Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices
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Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices

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Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices

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Catral, Minerva; Lebtahi, Leila; Stuart, Jeffrey; Thome, Néstor
This document is a artículoDate2020
The {R, s+1, k}- and {R, s+1, k, ∗}-potent matrices have been studied in several recent papers. We continue these investigations from a spectral point of view. Specifically, a spectral study of {R,s + 1, k}-potent matrices is developed using characterizations involving an associated matrix pencil (A, R). The corresponding spectral study for {R, s+1, k, ∗}-potent matrices involves the pencil (A∗, R). In order to present some properties, the relevance of the projector I −AA# where A# is the group inverse of A is highlighted. In addition, some applications and numerical examples are given, particularly involving Pauli matrices and the quaternions.

    Catral, Minerva Lebtahi, Leila Stuart, Jeffrey Thome, Néstor 2020 Spectral study of {R, s + 1, k}- and {R, s + 1, k, ∗}-potent matrices Journal of Computational and Applied Mathematics 373 112414 1 13
https://doi.org/10.1016/j.cam.2019.112414

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