On k-potent matrices

On k-potent matrices
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关于 k 有效矩阵

DOI:
10.13001/1081-3810.1664
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发表时间:
2013
影响因子:
0.7
通讯作者:
G. Trenkler
G. Trenkler
中科院分区:
数学4区
文献类型:
--
作者:
O. Baksalary;G. Trenkler

文献摘要

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本文对k-幂次复矩阵进行了广泛而系统的研究,特别是对三幂次矩阵进行了研究。证明了k-幂矩阵的几个新性质。此外,在文献中已知的一些结果是重建与简单的证明比在原来的来源,往往在一个广义的形式。
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.