On numerical radius of a matrix and estimation of bounds for zeros of a polynomial

DOI10.1155/2012/129132zbMath1253.65056OpenAlexW2105568604WikidataQ58705535 ScholiaQ58705535MaRDI QIDQ715100

Santanu Bag, Kallol Paul

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/129132

zbMATH Keywords

spectral radiuszeros of a polynomialnumerical radius

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of roots of polynomial equations (65H04)

Related Items (16)

More on ω-orthogonalities and ω-parallelism ⋮ Some improvements of numerical radius inequalities of operators and operator matrices ⋮ Upper and lower bounds for the numerical radius with an application to involution operators ⋮ Numerical radius inequalities and its applications in estimation of zeros of polynomials ⋮ Approximate isosceles \(\omega\)-orthogonality and approximate \(\omega\)-parallelism ⋮ Bounds for the Davis-Wielandt radius of bounded linear operators ⋮ Bounds of numerical radius of bounded linear operators using t-Aluthge transform ⋮ Estimations of zeros of a polynomial using numerical radius inequalities ⋮ Bounds for zeros of a polynomial using numerical radius of Hilbert space operators ⋮ On inequalities for A-numerical radius of operators ⋮ Numerical radius inequalities for \(n \times n\) operator matrices ⋮ On a new norm on \(\mathcal{B}(\mathcal{H})\) and its applications to numerical radius inequalities ⋮ Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices ⋮ Approximate ω-orthogonality and ω-derivation ⋮ A new approach to numerical radius of quadratic operators ⋮ Numerical radius inequalities of operator matrices with applications

Cites Work

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• Sur quelques limites pour les modules des zéros des polynômes
• Matrix Analysis
• Buzano's Inequality and Bounds for Roots of Algebraic Equations
• Operator norms as bounds for roots of algebraic equations
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• On Graeffe's Method for the Numerical Solution of Algebraic Equations
• The numerical radius and bounds for zeros of a polynomial
• Applications of polar decompositions of idempotent and 2-nilpotent operators

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