On the \(g\)-circulant solutions to the matrix equation \(A^m=\lambda J\)

DOI10.1016/0097-3165(82)90041-3zbMath0493.15011OpenAlexW4213188846MaRDI QIDQ1168389

Kai Wang

Publication date: 1982

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(82)90041-3

zbMATH Keywords

matrix equationHall polynomialg-circulant solutions

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrix equations and identities (15A24) Matrices of integers (15B36)

Related Items (4)

Efficient exhaustive listings of reversible one dimensional cellular automata ⋮ \(g\)-circulant solutions to the (0,1) matrix equation \(A^m=J_n\) ⋮ Solutions of the matrix equation (1):X m+A 1Xm−1+…+A m=0 ⋮ On rational circulants satisfying \(A^ m=dI+\lambda J\)

Cites Work

• On the matrix equation \(A^m=\lambda J\)
• On some solutions of \(A^k=dI+\lambda J\)
• A generalization of the matrix equation \(A^ 2=J\)
• Notes on central groupoids

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