Title: New convergence theorems for Newton-like-iterative methods
Abstract: Newton-like-iterative methods proposed by T.J.Ypma are obtained by using an iterative method to solve Newton-like equations.In the early paper of Ypma,the theory of inexact Newton methods was applied to study the convergence of Newton-like-iterative methods.Unlike earlier results,new local convergence theorems for Newton-like-iterative methods by applying the theory of inexact Newton-like methods is proposed in this paper,which is seemed simpler and clearer.Moreover,the analysis is carried out in affine invariant terms.
Publication Year: 2010
Publication Date: 2010-01-01
Language: en
Type: article
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