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Eigenvalues of Graded Matrices and the Condition Numbers of a Multiple Eigenvalue

dc.contributor.authorStewart, G. W.en_US
dc.contributor.authorZhang, G.en_US
dc.description.abstractThis paper concerns two closely related topics: the behavior of the eigenvalues of graded matrices and the perturbation of a nondefective multiple eigenvalue. We will show that the eigenvalues of a graded matrix tend to share the graded structure of the matrix and give precise conditions insuring that this tendency is realized. These results are then applied to show that the secants of the canonical angles between the left and right invariant subspaces of a multiple eigenvalue tend to characterize its behavior when its matrix is slightly perturbed. (Also cross-referenced as UMIACS-TR-90-31) Appeared in Numerische Mathematik 58 (1991) 703--712.en_US
dc.format.extent149489 bytes
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-2420en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-90-31en_US
dc.titleEigenvalues of Graded Matrices and the Condition Numbers of a Multiple Eigenvalueen_US
dc.typeTechnical Reporten_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

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