On a matrix group constructed from an \(\{ R,s+1,k \}\)-potent matrix

DOI10.1016/j.laa.2014.08.005zbMath1314.15005OpenAlexW1982842971MaRDI QIDQ406486

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

Publication date: 8 September 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.2014.08.005

zbMATH Keywords

group inversematrix group\(\{ R,s+1,k \}\)-potent matrix

Mathematics Subject Classification ID

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

Related Items (4)

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 \(R^k = I\) ⋮ The algebra generated by simple elements of a matrix centralizer

Cites Work

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• On semigroups and semirings of nonnegative matrices
• Properties of a matrix group associated to a {K,s+1}-potent matrix
• Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
• Group inverse and group involutory Matrices^∗
• On k-potent matrices

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