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The g-circulant solutions of \(A^ m=\lambda J\)

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Publication:1086320
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DOI10.1016/0024-3795(87)90218-7zbMath0608.15008OpenAlexW2024297100MaRDI QIDQ1086320

B. George

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90218-7


zbMATH Keywords

circulant matrixmatrix equation(0,1) matrices


Mathematics Subject Classification ID

Matrix equations and identities (15A24) Matrices of integers (15B36)


Related Items (4)

\(g\)-circulant solutions to the (0,1) matrix equation \(A^m=J_n\) ⋮ Unnamed Item ⋮ Generalized de Bruijn graphs ⋮ Binary factorizations of the matrix of all ones



Cites Work

  • On the g-circulant solutions to the matrix equation \(A^ m=\lambda J\). II
  • On the matrix equation \(A^m=\lambda J\)
  • A generalization of cyclic difference sets. I
  • A generalization of cyclic difference sets. II
  • On rational circulants satisfying \(A^2=dI+\lambda J\)
  • On some solutions of \(A^k=dI+\lambda J\)
  • Cyclotomy and addition sets
  • \(X^k\)-digraphs
  • On the g-circulant solutions to the matrix equation \(A^m=\lambda J\)
  • Roots and Canonical Forms for Circulant Matrices


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