Stability Of Matrix Polynomials In One And Several Variables

Autor:	Oskar Jakub Szymański, Michał Wojtylak
Rok vydání:	2022
Předmět:	Numerical Analysis Algebra and Number Theory 15A18 15A22 15B57 30C15 32A60 Mathematics - Complex Variables FOS: Mathematics Discrete Mathematics and Combinatorics Mathematics - Numerical Analysis Geometry and Topology Numerical Analysis (math.NA) Complex Variables (math.CV)
DOI:	10.48550/arxiv.2203.10509
Popis:	The paper presents methods of eigenvalue localisation of regular matrix polynomials, in particular, stability of matrix polynomials is investigated. For this aim a stronger notion of hyperstability is introduced and widely discussed. Matrix versions of the Gauss-Lucas theorem and Sz\'asz inequality are shown. Further, tools for investigating (hyper)stability by multivariate complex analysis methods are provided. Several second- and third-order matrix polynomials with particular semi-definiteness assumptions on coefficients are shown to be stable. Comment: 20 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6cd58dcc38d65fe908c56cffd56eb44f Zobrazit plný text záznamu