On the R-order of convergence of Newton's method under mild differentiability conditions
[摘要] A new technique is used instead of the classical majorant principle to analyze the R-order of convergence of the Newton process when more general conditions than the Kantorovich ones are considered. (c) 2005 Elsevier B.V. All rights reserved.
[发布日期] 2006-12-01 [发布机构]
[效力级别] [学科分类]
[关键词] nonlinear equations in Banach spaces;Newton's method;semilocal convergence theorem;R-order of convergence;A priori error bounds;nonlinear integral equation [时效性]
