GENERALIZED TWO-STEP NEWTON–KANTOROVICH METHOD FOR APPROXIMATE SOLUTION OF NONLINEAR EQUATIONS WITH NON-DIFFERENTIABLE OPERATORS
Abstract
The generalized two-step Newton–Kantorovich method for approximate solution of nonlinear equations with nondifferentiable operators allowing the separation of a regular smooth component is considered. Using majorants, the convergence of this method is proved and estimates for the convergence rate are obtained.
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