Dynamical Systems Gradient Method for Solving Nonlinear Equations with Monotone Operators
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.
KeywordsDynamical systems method (DSM) Nonlinear operator equations Monotone operators Discrepancy principle
Mathematics Subject Classification (2000)47J05 47J06 47J35 65R30
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