Bounds for zeros of a polynomial using numerical radius of Hilbertian space operators

Abstract

We obtain bounds for the numerical radius of $2\times 2$ operator matrices which improve on the existing bounds. We also show that the inequalities obtained here generalize the existing ones. As an application of the results obtained here we estimate the bounds for the zeros of a monic polynomial and illustrate with numerical examples that the bounds are better than the existing ones.

References in corpus (2)

• Numerical radius inequalities and its applications in estimation of zeros of polynomials
• On inequalities for A-numerical radius of operators

Cited by in corpus (8)

• Development of inequality and characterization of equality conditions for the numerical radius
• Furtherance of Numerical radius inequalities of Hilbert space operators
• On a new norm on $\mathcal{B}(\mathcal{H})$ and its applications to numerical radius inequalities
• Numerical radius inequalities of $2\times 2$ operator matrices
• Improved inequalities for the numerical radius via Cartesian decomposition
• Numerical radius inequalities and estimation of zeros of polynomials
• Annular bounds for the zeros of a polynomial from companion matrix
• Improvement of numerical radius inequalities