Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (5)
- Authors
- Danchev, Peter
- Contact information
- Danchev, Peter: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences Sofia, Bulgaria; OCRID: 0000-0002-2016-2336
- Keywords
- nilpotent matrix; potent matrix; Jordan normal form; rational form; field
- Abstract
We study when every square matrix over an algebraically closed field or over a finite field is decomposable into a sum of a potent matrix and a nilpotent matrix of order 2. This can be related to our recent paper, published in Linear & Multilinear Algebra (2022). We also completely address the question when each square matrix over an infinite field can be decomposed into a periodic matrix and a nilpotent matrix of order 2
- Pages
- 547–553
- DOI
- 10.17516/1997-1397-2021-14-5-547-553
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/143729
Journal of Siberian Federal University. Mathematics & Physics / On Some Decompositions of Matrices over Algebraically Closed and Finite Fields
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