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

• Дата: 2026
• Автори: Chuiko, S., Nesmelova, O., Чуйко, Сергій, Нєсмєлова, Ольга
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2026
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/9888
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...