Preconditioned GAOR methods for solving weighted linear least squares problems

DOI10.1016/j.cam.2008.04.034zbMath1168.65020OpenAlexW1972510327MaRDI QIDQ2519716

Qingsheng Liu, Xiaoxia Zhou, Yong-Zhong Song, Li Wang

Publication date: 27 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.04.034

zbMATH Keywords

comparisonconvergencenumerical examplelinear systempreconditioningsuccessive overrelaxationGauss-Seidel methodJacobi methodaccelerated overrelaxationweighted linear least squares problem

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (10)

Modified preconditioned GAOR methods for systems of linear equations ⋮ Preconditioned iterative methods for solving weighted linear least squares problems ⋮ Preconditioned generalized mixed-type splitting iterative method for solving weighted least-squares problems ⋮ Some new preconditioned generalized AOR methods for solving weighted linear least squares problems ⋮ Two new preconditioned GAOR methods for weighted linear least squares problems ⋮ Convergence of the GAOR method for one subclass of \(H\)-matrix ⋮ Some new preconditioned generalized AOR methods for generalized least-squares problems ⋮ Comparison results on the preconditioned GAOR method for generalized least squares problems ⋮ Preconditioned modified AOR method for systems of linear equations ⋮ An acceleration of preconditioned generalized accelerated over relaxation methods for systems of linear equations

Cites Work

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• Modified iterative methods for consistent linear systems
• On convergence of the generalized accelerated overrelaxation method
• Improving Jacobi and Gauss-Seidel iterations
• Convergence of the generalized AOR method
• Preconditioned SOR methods for generalized least-squares problems
• Numerical methods for generalized least squares problems
• Improvements of preconditioned AOR iterative method for \(L\)-matrices
• On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices
• Accelerated Overrelaxation Method

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