Basic Positive Semi-Definite Hankel Tensors
Keywords:
Hankel tensors, basic positive semi-definite Hankel tensors, symmetric rank, Van dermonde decomposition.Abstract
Some classes of positive semi-definite Hankel tensors which are not strong Hankel tensors were recently introduced by Q.Wang, G.Li, L.Qi and Y.Xu [New classes of positive semi-definite Hankel tensors, Minimax Theory and its Applications 2 (2017) 231-248]. In this paper, we continue the study of such tensors. We introduce a subclass of Hankel tensors called basic positive semi-definite Hankel tensors and intend to find some low-rank basic PSD non-strong Hankel tensors.
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