ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
文献类型：期刊论文
| 作者 | Dai, Hua1; Bai, Zhong-Zhi2 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2010-11-01 |
| 卷号 | 28期号:6页码:745-766 |
| 关键词 | Matrix-valued function Smooth LU decomposition Pivoting Nonlinear eigenvalue problem Multiple eigenvalue Newton method |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.1004-m0009 |
| 英文摘要 | We study the smooth LU decomposition of a given analytic functional lambda-matrix A(lambda) and its block-analogue. Sufficient conditions for the existence of such matrix decompositions are given, some differentiability about certain elements arising from them are proved, and several explicit expressions for derivatives of the specified elements are provided. By using these smooth LU decompositions, we propose two numerical methods for computing multiple nonlinear eigenvalues of A(lambda), and establish their locally quadratic convergence properties. Several numerical examples are provided to show the feasibility and effectiveness of these new methods. |
| 资助项目 | National Basic Research Program[2005CB321702] ; China Outstanding Young Scientist Foundation[10525102] ; National Natural Science Foundation, P.R. China[10471146] ; State Key Laboratory of Scientific/Engineering Computing of Chinese Academy of Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000286949300002 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10638]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dai, Hua |
| 作者单位 | 1.Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LESC, ICMSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dai, Hua,Bai, Zhong-Zhi. ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2010,28(6):745-766. |
| APA | Dai, Hua,&Bai, Zhong-Zhi.(2010).ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS.JOURNAL OF COMPUTATIONAL MATHEMATICS,28(6),745-766. |
| MLA | Dai, Hua,et al."ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS".JOURNAL OF COMPUTATIONAL MATHEMATICS 28.6(2010):745-766. |
入库方式： OAI收割
来源：数学与系统科学研究院
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