On the matrix equation \(A^m=\lambda J\)

DOI10.1016/0097-3165(80)90002-3zbMath0445.15010OpenAlexW2081918385MaRDI QIDQ1145194

Kai Wang

Publication date: 1980

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(80)90002-3

zbMATH Keywords

matrix equationHall polynomialh-circulant

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrix equations and identities (15A24) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Matrices of integers (15B36)

Related Items (10)

The g-circulant solutions of \(A^ m=\lambda J\) ⋮ Efficient exhaustive listings of reversible one dimensional cellular automata ⋮ \(g\)-circulant solutions to the (0,1) matrix equation \(A^m=J_n\) ⋮ Orderly algorithm to enumerate central groupoids and their graphs ⋮ Rectangular groupoids and related structures ⋮ On the \(g\)-circulant solutions to the matrix equation \(A^m=\lambda J\) ⋮ On the g-circulant solutions to the matrix equation \(A^m=\lambda J\) ⋮ Combinatorial analysis (nonnegative matrices, algorithmic problems) ⋮ On rational circulants satisfying \(A^ m=dI+\lambda J\) ⋮ On the g-circulant solutions to the matrix equation \(A^ m=\lambda J\). II

Cites Work

• A generalization of cyclic difference sets. I
• A generalization of cyclic difference sets. II
• On some solutions of \(A^k=dI+\lambda J\)
• Cyclotomy and addition sets
• A generalization of the matrix equation \(A^ 2=J\)
• Notes on central groupoids

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