25 citations · 41 across the 7 of their papers we have counts for
7 papers
Quasi-Irreducibility of Nonnegative Biquadratic Tensors
Liqun Qi, Chunfeng Cui, Yi Xu
While the adjacency tensor of a bipartite 2-graph is a nonnegative biquadratic tensor, it is inherently reducible. To address this limitation, we introduce the concept of quasi-irr…
A Note On the Rank of the Optimal Matrix in Symmetric Toeplitz Matrix Completion Problem
Xihong Yan, Jiahao Guo, Yi Xu
We consider the symmetric Toeplitz matrix completion problem, whose matrix under consideration possesses specific row and column structures. This problem, which has wide applicatio…
A New Class of Positive Semi-definite Tensors
Yi Xu, Jinjie Liu, Liqun Qi
In this paper, a new class of positive semi-definite tensors, the MO tensor, is introduced. It is inspired by the structure of Moler matrix, a class of test matrices. Then we focus…
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…
New Classes of Positive Semi-Definite Hankel Tensors
Qun Wang, Guoyin Li, Liqun Qi +1
A Hankel tensor is called a strong Hankel tensor if the Hankel matrix generated by its generating vector is positive semi-definite. It is known that an even order strong Hankel ten…
Nonnegative Tensor Factorization, Completely Positive Tensors and an Hierarchical Elimination Algorithm
Liqun Qi, Changqing Xu, Yi Xu
Nonnegative tensor factorization has applications in statistics, computer vision, exploratory multiway data analysis and blind source separation. A symmetric nonnegative tensor, wh…
The Dominant Eigenvalue of an Essentially Nonnegative Tensor
Liping Zhang, Liqun Qi, Ziyan Luo
It is well known that the dominant eigenvalue of a real essentially nonnegative matrix is a convex function of its diagonal entries. This convexity is of practical importance in po…