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math.SP2014★ 3 cited
Centrosymmetric, Skew Centrosymmetric and Centrosymmetric Cauchy Tensors
Haibin Chen, Zhen Chen, Liqun Qi
Recently, Zhao and Yang introduced centrosymmetric tensors. In this paper, we further introduce skew centrosymmetric tensors and centrosymmetric Cauchy tensors, and discuss propert…
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…