Error Bounds on the Spectral Radius of Uncertain Matrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10099318" target="_blank" >RIV/00216208:11320/11:10099318 - isvavai.cz</a>
Result on the web
<a href="http://link.aip.org/link/?APCPCS/1389/882/1" target="_blank" >http://link.aip.org/link/?APCPCS/1389/882/1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.3636875" target="_blank" >10.1063/1.3636875</a>

Result language
angličtina
Original language name
Error Bounds on the Spectral Radius of Uncertain Matrices
Original language description
We deal with the problem of bounding spectral radius of uncertain matrices. We suppose that uncertainties are estimated by lower and upper limits, and the aim is to find the upper bound of the maximum spectral radius of such interval matrices. The upperlimit for the spectral radius is difficult to find but it is important, e.g., for testing the Schur stability of discrete dynamical systems. We propose two cheap and tight formulae to compute the demanding upper bounds; they are based on reductions to the case of symmetric interval matrices. Further, we adapt the filtering method to refine the computed values.
Czech name
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Czech description
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2011
ISBN
978-0-7354-0954-5
ISSN
1551-7616
e-ISSN
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Number of pages
4
Pages from-to
882-885
Publisher name
American Institute of Physics (AIP)
Place of publication
Melville, New York
Event location
Chalkidiki, Řecko
Event date
Sep 19, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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