Root location for the characteristic polynomial of a Fibonacci type sequence

DOI10.21136/CMJ.2022.0043-22OpenAlexW4308198764MaRDI QIDQ5878424

Zhibin Du, Carlos Martins de Fonseca

Publication date: 21 February 2023

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2022.0043-22

zbMATH Keywords

characteristic polynomialrootFibonacci number

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Cites Work

• Polynomial sequences generated by infinite Hessenberg matrices
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• The ``golden algebraic equations
• A note on the determinant of a Toeplitz-Hessenberg matrix
• The generalized order-\(k\) Fibonacci-Pell sequence by matrix methods
• On the characteristic polynomial of \((k,p)\)-Fibonacci sequence
• An identity between the determinant and the permanent of Hessenberg-type matrices
• Some interpretations of the $(k,p)$-Fibonacci numbers
• Unnamed Item
• Unnamed Item

This page was built for publication: Root location for the characteristic polynomial of a Fibonacci type sequence