Matrices that commute with a permutation matrix

DOI10.1016/0024-3795(91)90173-TzbMath0735.15016MaRDI QIDQ1174692

James R. Weaver, Jeffrey L. Stuart

Publication date: 25 June 1992

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

zbMATH Keywords

permutation matrixcommutativitygreatest common divisorscentrosymmetric matricescirculent matricespairs of cycle lengths

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57)

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Diagonally scaled permutations and circulant matrices ⋮ Algorithms for solving the inverse problem associated with \(KAK=A^{s+1}\) ⋮ Centralizer matrix algebras and symmetric polynomials of partitions ⋮ Matrices \(A\) such that \(RA = A^{s+1}R\) when \(R^k = I\) ⋮ On a matrix group constructed from an \(\{ R,s+1,k \}\)-potent matrix ⋮ Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies ⋮ Relations between \(\{ K; s+1\} \)-potent matrices and different classes of complex matrices ⋮ Fast algorithms for solving FLS \(R\)-factor block circulant linear systems and inverse problem of \(\mathcal{A} X = b\) ⋮ Generalized diagonalization of matrices over quaternion field ⋮ Further results on generalized centro-invertible matrices ⋮ Set-to-Sequence Methods in Machine Learning: A Review ⋮ Matrices \(A\) such that \(A^{s+1}R\) = \(RA^\ast\) with \(R^k = I\) ⋮ Generalized centro-invertible matrices with applications ⋮ Reducible pattern \(k\)-potent ray pattern matrices

Cites Work

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• Real eigenvalues of nonnegative matrices which commute with a symmetric matrix involution
• Eigenvalues and eigenvectors of symmetric centrosymmetric matrices
• Eigenvectors of certain matrices
• Eigenvalues and eigenvectors of a certain stochastic matrix
• Eigenvalues and eigenvectors of a certain stochastic matrix II¹
• Inflation Matrices and ZME-Matrices that Commute with a Permutation Matrix
• The Inverse of a Centrosymmetric Matrix

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