A modification of the classic conditions of Newton–Kantorovich for Newton’s method-Reference-Cited by-同舟云学术

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A modification of the classic conditions of Newton–Kantorovich for Newton’s method

Published:2013-02 Issue:3-4 Volume:57 Page:584-594
ISSN:0895-7177
Container-title:Mathematical and Computer Modelling
language:en
Short-container-title:Mathematical and Computer Modelling

Author:

Ezquerro J.A.,González D.,Hernández M.A.

Publisher

Elsevier BV

Subject

Computer Science Applications,Modelling and Simulation

Reference22 articles.

1. Functional Analysis;Kantorovich,1982

2. The majorant principle and Newton’s method;Kantorovich;Dokl. Akad. Nauk SSSR,1951

3. Handbook of Integral Equations;Polyanin,1998

4. New approach for numerical solution of Hammerstein integral equations;Rashidinia;Appl. Math. Comput.,2007

5. Solutions of Hammerstein integral equations via a variational principle;Faraci;J. Integral Equations Appl.,2003

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the convergence of inexact Newton-like methods under mild differentiability conditions;Applied Mathematics and Computation;2020-04

2. Semilocal Convergence Theorem for a Newton-like Method;East Asian Journal on Applied Mathematics;2017-08

3. Newton’s Method: an Updated Approach of Kantorovich’s Theory;Frontiers in Mathematics;2017

4. Semilocal Convergence Analysis of S-iteration Process of Newton–Kantorovich Like in Banach Spaces;Journal of Optimization Theory and Applications;2016-10-27

5. A short survey on Kantorovich;ACM Communications in Computer Algebra;2016-09-28

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