Numerical methods for sparse nonlinear eigenvalue problems

Heinrich Voß · tub.dok (Hamburg University of Technology) · 2004

This paper surveys numerical methods for general sparse nonlinear eigenvalue problems with special emphasis on iterative projection methods like Jacobi–Davidson, Arnoldi or rational Krylov methods. We briefly sketch a new approach to structure preserving projection methods, but we do not review the rich literature on polynomial eigenproblems which take advantage of a linearization of the problem.

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