15 citations · 114 across the 30 of their papers we have counts for
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T-Quadratic Forms and Spectral Analysis of T-Symmetric Tensors
Liqun Qi, Xinzhen Zhang
An tensor is called a T-square tensor. It arises from many applications, such as the image feature extraction problem and the multi-view clustering problem. W…
Stationary probability vectors of higher-order two-dimensional transition probability tensors
Zheng-Hai Huang, Liqun Qi
In this paper we investigate stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. We show that there are two special symmetric t…
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…