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A filtering method for the interval eigenvalue problem

Abstract : We consider the general problem of computing intervals that contain the real eigenvalues of interval matrices. Given an outer approximation (superset) of the real eigenvalue set of an interval matrix, we propose a filtering method that iteratively improves the approximation. Even though our method is based on a sufficient regularity condition, it is very efficient in practice and our experimental results suggest that it improves, in general, significantly the initial outer approximation. The proposed method works for general, as well as for symmetric interval matrices.
keyword : Eigenvalue bounds
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https://hal.inria.fr/hal-00907740
Contributor : David Daney Connect in order to contact the contributor
Submitted on : Thursday, November 21, 2013 - 4:43:04 PM
Last modification on : Thursday, January 20, 2022 - 5:31:27 PM

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Milan Hladï­k, David Daney, Elias Tsigaridas. A filtering method for the interval eigenvalue problem. Applied Mathematics and Computation, Elsevier, 2011, 217 (12), pp.5236 - 5242. ⟨10.1016/j.amc.2010.09.066⟩. ⟨hal-00907740⟩

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