A study of a posteriori stopping in iteratively regularized Gauss-Newton-type methods for approximating quasi-solutions of irregular operator equations
DOI10.3103/S1066369X22020062OpenAlexW4312565338MaRDI QIDQ2112328
Publication date: 10 January 2023
Published in: Russian Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1066369x22020062
Hilbert spacenonlinear operator equationiterative regularizationquasi-solutionill-posed problemGauss-Newton methodaccuracy estimatea posteriori stopping ruleirregular equationclosed-range operator
Numerical methods for integral equations, integral transforms (65Rxx) Equations and inequalities involving nonlinear operators (47Jxx) Numerical analysis in abstract spaces (65Jxx)
Cites Work
- Unnamed Item
- Accuracy estimates of Gauss-Newton-type iterative regularization methods for nonlinear equations with operators having normally solvable derivative at the solution
- Iteratively regularized Gauss-Newton method for operator equations with normally solvable derivative at the solution
- Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution
- Iterative regularization methods for nonlinear ill-posed problems
- Regularization algorithms for ill-posed problems
- On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces
This page was built for publication: A study of a posteriori stopping in iteratively regularized Gauss-Newton-type methods for approximating quasi-solutions of irregular operator equations
