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Ioannis
K. Argyros. (2010) An improved convergence analysis for the Newton–Kantorovich method using recurrence relations. International Journal of Computer Mathematics 87:3, pages 642-652.
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Ioannis
K. Argyros. (2010) On the convergence region of Newton's method under Hölder continuity conditions. International Journal of Computer Mathematics 87:2, pages 317-326.
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Articles from other publishers (6)
S. Kouhkani, H. Koppelaar, O. Taghipour Birgani, I. K. Argyros & S. Radenović. (2022) A Convergence Criterion of Newton’s Method Based on the Heisenberg Uncertainty Principle. International Journal of Applied and Computational Mathematics 8:1.
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José Antonio Ezquerro Fernandez & Miguel Ángel Hernández VerónJosé Antonio Ezquerro Fernández & Miguel Ángel Hernández Verón. 2020. Mild Differentiability Conditions for Newton's Method in Banach Spaces. Mild Differentiability Conditions for Newton's Method in Banach Spaces
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J. A. Ezquerro & M. A. Hernández-Verón. (2017) A study of the influence of center conditions on the domain of parameters of Newton’s method by using recurrence relations. Advances in Computational Mathematics 43:5, pages 1103-1129.
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J.M. Gutiérrez, Á.A. Magreñán & N. Romero. (2013) On the semilocal convergence of Newton–Kantorovich method under center-Lipschitz conditions. Applied Mathematics and Computation 221, pages 79-88.
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Petko D. Proinov. (2010) New general convergence theory for iterative processes and its applications to Newton–Kantorovich type theorems. Journal of Complexity 26:1, pages 3-42.
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Ioannis K. Argyros. (2009) Improved estimates on majorizing sequences for the Newton–Kantorovich method. Journal of Applied Mathematics and Computing 32:1, pages 1-18.
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