ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS

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	ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
	Dai Hua 1; Bai Zhongzhi 2
	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.