Bounds and Majorization Relations for the Zeros of Polynomials

DOI10.1080/01630560802679083zbMath1163.15018OpenAlexW2044500320MaRDI QIDQ3615536

Fuad Kittaneh, Khalid Shebrawi

Publication date: 20 March 2009

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

Full work available at URL: https://doi.org/10.1080/01630560802679083

zbMATH Keywords

zeros of a polynomialcompanion matrixboundmajorizationnumerical radius

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Related Items

Bounds and majorization relations for the critical points of polynomials, Bounds and Majorization Relations for the Zeros of a Class of Fibonacci-Type Polynomials, Bounds for the zeros of polynomials from compression matrix inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Improving bounds for eigenvalues of complex matrices using traces
• Spectral inequalities and G-functions
• Bounds for the zeros of polynomials from eigenvalues and singular values of some companion matrices
• Norm inequalities of positive operator matrices
• Bounds and a majorization for the real parts of the zeros of polynomials
• Bounds for the zeros of polynomials from matrix inequalities – II
• Matrix Analysis
• Singular Values of Companion Matrices and Bounds on Zeros of Polynomials
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Inequalities: theory of majorization and its applications