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On solutions of second-order matrix polynomial equation of high degree
- Source :
- Journal of Algebra and Its Applications. 21
- Publication Year :
- 2021
- Publisher :
- World Scientific Pub Co Pte Ltd, 2021.
-
Abstract
- In this paper, we focus on discussing diagonal solutions and general solutions of second-order matrix polynomial equation of high degree in complex field. By characterizing some algebraic properties of the mentioned two types of the solutions, we present sufficient conditions that a general second-order matrix polynomial equation has diagonal solutions or general solutions. Analytic expressions of the solutions, as well as the corresponding algorithms for finding the solutions are provided. An example is given so as to verify the theoretical results we have derived.
Details
- ISSN :
- 17936829 and 02194988
- Volume :
- 21
- Database :
- OpenAIRE
- Journal :
- Journal of Algebra and Its Applications
- Accession number :
- edsair.doi...........4712e6672e748a8db429cb5f686ff126