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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BD - Information theory

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • 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