Preconditioned conjugate gradient method and generalized successive over relaxation method for the weighted least squares problems

DOI10.1080/00207160310001620759zbMath1056.65034OpenAlexW1993032895MaRDI QIDQ4464266

Ruying Zhang, Xiaoyun Yu, Yi-Min Wei

Publication date: 27 May 2004

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160310001620759

zbMATH Keywords

preconditioningpreconditioned conjugate gradient methodweighted least squares problemgeneralized successive overrelaxation method

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 (4)

Interval iterative methods for computing Moore-Penrose inverse ⋮ SSOR-like methods for saddle point problems ⋮ On generalized stationary iterative method for solving the saddle point problems ⋮ Fixed rank solutions of the matrix equation with statistical applications

Cites Work

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• On the convergence of the SAOR method and the error bounds for its acceleration
• A generalized successive overrelaxation method for least squares problems
• Structured backward errors for KKT systems
• Perturbation bounds for constrained and weighted least squares problems
• Stable Numerical Algorithms for Equilibrium Systems
• Preconditioned Conjugate Gradient Method and Generalized Successive Overrelaxation Method for the Least Squares Problems

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