scientific article; zbMATH DE number 6969568

zbMath1413.65240MaRDI QIDQ4553774

Pallavi Mahale, M. Thamban Nair

Publication date: 31 October 2018

Full work available at URL: http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/186

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

inverse problemsmonotone operatordiscrepancy principleill-posed problemsLavrentiev regularization

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (8)

Lavrentiev's regularization method in Hilbert spaces revisited ⋮ A Convergence Analysis of the Iterated Lavrentiev Regularization Method under a Lipschitz Condition ⋮ A derivative-free iterative method for nonlinear ill-posed equations with monotone operators ⋮ Iterative Lavrentiev regularization method under a heuristic rule for nonlinear ill-posed operator equations ⋮ Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space ⋮ Error estimates for the simplified iteratively regularized Gauss-Newton method under a general source condition ⋮ Simplified iterated Lavrentiev regularization for nonlinear ill-posed monotone operator equations ⋮ A regularized variational inequality approach for nonlinear monotone ill-posed equations

Cites Work

• Unnamed Item
• Unnamed Item
• Lavrentiev regularization of nonlinear ill-posed problems
• On an a posteriori parameter choice strategy for Tikhonov regularization of nonlinear ill-posed problems
• Lavrentiev regularization for linear ill-posed problems under general source conditions
• Lavrentiev regularization and balancing principle for solving ill-posed problems with monotone operators
• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems
• On the method of Lavrentiev regularization for nonlinear ill-posed problems
• On the choice of the regularization parameter for ordinary and iterated Tikhonov regularization of nonlinear ill-posed problems
• Regularization of exponentially ill-posed problems
• Tikhonov regularization anda posteriorirules for solving nonlinear ill posed problems

This page was built for publication: