Relations between \(\{ K; s+1\} \)-potent matrices and different classes of complex matrices

DOI10.1016/j.laa.2011.10.042zbMath1264.15019OpenAlexW2051642176MaRDI QIDQ1940307

Óscar Romero, Leila Lebtahi, Nestor Janier Thome

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.10.042

zbMATH Keywords

Hermitian matricesnormal matrixidempotent matrixinvolutory matrixcentrosymmetric matrix\(\{ K\(\{ s+1 \}\)-potent matrixs+1\}\)-potent matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57) Orthogonal matrices (15B10)

Related Items

Algorithms for solving the inverse problem associated with \(KAK=A^{s+1}\) ⋮ On a matrix group constructed from an \(\{ R,s+1,k \}\)-potent matrix ⋮ Algorithms for \(\{K, s + 1\}\)-potent matrix constructions ⋮ Classification of linear operators satisfying \((Au,v)=(u,a^rv)\) or \((Au,a^rv)=(u,v)\) on a vector space with indefinite scalar product ⋮ Further results on generalized centro-invertible matrices ⋮ The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation \(A X B = C\) ⋮ Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\) ⋮ An inverse eigenproblem for generalized reflexive matrices with normal $k+1$-potencies ⋮ Special elements in a ring related to Drazin inverses

Cites Work

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