6533b85afe1ef96bd12b8bc3
RESEARCH PRODUCT
Matrices A such that A^{s+1}R = RA* with R^k = I
Leila LebtahiMinerva CatralJeffrey L. StuartNéstor Thomesubject
Numerical AnalysisClass (set theory)Algebra and Number TheorySpectral properties0211 other engineering and technologies021107 urban & regional planning010103 numerical & computational mathematics02 engineering and technologyMatrius (Matemàtica)01 natural sciencesCombinatoricsMatrix (mathematics)Discrete Mathematics and CombinatoricsGeometry and Topology0101 mathematicsÀlgebra linealMATEMATICA APLICADA{R s+1 k *}-potent matrixK-involutoryMathematicsdescription
[EN] We study matrices A is an element of C-n x n such that A(s+1)R = RA* where R-k = I-n, and s, k are nonnegative integers with k >= 2; such matrices are called {R, s+1, k, *}-potent matrices. The s = 0 case corresponds to matrices such that A = RA* R-1 with R-k = I-n, and is studied using spectral properties of the matrix R. For s >= 1, various characterizations of the class of {R, s + 1, k, *}-potent matrices and relationships between these matrices and other classes of matrices are presented. (C) 2018 Elsevier Inc. All rights reserved.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-09-01 |