Some Results on the Stability of Matrix Polynomials
A matrix polynomial is said to be stable or antistable, according as all its eigenvalues lie in $$|z|<1$$ or $$|z|\geq 1,$$ respectively. In this paper, among other things, we prove some necessary conditions for a matrix polynomial to be stable or antistable. Furthermore, we obtain a sufficient condition for a matrix polynomial to be stable.
Authors
- W. M. Shah (ORCID: https://orcid.org/0000-0002-0258-042X)
- Z. B. Monga (ORCID: https://orcid.org/0000-0001-9312-9556)
Institutions
- Central University of Kashmir (IN)
Publication Details
- Journal
- Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
- Published
- 2025-04-01
- DOI
- https://doi.org/10.3103/s1068362323601076
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00