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《Journal of North China University of Technology》 2002-03
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A Note and an Addition to Newton's Method

Zheng Quan (College of Basic Sciences, North China Univ. of Tech., 100041,Beijing, China)  
In this paper, Newton iteration method for solving nonlinear equations is discussed. It is proved that Newton iteration method is still quadratically convergent under a weak condition, and a new point is added to Newton's method, i.e., a quadratic convergence parametric iteration formula without derivative. Finally, some numerical experiments are performed.
【Fund】: 国家自然科学基金资助项目 (1970 10 0 1);; 北京市教委科技发展计划资助项目
【CateGory Index】: O242.23
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