Nonnegative ill-conditioned linear systems and GMRES method

DOI10.1007/s12190-009-0227-8zbMath1177.65061OpenAlexW1999244542MaRDI QIDQ1034988

Maziar Salahi

Publication date: 9 November 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0227-8

zbMATH Keywords

barrier methodnumerical examplesTikhonov regularizationill-conditioned linear systemsGMRES methodgeneralized minimal residual (GMRES) method

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10)

Uses Software

• Regularization tools
• Mosek

Cites Work

• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Regularization methods for the stable solution of inverse problems
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• An interior-point trust-region-based method for large-scale non-negative regularization
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