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arXiv · 2606.19355

Noncommutative Cauchy Bound and Noncommutative Montel Bound for Roots of Polynomials

K. Mahesh Krishna
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Abstract

In 1829, Cauchy derived an upper bound for every root of a complex polynomial using the maximum of the absolute values of the coefficients. In 1931, Montel derived an upper bound using the sum of the absolute values of the coefficients. We derive noncommutative versions of the Cauchy and Montel bounds.

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BibTeXRIS

K. Mahesh Krishna. 2026-05-05. Noncommutative Cauchy Bound and Noncommutative Montel Bound for Roots of Polynomials. https://arxiv.org/abs/2606.19355

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