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A version of the Dynamical Systems Gradient Method for solving ill-posednonlinear monotone operator equations is studied in this paper. A discrepancyprinciple is proposed and justified. A numerical experiment was carried outwith the new stopping rule. Numerical experiments show that the proposedstopping rule is efficient. Equations with monotone operators are of interestin many applications.

Dynamical Systems Gradient method for solving nonlinear equations with monotone operators