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

DOI10.1016/j.laa.2012.10.034zbMath1281.15011OpenAlexW1553356996MaRDI QIDQ389568

James R. Weaver, Leila Lebtahi, Nestor Janier Thome, Jeffrey L. Stuart

Publication date: 21 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.10.034

zbMATH Keywords

spectrumJordan formidempotent matrixinvolutory matrixpotent matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items

On a matrix group constructed from an \(\{ R,s+1,k \}\)-potent matrix ⋮ 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 ⋮ Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\)

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