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math.SP2015★ 4 cited
Further Results on Cauchy Tensors and Hankel Tensors
Haibin Chen, Guoyin Li, Liqun Qi
In this article, we present various new results on Cauchy tensors and Hankel tensors. { We first introduce the concept of generalized Cauchy tensors which extends Cauchy tensors in…
math.SP2014★ 11 cited
Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors
Haibin Chen, Liqun Qi
Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors. An even order s…