Resumen de Dynamical Systems Gradient Method for Solving Nonlinear Equations with Monotone Operators

N. S. Hoang, Alexander G. Ramm

• A version of the Dynamical Systems Gradient Method for solving ill-posed nonlinear monotone operator equations is studied in this paper. A discrepancy principle is proposed and justified. A numerical experiment was carried out with the new stopping rule. Numerical experiments show that the proposed stopping rule is efficient. Equations with monotone operators are of interest in many applications.