【摘 要】
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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
【机 构】
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TheHongKongPolytechnicUniversity
【出 处】
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2016年张量和矩阵学术研讨会(International conference on Tensor, Matrix a
论文部分内容阅读
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 tensor is an sum-of-squares tensor, and thus a positive semi-definite tensor. The SOS decomposition of strong Hankel tensor has been well-studied by Ding, Qi and Wei. On the other hand, very little is known for positive semi-definite Hankel tensors which are not strong Hankel tensors. In this paper, we study some classes of positive semi-definite Hankel tensors which are not strong Hankel tensors. These include truncated Hankel tensors, quasi-truncated Hankel tensors and a class of positive semi-definite Hankel tensors which are not completely decomposable.
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