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On a class of Newton-like methods for solving nonlinear equations

โœ Scribed by Ioannis K. Argyros


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
490 KB
Volume
228
Category
Article
ISSN
0377-0427

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โœฆ Synopsis


We provide a semilocal convergence analysis for a certain class of Newton-like methods considered also in [I.K. Argyros, A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space,


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A new modified secant-like method for so
โœ Xiuhua Wang; Jisheng Kou; Chuanqing Gu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 264 KB

In this paper, we present a new secant-like method for solving nonlinear equations. Analysis of the convergence shows that the asymptotic convergence order of this method is 1 + โˆš 3. Some numerical results are given to demonstrate its efficiency.