15 citations · 114 across the 31 of their papers we have counts for
9 papers · 1 filter
Higher-degree eigenvalue complementarity problems for tensors
Chen Ling, Hongjin He, Liqun Qi
In this paper, we introduce a unified framework of Tensor Higher-Degree Eigenvalue Complementarity Problem (THDEiCP), which goes beyond the framework of the typical Quadratic Eigen…
The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs
Xiying Yuan, Liqun Qi, Jiayu Shao
Let and be the adjacency tensor, Laplacian tensor and signless Laplacian tensor of uniform hypergra…
The positive semi-definite cone and sum-of-squares cone of Hankel form
Zhongming Chen, Liqun Qi
In this paper, the geometry properties of Hankel form are studied, including their positive semi-definite (PSD) cone and sum-of-squares (SOS) cone. We denote them by an…
The Sparsest Solutions to -Tensor Complementarity Problems
Ziyan Luo, Liqun Qi, Naihua Xiu
Finding the sparsest solutions to a tensor complementarity problem is generally NP-hard due to the nonconvexity and noncontinuity of the involved norm. In this paper, a sp…
Three Dimensional Strongly Symmetric Circulant Tensors
Liqun Qi, Qun Wang, Yannan Chen
In this paper, we give a necessary and sufficient condition for an even order three dimensional strongly symmetric circulant tensor to be positive semi-definite. In some cases, we…
Doubly Nonnegative Tensors, Completely Positive Tensors and Applications
Ziyan Luo, Liqun Qi
The concept of double nonnegativity of matrices is generalized to doubly nonnegative tensors by means of the nonnegativity of all entries and -eigenvalues. This generalization i…