A novel numerical method to determine the algebraic multiplicity of nonlinear eigenvalues

Xiao-Ping Chen and Hua Dai

Applied Mathematics and Computation, 2015, vol. 271, issue C, 344-351

Abstract: We generalize the algebraic multiplicity of the eigenvalues of nonlinear eigenvalue problems (NEPs) to the rational form and give the extension of the argument principle. In addition, we propose a novel numerical method to determine the algebraic multiplicity of the eigenvalues of the NEPs in a given region by the contour integral method. Finally, some numerical experiments are reported to illustrate the effectiveness of our method.

Keywords: Nonlinear eigenvalue problems; Algebraic multiplicity; Contour integral method (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:344-351

DOI: 10.1016/j.amc.2015.09.024

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