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The linear algebra of the \(k\)-Fibonacci matrix.

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Publication:1414130
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DOI10.1016/S0024-3795(02)00596-7zbMath1059.11018MaRDI QIDQ1414130

D. Massart

Publication date: 19 November 2003

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


zbMATH Keywords

Majorization\(k\)-Fibonacci matrix\(k\)-symmetric Fibonacci matrix


Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)


Related Items

Factorizations and eigenvalues of the \((r, k)\)-bonacci matrices ⋮ An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory ⋮ The \(k\)-Fibonacci matrix and the Pascal matrix ⋮ Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices ⋮ Identities via Bell matrix and Fibonacci matrix ⋮ Linear algebra of the Lucas matrix ⋮ Unnamed Item



Cites Work

  • Unnamed Item
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  • The Riordan group
  • The linear algebra of the Pascal matrix
  • \(k\)-Lucas numbers and associated bipartite graphs
  • Matrix Analysis
  • Inequalities: theory of majorization and its applications
  • The linear algebra of the generalized Pascal matrix
  • On the \(k\)-generalized Fibonacci matrix \(Q_k\)
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