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一种新的张量特征值定位集及其应用
Alternative TitleA New Eigenvalue Localization Set for Tensors with Application
张晓辉1; 焦爱全2; 张素梅1; 龚淑梅3
Source Publication数学的实践与认识(Mathematics in Practice and Theory)
2018-12
Volume48Issue:23Pages:220-226
ClassificationO183.2
Contribution Rank第3完成单位
Indexed By核心
Keyword张量特征值 定位集 正定性 谱半径
Abstract

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. 

Other Abstract

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.

Funding Project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)]
Funding Organization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)]
Language中文
Subject Area数学
MOST Discipline Catalogue理学 ; 理学::数学
ISSN1000-0984
Document Type期刊论文
Identifierhttp://ir.ynao.ac.cn/handle/114a53/18530
Collection信息中心
Affiliation1.邯郸学院数理学院,河北,邯郸,056002
2.中国科学院云南天文台, 云南,昆明,650011
3.河北工程大学数理科学与工程学院, 河北,邯郸,056002
Recommended Citation
GB/T 7714
张晓辉,焦爱全,张素梅,等. 一种新的张量特征值定位集及其应用[J]. 数学的实践与认识(Mathematics in Practice and Theory),2018,48(23):220-226.
APA 张晓辉,焦爱全,张素梅,&龚淑梅.(2018).一种新的张量特征值定位集及其应用.数学的实践与认识(Mathematics in Practice and Theory),48(23),220-226.
MLA 张晓辉,et al."一种新的张量特征值定位集及其应用".数学的实践与认识(Mathematics in Practice and Theory) 48.23(2018):220-226.
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