Local and global behavior for algorithms of solving equations
Wang, XH; Li, C
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
WOS Research AreaScience & Technology - Other Topics
WOS SubjectMultidisciplinary Sciences
WOS IDWOS:000168402600001
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Document Type期刊论文
Corresponding AuthorWang, XH
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
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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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