Arnoldi versus Nonsymmetric Lanczos Algorithms for Solving Nonsymmetric Matrix Eigenvalue Problems

dc.contributor.authorCullum, Jane K.en_US
dc.date.accessioned2004-05-31T22:36:51Z
dc.date.available2004-05-31T22:36:51Z
dc.date.created1995-12en_US
dc.date.issued1998-10-15en_US
dc.description.abstractWe obtain several results which may be useful in determining the convergence behavior of eigenvalue algorithms based upo n Arnoldi and nonsymmetric Lanczos recursions. We derive a relationship between nonsymmetric Lanczos eigenvalue procedures and Arnoldi eigenvalue procedures. We demonstrate that the Arnoldi recursions preserve a property which characterizes normal matrices, and that if we could determine the appropriate starting vectors, we could mimic the nonsymmetric Lanczos eigenvalue convergence on a general diagonalizable matrix by its convergence on related normal matrices. Using a unitary equivalence for each of these Krylov subspace methods, we define sets of test problems where we can easily vary certain spectral properties of the matrices. We use these and other test problems to examine the behavior of an Arnoldi and of a nonsymmetric Lanczos procedure. (Also cross-referenced as UMIACS-TR-95-123)en_US
dc.format.extent496400 bytes
dc.format.mimetypeapplication/postscript
dc.identifier.urihttp://hdl.handle.net/1903/786
dc.language.isoen_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-3576en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-95-123en_US
dc.titleArnoldi versus Nonsymmetric Lanczos Algorithms for Solving Nonsymmetric Matrix Eigenvalue Problemsen_US
dc.typeTechnical Reporten_US
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