Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\)

DOI10.1016/j.laa.2018.04.010zbMath1391.15044OpenAlexW2796543390MaRDI QIDQ1754428

Minerva Catral, Leila Lebtahi, Nestor Janier Thome, Jeffrey L. Stuart

Publication date: 30 May 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.04.010

zbMATH Keywords

\(\{R, s + 1, k, \ast \}\)-potent matrix\(k\)-involutory

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Canonical forms, reductions, classification (15A21)

Related Items

Classification of linear operators satisfying \((Au,v)=(u,a^rv)\) or \((Au,a^rv)=(u,v)\) on a vector space with indefinite scalar product, Spectral study of \(\{ R, s + 1, k \}\)- and \(\{R, s + 1, k, \ast \}\)-potent matrices

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