11 citations · 32 across the 8 of their papers we have counts for
8 papers
Copositive Tensor Detection and Its Applications in Physics and Hypergraphs
Haibin Chen, Zhanghai Huang, Liqun Qi
Copositivity of tensors plays an important role in vacuum stability of a general scalar potential, polynomial optimization, tensor complementarity problem and tensor generalized ei…
Copositivity Detection of Tensors: Theory and Algorithm
Haibin Chen, Zhenghai Huang, Liqun Qi
A symmetric tensor is called copositive if it generates a multivariate form taking nonnegative values over the nonnegative orthant. Copositive tensors have found important applicat…
Finding the maximum eigenvalue of a class of tensors with applications in copositivity test and hypergraphs
Haibin Chen, Yannan Chen, Guoyin Li +1
Finding the maximum eigenvalue of a symmetric tensor is an important topic in tensor computation and numerical multilinear algebra. This paper is devoted to a semi-definite program…
SOS Tensor Decomposition: Theory and Applications
Haibin Chen, Guoyin Li, Liqun Qi
In this paper, we examine structured tensors which have sum-of-squares (SOS) tensor decomposition, and study the SOS-rank of SOS tensor decomposition. We first show that several cl…
Some Spectral Properties of Odd-Bipartite -Tensors and Their Absolute Tensors
Haibin Chen, Liqun Qi
Stimulated by odd-bipartite and even-bipartite hypergraphs, we define odd-bipartite (weakly odd-bipartie) and even-bipartite (weakly even-bipartite) tensors. It is verified that al…
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…
Centrosymmetric, Skew Centrosymmetric and Centrosymmetric Cauchy Tensors
Haibin Chen, Zhen Chen, Liqun Qi
Recently, Zhao and Yang introduced centrosymmetric tensors. In this paper, we further introduce skew centrosymmetric tensors and centrosymmetric Cauchy tensors, and discuss propert…
Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors
Haibin Chen, Liqun Qi
Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors. An even order s…