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arXiv · 1203.6426

Multivariate Gauss-Lucas Theorems

Marek Kanter
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Abstract

A multivariate Gauss-Lucas theorem is proved, sharpening and generalizing previous results on this topic. The theorem is stated in terms of a seemingly new notion of convexity. Applications to multivariate stable polynomials are given.

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Marek Kanter. 2012-03-29. Multivariate Gauss-Lucas Theorems. https://arxiv.org/abs/1203.6426

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