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A fast numerical test of multivariate polynomial positiveness with applications
- 1.0489266 - ÚTIA 2019 RIV CZ eng J - Journal Article
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
Institutional support: RVO:67985556
Keywords : stability * multidimensional systems * positive polynomials * fast Fourier transforms * numerical algorithm
OECD category: Automation and control systems
Impact factor: 0.560, year: 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.
Permanent Link: http://hdl.handle.net/11104/0283707
Number of the records: 1