Algorithms for solving the inverse problem associated with KAK =A^(s+1)
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Algorithms for solving the inverse problem associated with KAK =A^(s+1)

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Algorithms for solving the inverse problem associated with KAK =A^(s+1)

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Lebtahi, Leila; Romero, Óscar; Thome, Néstor
Aquest document és un/a article, creat/da en: 2017
In previous papers, the authors introduced and characterized a class of matrices called {K,s+1}-potent. Also, they established a method to construct these matrices. The purpose of this paper is to solve the associated inverse problem. Several algorithms are developed in order to find all involutory matrices K satisfying K A^(s+1) K = A for a given matrix A∈C^(n×n) and a given natural number s. The cases s=0 and s≥ are separately studied since they produce different situations. In addition, some examples are presented showing the numerical performance of the methods.

    Lebtahi, Leila Romero, Óscar Thome, Néstor 2017 Algorithms for solving the inverse problem associated with KAK =A^(s+1) Journal of Computational and Applied Mathematics 309 333 341
http://dx.doi.org/10.1016/j.cam.2016.02.055
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