Further results on generalized centro-invertible matrices
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Further results on generalized centro-invertible matrices

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Further results on generalized centro-invertible matrices

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Lebtahi, Leila; Romero, Óscar; Thome, Néstor
This document is a artículoDate2019

Este documento está disponible también en : http://hdl.handle.net/10550/66513
This paper deals with generalized centro-invertible matrices introduced by the authors in Lebtahi et al. (Appl. Math. Lett. 38, 106-109, 2014). As a first result, we state the coordinability between the classes of involutory matrices, generalized centro-invertible matrices, and {K}-centrosymmetric matrices. Then, some characterizations of generalized centro-invertible matrices are obtained. A spectral study of generalized centro-invertible matrices is given. In addition, we prove that the sign of a generalized centro-invertible matrix is {K}-centrosymmetric and that the class of generalized centro-invertible matrices is closed under the matrix sign function. Finally, some algorithms have been developed for the construction of generalized centro-invertible matrices.

    Lebtahi, Leila Romero, Óscar Thome, Néstor (2019). Further results on generalized centro-invertible matrices Numerical Algorithms 80 4 1309 1328
https://doi.org/10.1007/s11075-018-0528-9

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