A Modified Tikhonov Regularization for Linear Operator Equations

DOI10.1080/01630560500248389zbMath1087.65052OpenAlexW2020486201MaRDI QIDQ5704526

Zuhair Nashed, Gongsheng Li

Publication date: 15 November 2005

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560500248389

zbMATH Keywords

numerical resultsoptimal order of convergenceSymm's integral equationsource conditionfirst kind integral equationmodified Tikhonov regularizationill-posed integral equationsill-posed linear problemregularizing filtersa priori choice of regularization parameter

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (1)

On stable parameter estimation and forecasting in epidemiology by the Levenberg-Marquardt algorithm with Broyden's rank-one updates for the Jacobian operator

Cites Work

• An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error
• On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems
• Accelerated Landweber iterations for the solution of ill-posed equations
• Linear integral equations.
• Regularization with Differential Operators: An Iterative Approach
• Error bounds for tikhonov regularization in hilbert scales
• An introduction to the mathematical theory of inverse problems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A Modified Tikhonov Regularization for Linear Operator Equations