结构张量与张量互补问题解集的非空紧性  

Structural Tensor and the Nonemptiness and Compactness of the Solution Set of Tensor Complementary Problems

作　　者：张振伟 凌晨[1] ZHANG Zhenwei;LING Chen(School of Science,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,China)

机构地区：[1]杭州电子科技大学理学院,浙江杭州310018

出　　处：《杭州电子科技大学学报（自然科学版）》2018年第5期85-88,共4页Journal of Hangzhou Dianzi University：Natural Sciences

基　　金：国家自然科学基金资助项目(11571087);浙江省自然科学基金重点资助项目(LZ14A010003)

摘　　要：在闭凸锥上,定义了若干结构张量,并讨论了这些结构张量相互间的关系。同时,针对张量互补问题所涉张量为K-ER的情形,证明了张量互补问题解的存在性及解集的紧性。This paper defines some structural tensors with respect to closed convex cone and discusses the relations of these structural tensors.At the same time,for a class of tensor complementarity problems with K-ERtensors,the existence of solutions and the compactness of the solution set for tensor complementarity problems are proved.

关 键 词：闭凸锥 张量互补问题 K-R张量 K-ER张量 

分 类 号：O221.2[理学—运筹学与控制论]