Bounds on eigenvalues and singular values of interval matrices

Abstract : We study bounds on eigenvalues of interval matrices, and our aim is to develop fast computable formulae that produce as-sharp-as-possible bounds. We consider two cases: general (unsymmetric) and symmetric interval matrices. We focus on the latter case, since on one hand these such interval matrices have many applications in mechanics and engineering, and on the other many results from classical matrix analysis could be applied to them. We also provide bounds for the singular values of (generally non-square) interval matrices. Finally, we illustrate and compare the various approaches by a series of examples.
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Rapport
[Research Report] 2009, pp.18
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Contributeur : David Daney <>
Soumis le : mardi 24 mars 2009 - 16:21:49
Dernière modification le : jeudi 5 avril 2018 - 10:55:38
Document(s) archivé(s) le : jeudi 10 juin 2010 - 18:29:07

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  • HAL Id : inria-00370603, version 1

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Milan Hladik, David Daney, Elias P. Tsigaridas. Bounds on eigenvalues and singular values of interval matrices. [Research Report] 2009, pp.18. 〈inria-00370603〉

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