Dynamical systems method for solving nonlinear equations with monotone operators

DOI10.1090/S0025-5718-09-02260-1zbMath1201.65086arXiv0903.0529OpenAlexW2135623734MaRDI QIDQ3584775

Nguyen Si Hoang, Alexander G. Ramm

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0529

zbMATH Keywords

Hilbert spacenumerical experimentsnonlinear integral equationsdiscrepancy principlemonotone operatorsnonlinear operator equationsill-posed nonlinear equationsdynamical systems methoda posteriori stopping rule

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Nonlinear evolution equations (47J35)

Related Items (9)

A quadratic convergence yielding iterative method for the implementation of Lavrentiev regularization method for ill-posed equations ⋮ THE DYNAMICAL SYSTEMS METHOD FOR SOLVING NONLINEAR EQUATIONS WITH MONOTONE OPERATORS ⋮ Dynamical systems method of gradient type for solving nonlinear equations with monotone operators ⋮ An efficient discretization scheme for solving nonlinear ill-posed problems ⋮ How large is the class of operator equations solvable by a DSM Newton-type method? ⋮ Parallel regularized Newton method for nonlinear ill-posed equations ⋮ Dynamical systems method (DSM) for solving equations with monotone operators without smoothness assumptions on \(F{^{\prime}}(u)\) ⋮ A Regularized Iterative Scheme for Solving Nonlinear Ill-Posed Problems ⋮ A simplified Gauss-Newton iterative scheme with an a posteriori parameter choice rule for solving nonlinear ill-posed problems

Cites Work

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• Dynamical systems method for solving operator equations
• An iterative scheme for solving nonlinear equations with monotone operators
• Theory of linear ill-posed problems and its applications. Transl., updated and revised from the Russian edition 1978
• Dynamical systems method for solving operator equations.
• Dynamical systems method for ill-posed equations with monotone operators
• Discrepancy principle for the dynamical systems method
• Solving Ordinary Differential Equations I
• Dynamical systems method (DSM) for unbounded operators
• Global convergence for ill-posed equations with monotone operators: the dynamical systems method
• Iterative Solution of Nonlinear Equations in Several Variables

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