A fast numerical test of multivariate polynomial positiveness with applications

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SYSNO ASEP	0489266
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	A fast numerical test of multivariate polynomial positiveness with applications
Author(s)	Augusta, Petr (UTIA-B)_RID Augustová, Petra (UTIA-B)_{RID, ORCID}
Number of authors	2
Source Title	Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954 Roč. 54, č. 2 (2018), s. 289-303
Number of pages	15 s.
Publication form	Print - P
Language	eng - English
Country	CZ - Czech Republic
Keywords	stability ; multidimensional systems ; positive polynomials ; fast Fourier transforms ; numerical algorithm
Subject RIV	BC - Control Systems Theory
OECD category	Automation and control systems
Institutional support	UTIA-B - RVO:67985556
UT WOS	000435168400005
EID SCOPUS	85047400394
DOI	10.14736/kyb-2018-2-0289
Annotation	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.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2019

Number of the records: 1