The analysis study on nonlinear iterative methods for inverse problems

DOI10.1080/00036811.2016.1167190zbMath1368.65079OpenAlexW2338929511WikidataQ58163166 ScholiaQ58163166MaRDI QIDQ5269388

Lingling Du, Jing Li, Jin-Ping Wang

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1080/00036811.2016.1167190

zbMATH Keywords

convergenceBanach spacenonlinear operator equationiterative regularizationLandweber method

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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On the approximate inverse method in SPECT image reconstruction

Cites Work

• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Iterative solution of unstable variational inequalities on approximately given sets
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• On the discrepancy principle for iterative and parametric methods to solve linear ill-posed equations
• Modified Landweber Iteration in Banach Spaces—Convergence and Convergence Rates
• Nonlinear iterative methods for linear ill-posed problems in Banach spaces
• On Tikhonov regularization in Banach spaces – optimal convergence rates results
• An iterative regularization method for the solution of the split feasibility problem in Banach spaces
• An Iteration Formula for Fredholm Integral Equations of the First Kind

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