Bounds on eigenvalues of real and complex interval matrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10159430" target="_blank" >RIV/00216208:11320/13:10159430 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2012.11.075" target="_blank" >http://dx.doi.org/10.1016/j.amc.2012.11.075</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2012.11.075" target="_blank" >10.1016/j.amc.2012.11.075</a>

Result language
angličtina
Original language name
Bounds on eigenvalues of real and complex interval matrices
Original language description
We present a cheap and tight formula for bounding real and imaginary parts of eigenvalues of real or complex interval matrices. It outperforms the classical formulae not only for the complex case but also for the real case. In particular, it generalizesand improves the results by Rohn (1998) [5] and Hertz (2009) [19]. The main idea behind is to reduce the problem to enclosing eigenvalues of symmetric interval matrices, for which diverse methods can be utilized. The result helps in analysing stability of uncertain dynamical systems since the formula gives sufficient conditions for testing Schur and Hurwitz stability of interval matrices. It may also serve as a starting point for some iteration methods.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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