165 citations · 1.2k across the 132 of their papers we have counts for
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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…
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…
The extremal spectral radii of -uniform supertrees
Honghai Li, Jiayu Shao, Liqun Qi
In this paper, we study some extremal problems of three kinds of spectral radii of -uniform hypergraphs (the adjacency spectral radius, the signless Laplacian spectral radius an…
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…
An Even Order Symmetric B Tensor is Positive Definite
Liqun Qi, Yisheng Song
It is easily checkable if a given tensor is a B tensor, or a B tensor or not. In this paper, we show that a symmetric B tensor can always be decomposed to the sum of a strictly…