Voß, HeinrichHeinrichVoß2006-02-172006-02-172003-02Preprint. Published in: BIT Numerical Mathematics, May 2004, Volume 44, Issue 2, pp 387–401http://tubdok.tub.tuhh.de/handle/11420/147For the nonlinear eigenvalue problem T(lambda)x = 0 we propose an iterative projection method for computing a few eigenvalues close to a given parameter. The current search space is expanded by a generalization of the shift-and-invert Arnoldi method. The resulting projected eigenproblems of small dimension are solved by inverse iteration. The method is applied to a rational eigenvalue problem governing damped vibrations of a structure.enhttp://rightsstatements.org/vocab/InC/1.0/nonlinear eigenvalue problemiterative projection methodresidual inverse iterationMathematikWorking Paper2006-02-27urn:nbn:de:gbv:830-opus-206710.15480/882.145Nichtlineares EigenwertproblemProjektionsverfahrenInversion <Mathematik>Eigenvalues, eigenvectors11420/14710.1023/B:BITN.0000039424.56697.8b10.15480/882.145930768071Working Paper