Convergence of Newton's Method and Uniqueness of the Solution of Equations in Banach Spaces II

Acta Mathematica Sinica, English Series

Volumn 19, Issue 2, 2003, Pages 405-412

  Wang, Xing Hua ^a,b   Li, Chong ^a,c  

^a ZHEJIANG UNIVERSITY   (China)

^b WENZHOU UNIVERSITY   (China)

^c CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Convergence ball; Lipschitz condition with L average; Newton's method; Nonlinear operator equation

Indexed keywords

EID: 1442305243     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-002-0238-y     Document Type: Article

References (5)

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2. Smale, S.: Newton's method estimates from data at one point. In The Merging of Disciplines: New Directions in Pure, Applied and Computational Mathematics, Ewing, R., Gross, K., Martin, C. eds, New York: Spring-Verlag, 185-196 (1986)
3. Dedieu, J. P.: Estimations for the separation number of a polynomial system. Journal of Symbolic Computation, to appear
4. Traub, J. F., Wozniakowski, H.: Convergence and complexity of Newton iteration. J. Assoc. For Comp. Math., 29(2), 250-258 (1979)
5. Wang, X. H.: The convergence on Newton's method. KeXue TongBao (A Special Issue of Mathematics, Physics and Chemistry), 25(1), 36-37 (1980)