25 citations · 33 across the 4 of their papers we have counts for
4 papers
Further Results on Cauchy Tensors and Hankel Tensors
Haibin Chen, Guoyin Li, Liqun Qi
In this article, we present various new results on Cauchy tensors and Hankel tensors. { We first introduce the concept of generalized Cauchy tensors which extends Cauchy tensors in…
Positive Semi-Definiteness of Generalized Anti-Circulant Tensors
Guoyin Li, Liqun Qi, Qun Wang
Anti-circulant tensors have applications in exponential data fitting. They are special Hankel tensors. In this paper, we extend the definition of anti-circulant tensors to generali…
SOS-Hankel Tensors: Theory and Application
Guoyin Li, Liqun Qi, Yi Xu
Hankel tensors arise from signal processing and some other applications. SOS (sum-of-squares) tensors are positive semi-definite symmetric tensors, but not vice versa. The problem…
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…