8 citations · 22 across the 7 of their papers we have counts for
7 papers
Computing Eigenvalues of Large Scale Hankel Tensors
Yannan Chen, Liqun Qi, Qun Wang
Large scale tensors, including large scale Hankel tensors, have many applications in science and engineering. In this paper, we propose an inexact curvilinear search optimization m…
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…
Positive Semi-Definiteness and Sum-of-Squares Property of Fourth Order Four Dimensional Hankel Tensors
Yannan Chen, Liqun Qi, Qun Wang
A positive semi-definite (PSD) tensor which is not a sum-of-squares (SOS) tensor is called a PSD non-SOS (PNS) tensor. Is there a fourth order four dimensional PNS Hankel tensor? U…
An Explicit SOS Decomposition of A Fourth Order Four Dimensional Hankel Tensor with A Symmetric Generating Vector
Yannan Chen, Liqun Qi, Qun Wang
In this note, we construct explicit SOS decomposition of A Fourth Order Four Dimensional Hankel Tensor with A Symmetric Generating Vector, at the critical value. This is a suppleme…
Positive Semi-Definiteness of Generalized Anti-Circulant Tensors
Guoyin Li, Liqun Qi, Qun Wang
Anti-circulant tensors have applications in exponential data fitting. They are special Hankel tensors. In this paper, we extend the definition of anti-circulant tensors to generali…
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…
Regular Uniform Hypergraphs, -Cycles, -Paths and Their largest Laplacian H-Eigenvalues
Liqun Qi, Jiayu Shao, Qun Wang
In this paper, we show that the largest signless Laplacian H-eigenvalue of a connected -uniform hypergraph , where , reaches its upper bound , where is…