A filtering method for the interval eigenvalue problem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10099313" target="_blank" >RIV/00216208:11320/11:10099313 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.amc.2010.09.066" target="_blank" >http://dx.doi.org/10.1016/j.amc.2010.09.066</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2010.09.066" target="_blank" >10.1016/j.amc.2010.09.066</a>

Result language

angličtina

Original language name

A filtering method for the interval eigenvalue problem

Original language description

We consider the general problem of computing intervals that contain the real eigenvalues of interval matrices. Given an outer approximation (superset) of the real eigenvalue set of an interval matrix, we propose a filtering method that iteratively improves the approximation. Even though our method is based on a sufficient regularity condition, it is very efficient in practice and our experimental results suggest that it improves, in general, significantly the initial outer approximation. The proposed method works for general, as well as for symmetric interval matrices.

Czech name

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Czech description

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Type

J_x - 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

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Applied Mathematics and Computation (New York)

ISSN

0096-3003

e-ISSN

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Volume of the periodical

217

Issue of the periodical within the volume

12

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

7

Pages from-to

5236-5242

UT code for WoS article

000286969000007

EID of the result in the Scopus database

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