Voß, HeinrichHeinrichVoß2005-12-162005-12-162004-01Proc. XVth Summer School on Software and Alg. of Num Math., Hejnice, Czech Republikhttp://tubdok.tub.tuhh.de/handle/11420/68This 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.enhttp://rightsstatements.org/vocab/InC/1.0/nonlinear eigenvalue problemiterative projection methodJacobi–Davidson methodArnoldi methodrational Krylov methodMathematikNumerical methods for sparse nonlinear eigenvalue problemsConference Paper2005-12-16urn:nbn:de:gbv:830-opus-121310.15480/882.66Nichtlineares EigenwertproblemProjektionsverfahrenIterationKrylov-VerfahrenNonlinear eigenvalue problems, nonlinear spectral theory for PDOEigenvalues, eigenvectors11420/6810.15480/882.66930768186Conference Paper