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On relation between P-matrices and regularity of interval matrices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365260" target="_blank" >RIV/00216208:11320/17:10365260 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-49984-0_2" target="_blank" >http://dx.doi.org/10.1007/978-3-319-49984-0_2</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-49984-0_2" target="_blank" >10.1007/978-3-319-49984-0_2</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On relation between P-matrices and regularity of interval matrices

  • Original language description

    We explore new results between P-matrix property and regularity of interval matrices. In particular, we show that an interval matrix is regular in and only if some special matrices constructed from its center and radius matrices are P-matrices. We also investigate the converse direction. We reduce the problem of checking P-matrix property to regularity of a special interval matrix. Based on this reduction, novel sufficient condition for a P-matrix property is derived, and its strength is inspected. We also state a new observation to interval P-matrices.

  • 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/GA13-10660S" target="_blank" >GA13-10660S: Interval methods for optimization problems</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Applied and Computational Matrix Analysis. MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions

  • ISBN

    978-3-319-49984-0

  • ISSN

    2194-1009

  • e-ISSN

    neuvedeno

  • Number of pages

    9

  • Pages from-to

    27-35

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Coimbra, Portugal

  • Event date

    Sep 7, 2015

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article