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Relations between {K, s + 1}-potent matrices and different classes of complex matrices

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Relations between {K, s + 1}-potent matrices and different classes of complex matrices

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Lebtahi, Leila; Romero, Óscar; Thome, Néstor

Aquest document és un/a article, creat/da en: 2013

In this paper, {K,s+1}-potent matrices are considered. A matrix A∈C^(n×n) is called {K,s+1}-potent when K A^(s+1) K = A where K is an involutory matrix and s∈{1,2,3,¿}. Specifically, {K,s+1}-potent matrices are analyzed considering their relations to different classes of complex matrices. These classes of matrices are: {s+1}-generalized projectors, {K}-Hermitian matrices, normal matrices, and matrices B∈C^(n×n) (anti-)commuting with K or such that KB is involutory, Hermitian or normal. In addition, some new relations for K-generalized centrosymmetric matrices have been derived.

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