Bounds and Majorization Relations for the Zeros of a Class of Fibonacci-Type Polynomials

DOI10.1080/01630563.2015.1114494zbMath1367.11025OpenAlexW2268735096MaRDI QIDQ2805987

Fuad Kittaneh

Publication date: 13 May 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1114494

zbMATH Keywords

eigenvaluespectral radiusinequalitymajorizationnumerical radiuszeros of Fibonacci-type polynomial

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (2)

SOME ANALYTICAL AND NUMERICAL RESULTS FOR THE ZEROS OF A CLASS OF FIBONACCI-LIKE POLYNOMIALS ⋮ The limit of the zero set of polynomials of the Fibonacci type

Cites Work

• Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials
• Bounds for the zeros of polynomials from matrix inequalities
• Norm inequalities of positive operator matrices
• Convergence of the maximum zeros of a class of Fibonacci-type polynomials
• A numerical radius inequality involving the generalized Aluthge transform
• Bounds and a majorization for the real parts of the zeros of polynomials
• Bounds and Majorization Relations for the Zeros of Polynomials

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