论文标题
nekrasov $ z $张量的互补问题
Complementarity Problem With Nekrasov $Z$ tensor
论文作者
论文摘要
值得知道特定的张量类属于$ p $ tensor,这确保了解决张量互补问题(TCP)的紧凑性。在这项研究中,在张量互补问题的背景下,我们提出了一种新的张量nekrasov $ z $ tensor。我们表明,$ p $ tensor的类包含均匀的nekrasov $ z $张量的类别,具有正对角元素。在这种情况下,我们提出了一个程序,可以将Nekrasov $ z $张量转换为对角线占主导地位的张量。 关键字:对角线主导张量,nekrasov张量,非语言$ h $ tensor,nekrasov $ z $ tensor,$ p $ - tensor-tensors,张量补充问题问题
It is worth knowing that a particular tensor class belongs to $P$-tensor which ensures the compactness to solve tensor complementarity problem (TCP). In this study, we propose a new class of tensor, Nekrasov $Z$ tensor, in the context of the tensor complementarity problem. We show that the class of $P$-tensor contains the class of even ordered Nekrasov $Z$ tensors with positive diagonal elements. In this context, we propose a procedure by which a Nekrasov $Z$ tensor can be transformed into a tensor which is diagonally dominant. Keywords: Diagonally dominant tensor, Nekrasov tensors, Nonsingular $H$ tensor, Nekrasov $Z$ tensor, $P$-tensors, Tensor complementarity problem