Polynomial Fibonacci-Hessenberg matrices

DOI10.1016/j.chaos.2008.10.012zbMath1198.15004OpenAlexW1985274799MaRDI QIDQ602640

Mostafa Esmaeili, Morteza Esmaeili

Publication date: 5 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.10.012

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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A Fibonacci-polynomial based coding method with error detection and correction ⋮ A new class of Fibonacci sequence based error correcting codes

Cites Work

• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• Modular groups in Cantorian \(E^{(\infty)}\) high-energy physics.
• The maximum determinant of an \(n\times{}n\) lower Hessenberg (0,1) matrix
• The Golden Shofar
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Fibonacci Determinants
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