Bounds for zeros of a polynomial using numerical radius

Pintu Bhunia, Santanu Bag, Kallol Paul · arXiv (Cornell University) · 2019

We obtain bounds for the numerical radius of $2 \times 2$ operator matrices which improves 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 zeros of a monic polynomial and illustrate with numerical examples to show that the bounds are better than the existing ones.

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