Back to Search
Start Over
Stability of matrix polynomials in one and several variables.
- Source :
-
Linear Algebra & its Applications . Aug2023, Vol. 670, p42-67. 26p. - Publication Year :
- 2023
-
Abstract
- The paper presents methods for the eigenvalue localisation of regular matrix polynomials, in particular, the 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 Szász inequality are shown. Further, tools for investigating (hyper)stability by multivariate complex analysis methods are provided. Several seconds- and third-order matrix polynomials with particular semi-definiteness assumptions on coefficients are shown to be stable. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 670
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 163518715
- Full Text :
- https://doi.org/10.1016/j.laa.2023.04.003