Multivariate Gauss-Lucas Theorems

Details Multivariate Gauss-Lucas Theorems Multivariate Gauss-Lucas Theorems

2012-03-29

arxiv.org/abs/1203.6426v1

Mathematics

Complex Variables

Scientific paper

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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