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

doi:10.4208/jcm.1004-m0009

	ON SMOOTH LU DECOMPOSITIONS WITH APPLICATIONS TO SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS
	Dai, Hua 1; Bai, Zhong-Zhi 2
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	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
出版者	VSP BV
WOS记录号	WOS:000286949300002
内容类型	期刊论文
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.