On k-potent matrices
O. M. Baksalary1 , G. Trenkler2
1 Faculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, PL 61-614 PoznaĹ„, Poland
2 Department of Statistics, Dortmund University of Technology, Vogelpothsweg 87, D-44221 Dortmund, Germany
The Electronic Journal of Linear Algebra, 26,446-470 (2013)
The paper provides extensive and systematic investigations of k-potent complex matrices, with a particular attention paid to tripotent matrices. Several new properties of k-potent matrices are identified. Furthermore, some results known in the literature are reestablished with simpler proofs than in the original sources and often in a generalized form.