TY - GEN A1 - Mehrmann, Volker A1 - Schröder, Christian A1 - Simoncini, Valeria T1 - An Implicitly-restarted Krylov Method for Real Symmetric/Skew-Symmetric Eigenproblems N2 - A new implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric generalized eigenvalue problems is presented. The new method improves and generalizes the SHIRA method to the case where the skew symmetric matrix is singular. It computes a few eigenvalues and eigenvectors of the matrix pencil close to a given target point. Several applications from control theory are presented and the properties of the new method are illustrated by benchmark examples. KW - Implicitely restarted Krylov method KW - skew-symmetric/symmetric pencil KW - even pencil KW - Hamiltonian matrix KW - passivity KW - robust control Y1 - 2009 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/586 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-5866 ER -