The numerical radius and bounds for zeros of a polynomial

DOI10.1090/S0002-9939-02-06623-6zbMath1010.15005MaRDI QIDQ4780409

Lina Yeh, Mao-Ting Chien, Yurii A. Al'pin

Publication date: 19 November 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesnumerical rangecompanion matrixnumerical radiusPerron rootinclusion region for eigenvalues

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) Real polynomials: location of zeros (26C10)

Related Items

On an application of Herzberger’s matrix method to multipoint families of root-solvers, Numerical radius inequalities and its applications in estimation of zeros of polynomials, Bounds for zeros of a polynomial using numerical radius of Hilbert space operators, Comment on a result by Alpin, Chien, and Yeh, Upper and lower bounds for the Perron root of a nonnegative matrix, Generalizations of Gershgorin disks and polynomial zeros, On numerical radius of a matrix and estimation of bounds for zeros of a polynomial, Bounds and a majorization for the real parts of the zeros of polynomials, Numerical radius inequalities of operator matrices with applications, Bounds for the zeros of polynomials from compression matrix inequalities

Cites Work

• Bounds for the Perron root of a nonnegative matrix involving the properties of its graph
• Buzano's Inequality and Bounds for Roots of Algebraic Equations
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