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math.SP2015★ 3 cited
Finding the maximum eigenvalue of a class of tensors with applications in copositivity test and hypergraphs
Haibin Chen, Yannan Chen, Guoyin Li +1
Finding the maximum eigenvalue of a symmetric tensor is an important topic in tensor computation and numerical multilinear algebra. This paper is devoted to a semi-definite program…
math.SP2015
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…
math.SP2015★ 4 cited
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…