Dynamical Systems Gradient method for solving nonlinear equations with monotone operators
Provides a theoretically justified stopping rule for solving ill-posed nonlinear monotone operator equations, which are common in various applications.
The paper proposes and justifies a discrepancy principle as a stopping rule for the Dynamical Systems Gradient Method applied to ill-posed nonlinear monotone operator equations. Numerical experiments demonstrate the efficiency of the new stopping rule.
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.