Characterizing and approximating eigenvalue sets of symmetric interval matrices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10100366" target="_blank" >RIV/00216208:11320/11:10100366 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.camwa.2011.08.028" target="_blank" >http://dx.doi.org/10.1016/j.camwa.2011.08.028</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2011.08.028" target="_blank" >10.1016/j.camwa.2011.08.028</a>
Alternative languages
Result language
angličtina
Original language name
Characterizing and approximating eigenvalue sets of symmetric interval matrices
Original language description
We consider the eigenvalue problem for the case where the input matrix is symmetric and its entries are perturbed, with perturbations belonging to some given intervals. We present a characterization of some of the exact boundary points, which allows us to introduce an inner approximation algorithm, that in many case estimates exact bounds. To our knowledge, this is the first algorithm that is able to guarantee exactness. We illustrate our approach by several examples and numerical experiments.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
—
Result continuities
Project
—
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers and Mathematics with Applications
ISSN
0898-1221
e-ISSN
—
Volume of the periodical
62
Issue of the periodical within the volume
8
Country of publishing house
GB - UNITED KINGDOM
Number of pages
12
Pages from-to
3152-3163
UT code for WoS article
000296213200027
EID of the result in the Scopus database
—