An application of Fibonacci numbers in matrices.

DOI10.1016/S0096-3003(02)00827-5zbMath1040.15008OpenAlexW2077471228MaRDI QIDQ1412652

Erdal Karaduman

Publication date: 25 November 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00827-5

zbMATH Keywords

determinantmatrixFibonacci sequencesgeneralized order-\(k\) Fibonacci numbers

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Related Items (12)

The reciprocal sums of even and odd terms in the Fibonacci sequence ⋮ On the order-\(k\) generalized Lucas numbers ⋮ k–step Fibonacci sequences and Fibonacci matrices ⋮ \(k\)-step sum and \(m\)-step gap Fibonacci sequence ⋮ Sums of products of two reciprocal Fibonacci numbers ⋮ On matrices related with Fibonacci and Lucas numbers ⋮ On the generalized order-\(k\) Fibonacci and Lucas numbers ⋮ On the \(k\)-generalized Fibonacci numbers and high-order linear recurrence relations ⋮ On the partial finite sums of the reciprocals of the Fibonacci numbers ⋮ The reciprocal sums of the Fibonacci 3-subsequences ⋮ On determinants of matrices with general Fibonacci numbers entries ⋮ On the representation of \(k\)-generalized Fibonacci and Lucas numbers

Cites Work

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• A fast algorithm for computing large Fibonacci numbers
• On the period of Fibonacci sequences in nilpotent groups.
• \(k\)-Lucas numbers and associated bipartite graphs
• Generating trees and forbidden subsequences

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