Convergence on the iteration of Halley family in weak conditions

作     者：WANG XinghuaDepartment of Mathematics, Hangzhou University, Hangzhou 310028, China 

作者机构：Department of Mathematics Hangzhou University Hangzhou China 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1997年第42卷第7期

页      面：552-555页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：operator equations Banuch space the iteration of Halley family convergence weak conditions. 

摘      要：WE have obtained the convergence theorems of the iteration of Halley family by the point estimate of Smale. In the point estimate, map f which is desired to be solved is presumed to be analytic in some proper neighborhood at the initial value z0. From the viewpoint of