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Regularized continuous analog of the newton method for monotone equations in a Hilbert space
Authors:I P Ryazantseva
Abstract:In a Hilbert space we construct a regularized continuous analog of the Newton method for nonlinear equation with a Fréchet differentiable and monotone operator. We obtain sufficient conditions of its strong convergence to the normal solution of the given equation under approximate assignment of the operator and the right-hand of the equation.
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