SOME ANALYTICAL AND NUMERICAL RESULTS FOR THE ZEROS OF A CLASS OF FIBONACCI-LIKE POLYNOMIALS

DOI10.17654/DM028010133zbMath1499.11046OpenAlexW3199588836MaRDI QIDQ5076167

Amal al-Saket

Publication date: 16 May 2022

Published in: Advances and Applications in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/dm028010133

zbMATH Keywords

eigenvalueszeros of polynomialstridiagonal matrixFibonacci-like polynomialstwinned polynomials

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Uses Software

• na20

Cites Work

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• Modifications of Newton's method for even-grade palindromic polynomials and other twined polynomials
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• Solving secular and polynomial equations: a multiprecision algorithm
• Some results for the zeros of a class of Fibonacci-type polynomials
• Bounds and Majorization Relations for the Zeros of a Class of Fibonacci-Type Polynomials
• A near-optimal algorithm for computing real roots of sparse polynomials
• A Note on Fibonacci-Type Polynomials
• Fast and Backward Stable Computation of Roots of Polynomials
• The limit of the zero set of polynomials of the Fibonacci type

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