NAGIOS: RODERIC FUNCIONANDO

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

Repositori DSpace/Manakin

Valencià Castellano

IMPORTANT: Aquest repositori està en una versió antiga des del 3/12/2023. La nova instal.lació está en https://roderic.uv.es/

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

Mostra el registre complet de l'element

Visualització (342.6Kb)

Catral, Minerva; Lebtahi, Leila; Stuart, Jeffrey; Thome, Néstor

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

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.

Veure al catàleg Trobes