A Kantorovich-type convergence analysis of the Newton–Josephy method for solving variational inequalities

Author:

Argyros Ioannis K.,Hilout Saïd

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference24 articles.

1. Alefeld, G., Herzberger, J.: Introduction to Interval Computations. Translated from the German by Jon Rokne, Computer Science and Applied Mathematics. Academic, New York (1983)

2. Argyros, I.K.: On the Newton–Kantorovich hypothesis for solving equations. J. Comput. Appl. Math. 169, 315–332 (2004)

3. Argyros, I.K.: A unifying local–semilocal convergence analysis and applications for two-point Newton-like methods in Banach space. J. Math. Anal. Appl. 298, 374–397 (2004)

4. Argyros, I.K.: Convergence and Applications of Newton-Type Iterations. Springer, New York (2008)

5. Argyros, I.K., Hilout, S.: Efficient Methods for Solving Equations and Variational Inequalities. Polimetrica, Milan (2009)

Cited by 2 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. Chapter 22. Expanding Kantorovich’s theorem for solving generalized equations;Iterative Methods and Their Dynamics with Applications;2017-05-03

2. Expanding the Applicability of the Kantorovich’s Theorem for Solving Generalized Equations Using Newton’s Method;International Journal of Applied and Computational Mathematics;2016-12-28

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