most citedA Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure

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math.OC2023

Quantifying low rank approximations of third order symmetric tensors

Shenglong Hu, Defeng Sun, Kim-Chuan Toh

In this paper, we present a method to certify the approximation quality of a low rank tensor to a given third order symmetric tensor. Under mild assumptions, best low rank approxim…

math.OC2014★ 2 cited

A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure

Shenglong Hu, Guoyin Li, Liqun Qi

Yuan's theorem of the alternative is an important theoretical tool in optimization, which provides a checkable certificate for the infeasibility of a strict inequality system invol…