On the \(k\)-generalized Fibonacci matrix \(Q_k\)

DOI10.1016/0024-3795(95)00553-6zbMath0917.05046OpenAlexW2017945459WikidataQ112879934 ScholiaQ112879934MaRDI QIDQ5961691

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Publication date: 25 May 1999

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00553-6

zbMATH Keywords

eigenvalues\(k\)-generalized Fibonacci sequence

Mathematics Subject Classification ID

Combinatorial probability (60C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (15)

Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices ⋮ k–step Fibonacci sequences and Fibonacci matrices ⋮ $d-$Fibonacci and $d-$Lucas polynomials ⋮ A note on generalized Fibonacci sequences ⋮ The linear algebra of the \(k\)-Fibonacci matrix. ⋮ The \(k\)-Fibonacci matrix and the Pascal matrix ⋮ \(k\)-step sum and \(m\)-step gap Fibonacci sequence ⋮ A method to construct generalized Fibonacci sequences ⋮ New analogues of the Filbert and Lilbert matrices via products of two k-tuples asymmetric entries ⋮ (\(\pm 1\))-invariant sequences and truncated Fibonacci sequences ⋮ Unnamed Item ⋮ On the representation of \(k\)-generalized Fibonacci and Lucas numbers ⋮ \(k\)-Lucas numbers and associated bipartite graphs ⋮ Unnamed Item ⋮ On the number of perfect matchings for some certain types of bipartite graphs

Cites Work

• Convex polyhedra of doubly stochastic matrices. I: Applications of the permanent function
• Generalized Fibonacci Numbers and Associated Matrices
• Inequalities: theory of majorization and its applications
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