广义Cauchy张量的正定性及互补问题的研究  

Study on Positive Definiteness of Generalized Cauchy Tensor and Complementarity Problem

作　　者：单锡泉 李梅霞[2] 车海涛[2] 

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266590 [2]潍坊学院数学与信息科学学院,山东潍坊261061

出　　处：《数学的实践与认识》2016年第23期235-240,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(11401438;11571120);山东省自然科学基金项目(ZR2013FL032)

摘　　要：广义Cauchy张量是由Cauchy张量推广而来,将在Cauchy张量的基础上,围绕广义Cauchy张量的正定性及共正性展开研究,并提出关于广义Cauchy张量互补问题的几个结论.The Cauchy tensor has been studied by many scholars recently. The generalized Cauchy tensor is extended from the Cauchy tensor. Are some properties of Cauchy tensor also established for the generalized Cauchy tensor？ In this paper, we will study the positive definiteness and the copositive of the generalized Cauchy tensor based on the Cauchy tensor, and some conclusions about the complementarity problem of generalized Cauchy tensor are presented.

关 键 词：广义Cauchy张量 正定性 共正性 张量互补问题 

分 类 号：O183.2[理学—数学]