An accelerated sequential subspace optimization method based on homotopy perturbation iteration for nonlinear ill-posed problems

DOI10.1088/1361-6420/ab4611OpenAlexW2974546290MaRDI QIDQ5204637

Shanshan Tong, Ruixue Gu, Bo Han, Haie Long

Publication date: 5 December 2019

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ab4611

zbMATH Keywords

nonlinear ill-posed problemsiterative regularization methodNesterov accelerationsequential subspace optimization methodhomotopy perturbation iteration

Mathematics Subject Classification ID

Numerical methods for integral equations, integral transforms (65Rxx) Equations and inequalities involving nonlinear operators (47Jxx) Nonlinear integral equations (45Gxx) Numerical analysis in abstract spaces (65Jxx)

Related Items (11)

A fast two-point gradient algorithm based on sequential subspace optimization method for nonlinear ill-posed problems ⋮ A projected homotopy perturbation method for nonlinear inverse problems in Banach spaces ⋮ A Fast Data-Driven Iteratively Regularized Method with Convex Penalty for Solving Ill-Posed Problems ⋮ A projective averaged Kaczmarz iteration for nonlinear ill-posed problems ⋮ Inexact Newton regularization in Banach spaces based on two-point gradient method with uniformly convex penalty terms ⋮ Sequential Subspace Optimization for Recovering Stored Energy Functions in Hyperelastic Materials from Time-Dependent Data ⋮ Accelerated homotopy perturbation iteration method for a non-smooth nonlinear ill-posed problem ⋮ An accelerated homotopy-perturbation-Kaczmarz method for solving nonlinear inverse problems ⋮ A projective two-point gradient Kaczmarz iteration for nonlinear ill-posed problems ⋮ A projected Bouligand–Landweber iteration for non-smooth ill-posed problems ⋮ Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method

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