On cone of nonsymmetric positive semidefinite matrices
文献类型：期刊论文
| 作者 | Wang, Yingnan1; Xiu, Naihua1; Han, Jiye2 |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000279136100002 |
| 出版者 | ELSEVIER SCIENCE INC |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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