Local and global behavior for algorithms of solving equations

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	Local and global behavior for algorithms of solving equations
	Wang, XH ; Li, C
	2001-03-01
发表期刊	CHINESE SCIENCE BULLETIN
ISSN	1001-6538
卷号	46 期号:6 页码:441-+
摘要	The theory of "point estimate" and the concept of "general convergence", which were put forward by Smale in order to investigate the complexity of algorithms for solving equations, have been producing a deep impact on the research about the local behavior, the semi-local behavior and the global behavior of iteration methods. The criterion of point estimate introduced by him not only provides a tool for quantitative analysis of the local behavior but also motivates the establishing of the unified determination for the semi-local behavior. Studying the global behavior in the view of discrete dynamical system will lead to many profound research subjects and open up a rich and colorful prospect. In this review, we will make a summarization about the research progress and some applications in nonsmooth optimizations.
关键词	banach space nonlinear operator equation point estimate Sullivan domain nonsmooth optimization
语种	英语
WOS研究方向	Science & Technology - Other Topics
WOS类目	Multidisciplinary Sciences
WOS记录号	WOS:000168402600001
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16443
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, XH
作者单位	1.Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.SE Univ, Dept Appl Math, Nanjing 210096, Peoples R China
推荐引用方式 GB/T 7714	Wang, XH,Li, C. Local and global behavior for algorithms of solving equations[J]. CHINESE SCIENCE BULLETIN,2001,46(6):441-+.
APA	Wang, XH,&Li, C.(2001).Local and global behavior for algorithms of solving equations.CHINESE SCIENCE BULLETIN,46(6),441-+.
MLA	Wang, XH,et al."Local and global behavior for algorithms of solving equations".CHINESE SCIENCE BULLETIN 46.6(2001):441-+.