On cone of nonsymmetric positive semidefinite matrices

doi:10.1016/j.laa.2010.03.042

	On cone of nonsymmetric positive semidefinite matrices
	Wang, Yingnan 1; Xiu, Naihua 1; Han, Jiye 2
刊名	LINEAR ALGEBRA AND ITS APPLICATIONS
	2010-10-01
卷号	433 期号:4 页码:718-736
关键词	Nonsymmetric positive semidefinite matrix Hyperbolic cone Facial structure Maximal convex subcone P(0)-matrix Projection
ISSN号	0024-3795
DOI	10.1016/j.laa.2010.03.042
英文摘要	In this paper, we analyze and characterize the cone of nonsymmetric positive semidefinite matrices (NS-psd). Firstly, we study basic properties of the geometry of the NS-psd cone and show that it is a hyperbolic but not homogeneous cone. Secondly, we prove that the NS-psd cone is a maximal convex subcone of P(0)-matrix cone which is not convex. But the interior of the NS-psd cone is not a maximal convex subcone of P-matrix cone. As the byproducts, some new sufficient and necessary conditions for a nonsymmetric matrix to be positive semidefinite are given. Finally, we present some properties of metric projection onto the NS-psd cone. (C) 2010 Elsevier Inc. All rights reserved.
资助项目	National Basic Research Program of China[2010CB732501] ; National Natural Science Foundation of China[70871008]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000279136100002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9725]
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Yingnan
作者单位	1.Beijing Jiaotong Univ, Dept Appl Math, Beijing 100044, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yingnan,Xiu, Naihua,Han, Jiye. On cone of nonsymmetric positive semidefinite matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2010,433(4):718-736.
APA	Wang, Yingnan,Xiu, Naihua,&Han, Jiye.(2010).On cone of nonsymmetric positive semidefinite matrices.LINEAR ALGEBRA AND ITS APPLICATIONS,433(4),718-736.
MLA	Wang, Yingnan,et al."On cone of nonsymmetric positive semidefinite matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 433.4(2010):718-736.