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Stability of the linear complementarity problem properties under interval uncertainty

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10437077" target="_blank" >RIV/00216208:11320/21:10437077 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=a6qqUVtfhX" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=a6qqUVtfhX</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10100-021-00745-6" target="_blank" >10.1007/s10100-021-00745-6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stability of the linear complementarity problem properties under interval uncertainty

  • Original language description

    We consider the linear complementarity problem with uncertain data modeled by intervals, representing the range of possible values. Many properties of the linear complementarity problem (such as solvability, uniqueness, convexity, finite number of solutions etc.) are reflected by the properties of the constraint matrix. In order that the problem has desired properties even in the uncertain environment, we have to be able to check them for all possible realizations of interval data. This leads us to the robust properties of interval matrices. In particular, we will discuss S-matrix, Z-matrix, copositivity, semimonotonicity, column sufficiency, principal nondegeneracy, R0-matrix and R-matrix. We characterize the robust properties and also suggest efficiently recognizable subclasses.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    50201 - Economic Theory

Result continuities

  • Project

    <a href="/en/project/GA18-04735S" target="_blank" >GA18-04735S: Novel approaches for relaxation and approximation techniques in deterministic global optimization</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Central European Journal of Operations Research

  • ISSN

    1435-246X

  • e-ISSN

  • Volume of the periodical

    29

  • Issue of the periodical within the volume

    September

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    15

  • Pages from-to

    875-889

  • UT code for WoS article

    000636205500001

  • EID of the result in the Scopus database

    2-s2.0-85103562118