COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics


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Algebra Seminar: A-Posteriori Error Bounds for Eigenvalue Perturbations


1:25pm, Neill 106W

Roden David

Abstract: In this talk, I will address the question: How do the eigenvalues change if the entries of a matrix are slightly perturbed? I will talk about the general error bounds given by Bauer and Fike (1960), and Kahan, Partlett, and Jiang (1980), and their refinements. I will also give special attention to the case when the matrix is normal.