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arXiv · 2103.07652

Bounding the zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition

Mohammad W. Alomari
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Abstract

In this work, Some new inequalities for the numerical radius of block $n$-by-$n$ matrices are presented. As an application, bounding of zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition approach is proved and affirmed by a numerical example showing that our approach of bounding zeros of polynomials could be very effective in comparison with the most famous and some recent results presented in the field.

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Mohammad W. Alomari. 2021-03-13. Bounding the zeros of polynomials using the Frobenius companion matrix partitioned by the Cartesian decomposition. https://arxiv.org/abs/2103.07652

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