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Session III.1 - Numerical Linear Algebra

Wednesday, June 21, 14:00 ~ 14:30

On the optimal value for the conditioning of the eigenvector problem

Carlos Beltrán

Universidad de Cantabria, Spain   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

The condition number for eigenvalue--eigenvector pair computations is a well--studied quantity measuring how much the solution changes when the input is slightly perturbed. The eigenvalues of symmetric matrices are optimally conditioned, but, which is a perfectly conditioned matrix w.r.t. eigenvector computations? In this talk we answer this nontrivial question with exact first order asymptotic.

The author is partially supported by Grant PID2020-113887GB-I00 funded by MCIN/ AEI /10.13039/501100011033

Joint work with Joint work with Laurent Bétermin (Université Claude Bernard Lyon 1), Peter Grabner (Technische Universität Graz) and Stefan Steinerberger (University of Washington).

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