On an iterative method for solving the least squares problem of rank-deficient systems

DOI10.1080/00207160.2014.900173zbMath1317.65093OpenAlexW2021408912MaRDI QIDQ5259056

Jieyong Zhou, Leping Sun, Yi-Min Wei

Publication date: 24 June 2015

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

Full work available at URL: https://doi.org/10.1080/00207160.2014.900173

zbMATH Keywords

iterative methodJordan canonical formindex of a matrixiterative refinement

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

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• Successive overrelaxation methods for solving the rank deficient linear least squares problem
• Accelerate overrelaxation methods for rank deficient linear systems
• Complete stagnation of GMRES
• A class of incomplete orthogonal factorization methods. II: Implemetation and results
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Solution of Sparse Indefinite Systems of Linear Equations
• Bidiagonalization of Matrices and Solution of Linear Equations
• A class of incomplete orthogonal factorization methods. I: Methods and theories

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