Nonlinear eigenvalue problems and contour integrals

• Marc Van Barel ^[1] ; Peter Kravanja ^[1]
  1. [1] KU Leuven

     KU Leuven

     Arrondissement Leuven, Bélgica

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 526-540
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.07.012
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• Resumen

  • In this paper Beyn’s algorithm for solving nonlinear eigenvalue problems is given a new interpretation and a variant is designed in which the required information is extracted via the canonical polyadic decomposition of a Hankel tensor. A numerical example shows that the choice of the filter function is very important, particularly with respect to where it is positioned in the complex plane.