Connectedness of the solution set of the tensor complementarity problem
作者: Yan LiZheng-Hai HuangShenglong Hu
作者单位: 1School of Mathematics, Tianjin University, China
刊名: Journal of Mathematical Analysis and Applications, 2020, Vol.487 (1)
来源数据库: Elsevier Journal
DOI: 10.1016/j.jmaa.2020.123965
关键词: Linear complementarity problemTensorTensor complementarity problemConnectedness of the solution setSemi-positive tensor
原始语种摘要: Abstract(#br)In this paper, we investigate the connectedness of the solution set of the tensor complementarity problem (TCP). By exploring the structure of underlying tensor in the TCP, we establish two results. The first is that if the solution set of the TCP is connected, then the underlying tensor must be semi-positive. The other is that the solution set of the TCP is connected under a newly proposed condition. The proposed condition is a tensor extension for the linear complementarity problem, and the result improves a direct adoption of the result for general nonlinear complementarity problem. Some examples are given which confirm our theoretical findings.
全文获取路径: Elsevier  (合作)
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关键词翻译
关键词翻译
  • problem 题目
  • tensor 张量
  • solution 溶液
  • adoption 采纳
  • proposed 建议的
  • connectedness 连通性
  • general 普遍的
  • establish 建立
  • given 已知的
  • direct 直接的