Characterization and properties of matrices with \(k\)-involutory symmetries

DOI10.1016/j.laa.2008.07.002zbMath1167.15020OpenAlexW4231353014MaRDI QIDQ947692

William F. Trench

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.07.002

zbMATH Keywords

eigenvalueMoore-Penrose inversesingular value decompositions\(k\)-involution\((R, \mu )\)-symmetric matrix\((R, S, \mu )\)-symmetric matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Algorithms for solving the inverse problem associated with \(KAK=A^{s+1}\) ⋮ Similar powers of a matrix ⋮ The solutions to linear matrix equations \(AX=B\), \(YA=D\) with \(k\)-involutory symmetries ⋮ Matrices \(A\) such that \(RA = A^{s+1}R\) when \(R^k = I\) ⋮ Convergence of the Nelder-Mead method ⋮ Procrustes problems and associated approximation problems for matrices with \(k\)-involutory symmetries ⋮ Fractionalization of a discrete Hankel transform based on an involutory symmetric kernel matrix ⋮ On a matrix group constructed from an \(\{ R,s+1,k \}\)-potent matrix ⋮ Characterization and properties of \((R,S_\sigma)\)-commutative matrices ⋮ Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\) ⋮ Characterization and properties of matrices with \(k\)-involutory symmetries. II ⋮ Characterization and properties of \((P_\sigma, Q)\) symmetric and co-symmetric matrices ⋮ On nonautonomous linear systems of differential and difference equations with \(R\)-symmetric coefficient matrices ⋮ An inverse eigenproblem for generalized reflexive matrices with normal $k+1$-potencies ⋮ Generalized centro-invertible matrices with applications

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