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On Newton's Method for Solving Nonlinear Equations and Function Splitting |
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| Authors: | Ioannis K Argyros & Saï d Hilout |
| Abstract: | We provided in 14] and 15] a semilocal convergence analysis for Newton's method on a Banach space setting, by splitting the given operator. In this study, we improve the error bounds, order of convergence, and simplify the sufficient convergence conditions. Our results compare favorably with the Newton-Kantorovich theorem for solving equations. |
| Keywords: | Newton's method Banach space majorizing sequence semilocal convergence splitting of an operator |
| 点击此处可从《高等学校计算数学学报(英文版)》浏览原始摘要信息 | |