Least-squares solution of AX B = D over symmetric positive semidefinite matrices X
文献类型：期刊论文
| 作者 | Liao, AP; Bai, ZZ |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2003-03-01 |
| 卷号 | 21期号:2页码:175-182 |
| 关键词 | least-squares solution matrix equation symmetric positive semidefinite matrix generalized singular value decomposition |
| ISSN号 | 0254-9409 |
| 英文摘要 | Least-squares solution of AXB = D with respect to symmetric positive semidefinite matrix X is considered. By making use of the generalized singular value decomposition, we derive general analytic formulas, and present necessary and sufficient conditions for guaranteeing the existence of the solution. By applying MATLAB 5.2, we give some numerical examples to show the feasibility and accuracy of this construction technique in the finite precision arithmetic. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182174300007 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18580]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Changsha Univ, Dept Math & Informat Sci, Changsha 410003, Peoples R China 2.Hunan Univ, Dept Math, Changsha 410082, Peoples R China 3.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liao, AP,Bai, ZZ. Least-squares solution of AX B = D over symmetric positive semidefinite matrices X[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(2):175-182. |
| APA | Liao, AP,&Bai, ZZ.(2003).Least-squares solution of AX B = D over symmetric positive semidefinite matrices X.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(2),175-182. |
| MLA | Liao, AP,et al."Least-squares solution of AX B = D over symmetric positive semidefinite matrices X".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.2(2003):175-182. |
入库方式： OAI收割
来源：数学与系统科学研究院
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