A model-order reduction technique for low rank rational perturbations of linear eigenproblems

Voß, HeinrichHeinrichVoßBlömeling, FrankFrankBlömeling2005-12-162005-12-162004-08pp. 296-304 in J. Dongarra, K. Madsen, J. Wasniewski (eds.), PARA 2004http://tubdok.tub.tuhh.de/handle/11420/66Large and sparse rational eigenproblems where the rational term is of low rank k arise in vibrations of fluid–solid structures and of plates with elastically attached loads. Exploiting model order reduction techniques, namely the Pad´e approximation via block Lanczos method, problems of this type can be reduced to k–dimensional rational eigenproblems which can be solved efficiently by safeguarded iteration.enhttp://rightsstatements.org/vocab/InC/1.0/sparse rational eigenproblemLanczos methodmodel order reduction techniqueMathematikA model-order reduction technique for low rank rational perturbations of linear eigenproblemsConference Paper2005-12-16urn:nbn:de:gbv:830-opus-119510.15480/882.64Nichtlineares EigenwertproblemLanczos-VerfahrenMagnetohydrodynamics and electrohydrodynamics11420/6610.15480/882.64930768184Conference Paper