Počet záznamů: 1  

A fast numerical test of multivariate polynomial positiveness with applications

  1. 1.
    0489266 - UTIA-B 2019 RIV CZ eng J - Článek v odborném periodiku
    Augusta, Petr - Augustová, Petra
    A fast numerical test of multivariate polynomial positiveness with applications.
    Kybernetika. Roč. 54, č. 2 (2018), s. 289-303. ISSN 0023-5954
    Institucionální podpora: RVO:67985556
    Klíčová slova: stability * multidimensional systems * positive polynomials * fast Fourier transforms * numerical algorithm
    Kód oboru RIV: BC - Teorie a systémy řízení
    Obor OECD: Automation and control systems
    Impakt faktor: 0.560, rok: 2018
    http://library.utia.cas.cz/separaty/2018/TR/augusta-0489266.pdf

    The paper presents a simple method to check a positiveness of symmetric multivariate polynomials on the unit multi-circle. The method is based on the sampling polynomials using the fast Fourier transform. The algorithm is described and its possible applications are proposed. One of the aims of the paper is to show that presented algorithm is significantly faster than commonly used method based on the semi-definite programming expression.
    Trvalý link: http://hdl.handle.net/11104/0283707