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On the generalization of the Newton–Kantorovich theorem for nonlinear operator equations

UDC 517.98, 519.61 We construct a modification of the classical Newton-Kantorovich method for nonlinear operator equations whose linearization gives equations that are, as a rule, solvable. For finding the solution of a nonlinear operator equation, we propose to use an iterative scheme with quadrati...

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Bibliographic Details
Date:	2026
Main Authors:	Chuiko, S., Nesmelova, O., Чуйко, Сергій, Нєсмєлова, Ольга
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9888
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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