Ela on K-potent Matrices
نویسندگان
چکیده
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.
منابع مشابه
Ela Properties of a Matrix Group Associated to a {k,s + 1}-potent Matrix∗
In a previous paper, the authors introduced and characterized a new kind of matrices called {K,s+1}-potent. In this paper, an associated group to a {K, s+1}-potent matrix is explicitly constructed and its properties are studied. Moreover, it is shown that the group is a semidirect product of Z2 acting on Z(s+1)2−1. For some values of s, more specifications on the group are derived. In addition,...
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