An apriori parameter choice strategy and a fifth order iterative scheme for Lavrentiev regularization method

DOI10.1007/s12190-022-01782-3OpenAlexW4295008454MaRDI QIDQ2700151

Yanyan Li

Publication date: 20 April 2023

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-022-01782-3

zbMATH Keywords

source conditionill-posed equationapriori parameter choice strategyfifth order convergence

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Numerical methods for integral transforms (65R10) Numerical solutions to equations with linear operators (65J10) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

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• Regularized Versions of Continuous Newton's Method and Continuous Modified Newton's Method Under General Source Conditions
• A Quadratic Convergence Yielding Iterative Method for Nonlinear Ill-posed Operator Equations

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