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

Mikhail M. Kokurin

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

zbMATH Keywords

Hilbert spacenonlinear operator equationiterative regularizationquasi-solutionill-posed problemGauss-Newton methodaccuracy estimatea posteriori stopping ruleirregular equationclosed-range operator

Mathematics Subject Classification ID

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