Weak and strong solvability of interval linear systems of equations and inequalities

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10159426" target="_blank" >RIV/00216208:11320/13:10159426 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2013.02.012" target="_blank" >http://dx.doi.org/10.1016/j.laa.2013.02.012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2013.02.012" target="_blank" >10.1016/j.laa.2013.02.012</a>

Result language
angličtina
Original language name
Weak and strong solvability of interval linear systems of equations and inequalities
Original language description
We consider weak and strong solvability of general interval linear systems consisting of mixed equations and inequalities with mixed free and sign-restricted variables. We generalize the well-known weak solvability characterizations by Oettli-Prager (forequations) and Gerlach (for inequalities) to a unified framework. In the same manner, we extend strong solvability theorems to general interval linear systems. Next, we propose a sufficient condition for checking strong solvability. We give an application in linear programming with interval data. By means of weak and strong solvability we determine limits of the optimal values for any form of the problem setting.
Czech name
—
Czech description
—

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

Similar results(10)