THE DYNAMICAL SYSTEMS METHOD FOR SOLVING NONLINEAR EQUATIONS WITH MONOTONE OPERATORS

DOI10.1142/S1793557110000064zbMath1185.47070arXiv0901.4377OpenAlexW2570440314MaRDI QIDQ5306224

Nguyen Si Hoang, Alexander G. Ramm

Publication date: 8 April 2010

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.4377

zbMATH Keywords

monotone operatorsill-posed problemsnonlinear inequalitiesnonlinear operator equationsdynamical systems method

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (5)

Convergence of the gradient method for ill-posed problems ⋮ Stability of solutions to evolution problems ⋮ How large is the class of operator equations solvable by a DSM Newton-type method? ⋮ Dynamical systems gradient method for solving ill-conditioned linear algebraic systems ⋮ On the DSM Newton-type method

Cites Work

• Unnamed Item
• Unnamed Item
• Discrepancy principle for DSM. II
• Ill-posed problems with unbounded operators
• Dynamical systems method (DSM) for selfadjoint operators
• Dynamical systems method for solving operator equations
• Iterative solution of linear equations with unbounded operators
• A nonlinear inequality and applications
• Dynamical systems method (DSM) for general nonlinear equations
• An iterative scheme for solving nonlinear equations with monotone operators
• A discrepancy principle for equations with monotone continuous operators
• Dynamical systems gradient method for solving nonlinear equations with monotone operators
• Dynamical systems method for solving operator equations.
• Dynamical systems method and surjectivity of nonlinear maps
• Dynamical systems method for ill-posed equations with monotone operators
• Discrepancy principle for the dynamical systems method
• On unbounded operators and applications
• A new discrepancy principle
• Dynamical systems method (DSM) for nonlinear equations in Banach spaces
• Implicit function theorem via the DSM
• Dynamical systems method (DSM) for unbounded operators
• Nonlinear Ill-posed Problems of Monotone Type
• Dynamical Systems Method and a Homeomorphism Theorem
• Dynamical systems method for solving linear finite-rank operator equations
• Dynamical systems method for solving nonlinear equations with monotone operators
• On the method of Lavrentiev regularization for nonlinear ill-posed problems
• Global convergence for ill-posed equations with monotone operators: the dynamical systems method

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