KMS Of Academy of mathematics and systems sciences, CAS
ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS | |
Dai Hua1; Bai Zhongzhi2 | |
2010-01-01 | |
发表期刊 | Journal of Computational Mathematics |
ISSN | 0254-9409 |
卷号 | 28期号:6页码:745 |
摘要 | We study the smooth LU decomposition of a given analytic functional A-matrix A(A) 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(A), and establish their locally quadratic convergence properties. Several numerical examples are provided to show the feasibility and effectiveness of these new methods. Mathematics subject classification: 15A18, 15A23, 65F15 |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/10639 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.南京航空航天大学 2.中国科学院数学与系统科学研究院 |
推荐引用方式 GB/T 7714 | Dai Hua,Bai Zhongzhi. ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS[J]. Journal of Computational Mathematics,2010,28(6):745. |
APA | Dai Hua,&Bai Zhongzhi.(2010).ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS.Journal of Computational Mathematics,28(6),745. |
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. |
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