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math.SP2015
The positive semi-definite cone and sum-of-squares cone of Hankel form
Zhongming Chen, Liqun Qi
In this paper, the geometry properties of Hankel form are studied, including their positive semi-definite (PSD) cone and sum-of-squares (SOS) cone. We denote them by an…
math.SP2015★ 16 cited
Generalized Eigenvalue Complementarity Problem for Tensors
Zhongming Chen, Qingzhi Yang, Lu Ye
In this paper, the generalized eigenvalue complementarity problem for tensors (GEiCP-T) is addressed, which arises from the stability analysis of finite dimensional mechanical syst…
math.SP2013★ 16 cited
Circulant Tensors with Applications to Spectral Hypergraph Theory and Stochastic Process
Zhongming Chen, Liqun Qi
Circulant tensors naturally arise from stochastic process and spectral hypergraph theory. The joint moments of stochastic processes are symmetric circulant tensors. The adjacency,…