Center conditions on high order derivatives in the semilocal convergence of Newton’s method

Author:

Ezquerro J.A.,Hernández-Verón M.A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference19 articles.

1. Third-order iterative methods under Kantorovich conditions;Amat;J. Math. Anal. Appl.,2007

2. The Newton–Kantorovich method under mild differentiability conditions and the Ptàk error estimates;Argyros;Mh. Math.,1990

3. Remarks on the convergence of Newton’s method under Hölder continuity conditions;Argyros;Tamkang J. Math.,1992

4. A unifying semilocal convergence theorem for Newton-like methods based on center Lipschitz conditions;Argyros;Comput. Appl. Math.,2002

5. On a theorem of L. V. Kantorovich conserning Newton’s method;Argyros;J. Comput. Appl. Math.,2003

Cited by 3 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. Auxiliary point on the semilocal convergence of Newton’s method;Journal of Computational and Applied Mathematics;2019-07

2. Majorizing Sequences for Nonlinear Fredholm-Hammerstein Integral Equations;Studies in Applied Mathematics;2017-12-07

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

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