Convergence analysis of simplified iteratively regularized Gauss–Newton method in a Banach space setting

DOI10.1080/00036811.2017.1386785zbMath1490.65113OpenAlexW2765563894MaRDI QIDQ4689883

Sharad Kumar Dixit, Pallavi Mahale

Publication date: 22 October 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1386785

zbMATH Keywords

source conditionsiterative regularization methodsnonlinear ill-posed operator equationsstopping indexnonlinear operators on Banach spaces

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (6)

A Study of an Iteratively-Regularized Simplified Landweber Iteration for Nonlinear Inverse Problems in Hilbert Spaces ⋮ Error estimates for the simplified iteratively regularized Gauss-Newton method under a general source condition ⋮ Simplified iteratively regularized Gauss-Newton method in Banach spaces under a general source condition ⋮ A study of frozen iteratively regularized Gauss-Newton algorithm for nonlinear ill-posed problems under generalized normal solvability condition ⋮ Analysis of a generalized regularized Gauss–Newton method under heuristic rule in Banach spaces ⋮ Convergence analysis of iteratively regularized Gauss-Newton method with frozen derivative in Banach spaces

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