CSpace
Local and global behavior for algorithms of solving equations
Wang, XH; Li, C
2001-03-01
Source PublicationCHINESE SCIENCE BULLETIN
ISSN1001-6538
Volume46Issue:6Pages:441-+
AbstractThe 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.
Keywordbanach space nonlinear operator equation point estimate Sullivan domain nonsmooth optimization
Language英语
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000168402600001
PublisherSCIENCE PRESS
Citation statistics
Cited Times:24[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16443
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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-+.
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