Regularization of inverse problems by two-point gradient methods in Banach spaces

DOI10.1007/s00211-019-01068-0OpenAlexW2965795320MaRDI QIDQ2334062

Wei Wang, Qi-nian Jin, Min Zhong

Publication date: 6 November 2019

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10645

Mathematics Subject Classification ID

Related Items (21)

A novel two-point gradient method for regularization of inverse problems in Banach spaces ⋮ Convergence analysis of inexact Newton–Landweber iteration under Hölder stability ⋮ A generalized adaptive Levenberg–Marquardt method for solving nonlinear ill-posed problems ⋮ An asymptotical regularization with convex constraints for inverse problems ⋮ Generalized inexact Newton regularization for nonlinear ill-posed problems in Banach spaces ⋮ Convergence rates of a dual gradient method for constrained linear ill-posed problems ⋮ On the asymptotical regularization with convex constraints for nonlinear ill-posed problems ⋮ A Fast Averaged Kaczmarz Iteration with Convex Penalty for Inverse Problems in Hilbert Spaces ⋮ Recovery of non-smooth radiative coefficient from nonlocal observation by diffusion system ⋮ Retraction note to: ``A fast adaptive algorithm for nonlinear inverse problems with convex penalty ⋮ A data-driven Kaczmarz iterative regularization method with non-smooth constraints for ill-posed problems ⋮ Heuristic rule for inexact Newton-Landweber iteration with convex penalty terms of nonlinear: ill-posed problems ⋮ Hanke-Raus rule for Landweber iteration in Banach spaces ⋮ A Fast Data-Driven Iteratively Regularized Method with Convex Penalty for Solving Ill-Posed Problems ⋮ On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces ⋮ Inexact Newton regularization in Banach spaces based on two-point gradient method with uniformly convex penalty terms ⋮ An accelerated sequential subspace optimization method based on homotopy perturbation iteration for nonlinear ill-posed problems ⋮ An accelerated homotopy perturbation iteration for nonlinear ill-posed problems in Banach spaces with uniformly convex penalty ⋮ A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems ⋮ The two-point gradient methods for nonlinear inverse problems based on Bregman projections ⋮ Inexact Newton regularization combined with two-point gradient methods for nonlinear ill-posed problems ^*

Uses Software

• AIR tools

Cites Work

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