Dynamical Systems Gradient method for solving nonlinear equations with monotone operators

Abstract

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.

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References in corpus (4)

• Dynamical systems method for solving operator equations
• Dynamical systems method for solving nonlinear equations with monotone operators
• Global convergence for ill-posed equations with monotone operators: the dynamical systems method
• Dynamical Systems Method for ill-posed equations with monotone operators

Cited by in corpus (5)

• Dynamical systems method for solving nonlinear equations with monotone operators
• Nonlinear differential inequality
• A nonlinear inequality and applications
• Dynamical Systems Method for solving nonlinear equations with locally Holder continuous monotone operators
• An iterative scheme for solving equations with locally $\sigma$-inverse monotone operators