Numerical radius inequalities of operator matrices with applications

Abstract

We present upper and lower bounds for the numerical radius of $2\times 2$ operator matrices which improves on the existing bound for the same. As an application of the results obtained we give a better estimation for the zeros of a polynomial.

References in corpus (1)

• Numerical radius inequalities and its applications in estimation of zeros of polynomials

Cited by in corpus (6)

• $A$-Numerical radius orthogonality and parallelism of semi-Hilbertian space operators and their applications
• Proper improvement of well-known numerical radius inequalities and their applications
• Furtherance of Numerical radius inequalities of Hilbert space operators
• Refinements of A-numerical radius inequalities and their applications
• Numerical radius inequalities of $2\times 2$ operator matrices
• Annular bounds for the zeros of a polynomial from companion matrix