Global convergence for ill-posed equations with monotone operators: the dynamical systems method

DOI10.1088/0305-4470/36/16/102zbMath1048.65056arXivmath/0409325OpenAlexW2019203964MaRDI QIDQ4426274

Alexander G. Ramm

Publication date: 16 September 2003

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409325

zbMATH Keywords

regularizationCauchy problemHilbert spaceill-posed problemnonlinear operator equationsminimum norm solution

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution of ill-posed problems involving ordinary differential equations (65L08)

Related Items (9)

R-K type Landweber method for nonlinear ill-posed problems ⋮ THE DYNAMICAL SYSTEMS METHOD FOR SOLVING NONLINEAR EQUATIONS WITH MONOTONE OPERATORS ⋮ A Runge-Kutta type modified Landweber method for nonlinear ill-posed operator equations ⋮ Dynamical systems method (DSM) for solving equations with monotone operators without smoothness assumptions on \(F{^{\prime}}(u)\) ⋮ Dynamical systems method for solving nonlinear equations with monotone operators ⋮ Dynamical systems method and surjectivity of nonlinear maps ⋮ Dynamical systems method for ill-posed equations with monotone operators ⋮ On the DSM Newton-type method ⋮ Dynamical systems gradient method for solving nonlinear equations with monotone operators

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