A revisit on Nesterov acceleration for linear ill-posed problems

DOI10.1016/j.jco.2024.101920MaRDI QIDQ6665428

Qinian Jin, Duo Liu, Qin Huang

Publication date: 17 January 2025

Published in: Journal of Complexity (Search for Journal in Brave)

zbMATH Keywords

convergenceconvergence ratediscrepancy principlelinear ill-posed problemsNesterov acceleration

Mathematics Subject Classification ID

General theory of linear operators (47Axx) Equations and inequalities involving nonlinear operators (47Jxx) Numerical analysis in abstract spaces (65Jxx)

Cites Work

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• Accelerated Landweber iterations for the solution of ill-posed equations
• Convergence rates of a dual gradient method for constrained linear ill-posed problems
• Regularization of inverse problems by two-point gradient methods in Banach spaces
• On Nesterov acceleration for Landweber iteration of linear ill-posed problems
• AIR tools -- a MATLAB package of algebraic iterative reconstruction methods
• The Mathematics of Computerized Tomography
• Landweber-Kaczmarz method in Banach spaces with inexact inner solvers
• Nesterov’s accelerated gradient method for nonlinear ill-posed problems with a locally convex residual functional
• Optimal-order convergence of Nesterov acceleration for linear ill-posed problems*
• Convergence analysis of a two-point gradient method for nonlinear ill-posed problems

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