A rank-exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems

Author:

Van Beeumen Roel1,Jarlebring Elias2,Michiels Wim1

Affiliation:

1. Department of Computer Science; KU Leuven, University of Leuven; Heverlee 3001 Belgium

2. Department of Mathematics, NA group; KTH Royal Institute of Technology; Stockholm 100 44 Sweden

Funder

Dahlquist research fellowship

Programme of Interuniversity Attraction Poles of the Belgian Federal Science Policy Office

OPTEC

KU Leuven Research Council

Research Foundation-Flanders

Publisher

Wiley

Subject

Applied Mathematics,Algebra and Number Theory

Reference37 articles.

1. Templates for the Solution of Algebraic Eigenvalue Problems

2. The quadratic eigenvalue problem;Tisseur;SIAM Review,2001

3. A Krylov method for the delay eigenvalue problem;Jarlebring;SIAM Journal of Scientific Computing,2010

4. An Arnoldi method for nonlinear eigenvalue problems;Voss;BIT,2004

5. Unger G Analysis of boundary element methods for Laplacian eigenvalue problems In Monographic Series TU Graz, Computation in Engineering and Science, vol. 6. TU Graz/Büroservice Austria 2009

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