摘要
给出了一个新的张量特征值的定位集,并且证明了定位集比相关文献中给出的定位集要小,作为定位集的应用,得到了判定张量正定性的更为有效的方法和非负张量谱半径的一个更优上界。
A new eigenvalue localization set for tensors is given,and has been proved to be tighter than those in [1]and [7].Based on this set,we give a checkable sufficient conditions of the positive (semi-)definiteness of tensors,and an upper bound for the spectral radius of nonnegative tensors.
作者
张晓辉
焦爱全
张素梅
龚淑梅
ZHANG Xiao-hui;JIAO Ai-quan;ZHANG Su-mei;GONG Shu-mei(Department of Mathematics ,Handan College,Handan 056002,China;Department of Mathematical Sciences and Engineering,Hebei UniversityEngineering,Handan 056002,China;Yunnan Astronomical Observatory,CAS,Kunming 650011,China)
出处
《数学的实践与认识》
北大核心
2018年第23期220-226,共7页
Mathematics in Practice and Theory
基金
河北省社科基金(201603040127)
云南大学第八届研究生科研创新项目(ynuy2016(89))
关键词
张量特征值
定位集
正定性
谱半径
tensor eigenvalue
localization set
positive definite
spectral radius
