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Sufficient Conditions for Pseudoconvexity by Using Linear Interval Parametric Techniques

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10401029" target="_blank" >RIV/00216208:11320/19:10401029 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1063/1.5089968" target="_blank" >https://doi.org/10.1063/1.5089968</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.5089968" target="_blank" >10.1063/1.5089968</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Sufficient Conditions for Pseudoconvexity by Using Linear Interval Parametric Techniques

  • Original language description

    The recent paper (DOI: 10.1007/s10898-017-0537-6) suggests various practical tests (sufficient conditions) for checking pseudoconvexity of a twice differentiable function on an interval domain. The tests were implemented using interval extensions of the gradient and the Hessian of the function considered. In this paper, we present an alternative approach which is based on the use of linear interval parametric enclosures of the gradient and the Hessian. It is shown that the new approach results in more efficient tests for checking pseudoconvexity.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • 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

    2019

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    14TH INTERNATIONAL GLOBAL OPTIMIZATION WORKSHOP (LEGO)

  • ISBN

    978-0-7354-1798-4

  • ISSN

    0094-243X

  • e-ISSN

  • Number of pages

    4

  • Pages from-to

    4

  • Publisher name

    AMER INST PHYSICS

  • Place of publication

    MELVILLE

  • Event location

    Leiden

  • Event date

    Sep 18, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000472773300001