An acceleration of Newton's method:: Super-Halley method

被引：122
|
作者：
Gutiérrez, JM [1 ]
Hernández, MA [1 ]
机构：
[1] Univ La Rioja, Dept Matemat & Computac, Logrono 26004, Spain
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 117卷 / 2-3期
关键词：
non-linear equation; Newton's method; Kantorovich assumptions; iterative processes; third order method;
D O I：
10.1016/S0096-3003(99)00175-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
From a study of the convexity we give an acceleration for Newton's method and obtain a new third order method. Then we use this method for solving non-linear equations in Banach spaces, establishing conditions on convergence, existence and uniqueness of solution, as well as error estimates (C) 2001 Elsevier Science Inc. All rights reserved.
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页码：223 / 239
页数：17
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