A Model-Order Reduction Technique for Low Rank Rational Perturbations of Linear Eigenproblems

Large 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.

• Type: Conference
• Year: 2004
• Where: PARA
• Authors: Frank Blömeling, Heinrich Voss
• Keywords: Applied Computing, PARA 2004, Rational Eigenproblems, Rational Term, Sparse Rational Eigenproblems