Orthogonal projection regularization operators

DOI10.1007/s11075-007-9080-8zbMath1124.65043OpenAlexW2168913925MaRDI QIDQ2641440

Fiorella Sgallari, Serena Morigi, Lothar Reichel

Publication date: 20 August 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-007-9080-8

zbMATH Keywords

numerical examplessingular value decompositionTikhonov regularizationill-posed problemsorthogonal projectionimage restorationtruncated iterationfirst kind integral equations

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Ill-posedness and regularization problems in numerical linear algebra (65F22) Numerical methods for integral equations (65R20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fredholm integral equations (45B05)

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Uses Software

• LSQR
• Regularization tools
• CRAIG

Cites Work

• Regularization methods for large-scale problems
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Tikhonov regularization of large linear problems
• A weighted pseudoinverse, generalized singular values, and constrained least squares problems
• A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Algorithms for the regularization of ill-conditioned least squares problems
• Breakdown-free GMRES for Singular Systems
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