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
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Aquest document és un/a article, creat/da en: 2020
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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. |
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