Convergence of iterations of Euler family under weak condition

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	Convergence of iterations of Euler family under weak condition
	Wang, XH
	2000-09-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	43 期号:9 页码:958-962
摘要	The iteration maps of Euler family for finding zeros of an operator f in Banach spaces is defined as the partial sum of Taylor expansion of the local inverse f(z)(-1) of f at z. The unified convergence theorem is established for the iterations of Euler family under the assumption that alpha less than or equal to 3 - 2 root 12, while the strong condition that f is analytic in Smale's criterion alpha is replaced by the weak condition that f is of finite order derivative.
关键词	Banach space zero of operator iterations of Euler family criterion alpha under weak condition universal constant unified convergence theorem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000165174000006
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/15042
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.Acad Sinica, Inst Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, XH. Convergence of iterations of Euler family under weak condition[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2000,43(9):958-962.
APA	Wang, XH.(2000).Convergence of iterations of Euler family under weak condition.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,43(9),958-962.
MLA	Wang, XH."Convergence of iterations of Euler family under weak condition".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 43.9(2000):958-962.