8 citations · 22 across the 7 of their papers we have counts for
4 papers · 1 filter
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…