A derivative-free iterative method for nonlinear ill-posed equations with monotone operators

DOI10.1515/jiip-2014-0049zbMath1473.65063OpenAlexW2556531418MaRDI QIDQ2406544

Santhosh George, M. Thamban Nair

Publication date: 5 October 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2014-0049

zbMATH Keywords

iterative methodadaptive methodLavrentiev regularizationderivative free methodnonlinear ill-posed equations

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

Modified minimal error method for nonlinear ill-posed problems ⋮ An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method ⋮ Simplified iterated Lavrentiev regularization for nonlinear ill-posed monotone operator equations ⋮ Derivative free regularization method for nonlinear ill-posed equations in Hilbert scales

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems
• A derivative free iterative method for the implementation of Lavrentiev regularization method for ill-posed equations
• Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators
• Regularized collocation method for Fredholm integral equations of the first kind
• A modified Newton-Lavrentiev regularization for nonlinear ill-posed Hammerstein-type operator equations
• On convergence of regularized modified Newton's method for nonlinear ill-posed problems
• ITERATED LAVRENTIEV REGULARIZATION FOR NONLINEAR ILL-POSED PROBLEMS
• On the method of Lavrentiev regularization for nonlinear ill-posed problems
• On Lavrentiev Regularization for Ill-Posed Problems in Hilbert Scales
• ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
• An application of Newton-type iterative method for the approximate implementation of Lavrentiev regularization
• On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

This page was built for publication: A derivative-free iterative method for nonlinear ill-posed equations with monotone operators