25 citations · 41 across the 7 of their papers we have counts for
4 papers · 1 filter
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 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…