Matrices \(A\) such that \(RA = A^{s+1}R\) when \(R^k = I\)
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Publication:389568
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
Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)
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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 \(R^k = I\)
Cites Work
- Unnamed Item
- Characterizations of \(\{K,s+1\}\)-potent matrices and applications
- Characterization and properties of matrices with \(k\)-involutory symmetries
- Characterization and properties of matrices with \(k\)-involutory symmetries. II
- Real eigenvalues of nonnegative matrices which commute with a symmetric matrix involution
- Matrices that commute with a permutation matrix
- The spectral characterization of generalized projections
- Generalized inverses. Theory and applications.
- Pseudo-centrosymmetric matrices, with applications to counting perfect matchings
- A Spectral Characterization of Generalized Real Symmetric Centrosymmetric and Generalized Real Symmetric Skew-Centrosymmetric Matrices
- Centrosymmetric (Cross-Symmetric) Matrices, Their Basic Properties, Eigenvalues, and Eigenvectors
- Group inverse and group involutory Matrices∗
