Email this article On a Continuous Third-Order Method for Monotone Operator Equations in Hilbert Space
- Authors: Ryazantseva I.P.1
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Affiliations:
- Alekseev Nizhny Novgorod State Technical University
- Issue: Vol 54, No 2 (2018)
- Pages: 268-276
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/154698
- DOI: https://doi.org/10.1134/S001226611802012X
- ID: 154698
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Abstract
A continuous third-order method has been constructed for a nonlinear operator equation in a Hilbert space with a strongly monotone operator satisfying the Lipshitz condition. Conditions sufficient for the strong convergence of the method have been derived.
About the authors
I. P. Ryazantseva
Alekseev Nizhny Novgorod State Technical University
Author for correspondence.
Email: lryazantseva@applmath.ru
Russian Federation, Nizhny Novgorod, 603950
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