A new method for solving linear ill-posed problems

DOI10.1016/j.amc.2012.03.098zbMath1246.65069OpenAlexW2135677439MaRDI QIDQ449465

Jian-Jun Zhang, Musa A. Mammadov

Publication date: 30 August 2012

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

Full work available at URL: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/57681

zbMATH Keywords

Newton's methodTikhonov regularizationill-posed problemsgeneralized cross validationL-curve

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22)

Related Items

On a generalization of Regińska's parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization

Uses Software

• LSQR
• Regularization tools
• CRAIG

Cites Work

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• A weighted-GCV method for Lanczos-hybrid regularization
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Tikhonov regularization of large linear problems
• Estimation of the \(L\)-curve via Lanczos bidiagonalization
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• A Bidiagonalization-Regularization Procedure for Large Scale Discretizations of Ill-Posed Problems
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Inexact Newton Methods
• Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
• A special newton-type optimization method
• Rank-Deficient and Discrete Ill-Posed Problems
• Tikhonov Regularization with a Solution Constraint
• Computational Methods for Inverse Problems