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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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 (for equations) 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. 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 (for equations) 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. (en)
Title	Weak and strong solvability of interval linear systems of equations and inequalities Weak and strong solvability of interval linear systems of equations and inequalities (en)
skos:prefLabel	Weak and strong solvability of interval linear systems of equations and inequalities Weak and strong solvability of interval linear systems of equations and inequalities (en)
skos:notation	RIV/00216208:11320/13:10159426!RIV14-GA0-11320___
http://linked.open...avai/predkladatel	Matematicko-fyzikální fakulta
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA13-10660S)
http://linked.open...iv/cisloPeriodika	11
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Hladík, Milan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	117152
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/13:10159426
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Interval linear system; Interval analysis; Interval matrix (en)
http://linked.open.../riv/klicoveSlovo	Interval analysis Interval linear system Interval matrix
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[05220A89178C]
http://linked.open...i/riv/nazevZdroje	Linear Algebra and Its Applications
http://linked.open...in/vavai/riv/obor	BB
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Interval methods for optimization problems
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	438
http://linked.open...iv/tvurceVysledku	Hladík, Milan
http://linked.open...ain/vavai/riv/wos	000317441100004
issn	0024-3795
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.laa.2013.02.012
http://localhost/t...ganizacniJednotka	11320

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