Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 235, Issue 8, Pages 2715-2730Publisher
ELSEVIER
DOI: 10.1016/j.cam.2010.11.022
Keywords
Interval matrix; Real eigenvalue; Eigenvalue bounds; Regularity; Interval analysis
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In this paper we present an algorithm for approximating the range of the real eigenvalues of interval matrices. Such matrices could be used to model real-life problems, where data sets suffer from bounded variations such as uncertainties (e.g. tolerances on parameters, measurement errors), or to study problems for given states. The algorithm that we propose is a subdivision algorithm that exploits sophisticated techniques from interval analysis. The quality of the computed approximation and the running time of the algorithm depend on a given input accuracy. We also present an efficient C++ implementation and illustrate its efficiency on various data sets. In most of the cases we manage to compute efficiently the exact boundary points (limited by floating point representation). (C) 2010 Elsevier B.V. All rights reserved.
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