Outer enclosures to the parametric AE solution set
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10159428" target="_blank" >RIV/00216208:11320/13:10159428 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00500-013-1011-0" target="_blank" >http://dx.doi.org/10.1007/s00500-013-1011-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-013-1011-0" target="_blank" >10.1007/s00500-013-1011-0</a>
Alternative languages
Result language
angličtina
Original language name
Outer enclosures to the parametric AE solution set
Original language description
We consider systems of linear equations, where the elements of the matrix and of the right-hand side vector are linear functions of interval parameters. We study parametric AE solution sets, which are defined by universally and existentially quantified parameters, and the former precede the latter. Based on a recently obtained explicit description of such solution sets, we present three approaches for obtaining outer estimations of parametric AE solution sets. The first approach intersects inclusions ofparametric united solution sets for all combinations of the end-points of the universally quantified parameters. Polynomially computable outer bounds for parametric AE solution sets are obtained by parametric AE generalization of a single-step Bauer-Skeel method. In the special case of parametric tolerable solution sets, we derive an enclosure based on linear programming approach; this enclosure is optimal under some assumption. The application of these approaches to parametric tolerabl
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BD - Information theory
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Soft Computing
ISSN
1432-7643
e-ISSN
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Volume of the periodical
17
Issue of the periodical within the volume
8
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
1403-1414
UT code for WoS article
000321644600009
EID of the result in the Scopus database
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