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Hankel matrices and application

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F12%3A50000463" target="_blank" >RIV/62690094:18450/12:50000463 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hankel matrices and application

  • Original language description

    Hankel matrices are characterized as square matrices with constant entries along every skew-diagonal. Therefore, a Hankel matrix is determined by its entries in the fi rst row and the last column. Special subtype is represented by circulant-Hankel matrices, with entries in every row shifted by one position to the left, in comparison with the previous row. A circulant-Hankel matrix is determined by entries in the first row. Properties of Hankel matrices and circulant-Hankel matrices in max-min algebra are studied in the paper. The question of fi nding the steady states of complex systems (eigenvectors of the transition matrix) is considered. Speci fic cases with the maximal matrix input value on di ferent positions are completely described. Applicationsto real problems, e.g. the influence of viral advertising are presented.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Mathematical methods in economics : proceedings of 30th international conference

  • ISBN

    978-80-7248-779-0

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    909-914

  • Publisher name

    Slezská univerzita. Obchodně podnikatelská fakulta

  • Place of publication

    Karviná

  • Event location

    Jánská Dolina

  • Event date

    Sep 11, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article