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Nongeneric eigenvalue perturbations of Jordan blocks

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1998Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 273, pages 45-63 (issn: 0024-3795,

Authors: Yanyuan Ma; Alan Edelman;

doi: 10.1016/s0024-3795(97)00342-x

Nongeneric eigenvalue perturbations of Jordan blocks

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Abstract

Conditions under which a Jordan block is perturbed are presented. The nontypical behaviour of the eigenvalues split up into some rings of different sizes is studied.

Related Organizations

Massachusetts Institute of Technology
United States

Keywords

Numerical Analysis, Algebra and Number Theory, nongeneric eigenvalue perturbation, Canonical forms, reductions, classification, Discrete Mathematics and Combinatorics, Geometry and Topology, Inequalities involving eigenvalues and eigenvectors, Jordan block

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NSF| Analyzing & Improving Numerical Algorithms for Eigenproblems Using Singularity Theory and Riemannian Geometry