On a Continuous Third-Order Method for Monotone Operator Equations in Hilbert Space


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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.

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I. Ryazantseva

Alekseev Nizhny Novgorod State Technical University

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Email: lryazantseva@applmath.ru
俄罗斯联邦, Nizhny Novgorod, 603950

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