisseur (2011) NLEVP: A Collection of Nonlinear Eigenvalue Problems.

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Abstract

We present a collection of 52 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 applications of nonlinear eigenvalue 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, Octave, CICADA
Subjects:MSC 2000 > 15 Linear and multilinear algebra; matrix theory
MSC 2000 > 65 Numerical analysis
MIMS number:2011.116
Deposited By:Nick Higham
Deposited On:22 December 2011

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