AE solutions and AE solvability to general interval linear systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10313037" target="_blank" >RIV/00216208:11320/15:10313037 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2014.09.030" target="_blank" >http://dx.doi.org/10.1016/j.laa.2014.09.030</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2014.09.030" target="_blank" >10.1016/j.laa.2014.09.030</a>

Result language
angličtina
Original language name
AE solutions and AE solvability to general interval linear systems
Original language description
We consider linear systems of equations and inequalities with coefficients varying inside given intervals. We define their solutions (so-called AE solutions) and solvability (so-called AE solvability) by using forall exists quantification of interval parameters. We present an explicit description of the AE solutions, and discuss complexity issues as well. For AE solvability, we propose a sufficient condition only, but for a specific subclass of problems, a complete characterization is developed. Moreover, we investigate inequality systems for which AE solvability is equivalent to existence of an AE solution.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
—

Project
<a href="/en/project/GA13-10660S" target="_blank" >GA13-10660S: Interval methods for optimization problems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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