A Convergence Criterion of Newton’s Method Based on the Heisenberg Uncertainty Principle

Author:

Kouhkani S.ORCID,Koppelaar H.,Taghipour Birgani O.,Argyros I. K.,Radenović S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference29 articles.

1. Argyros, I.K.: Computational Theory of Iterative Methods, vol. 15, 1st edn, Elsevier Science, San Diego (2007)

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

3. Argyros, I.K., George, S.: Ball convergence comparison between three iterative methods in Banach space under hypotheses only on the first derivative. Appl. Math. Comput. 266, 1031–1037 (2015)

4. Argyros, I.K., Hilout, S.: The majorant method in the theory of Newton–Kantorovich approximations and generalized Lipschitz conditions. J. Comput. Appl. Math. 291, 332–347 (2016)

5. Argyros, I.K., Magrenan, A.A.: A Contemporary Study of Iterative Methods, Convergence, Dynamics and Applications. Academic Press, New York (2018)

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