A necessary and sufficient condition for semiconvergence and optimal parameter of the SSOR method for solving the rank deficient linear least squares problem

DOI10.1016/j.amc.2006.04.066zbMath1114.65037OpenAlexW1969922506MaRDI QIDQ858764

Xin Chen, Yong-Lin Chen

Publication date: 11 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.04.066

zbMATH Keywords

successive overrelaxationoptimal parameterAOR methodproper splittingaccelerated overrelaxationminimum norm least squares solutionsymmetric successive overrelaxation iteration method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)

Related Items (2)

USSOR methods for solving the rank deficient linear least squares problem ⋮ A note on the optimal parameters of USSOR method for solving linear least squares problems

Cites Work

• Successive overrelaxation methods for solving the rank deficient linear least squares problem
• p-cyclic matrices and the symmetric successive overrelaxation method
• Subproper splitting for rectangular matrices
• Accelerate overrelaxation methods for rank deficient linear systems
• Generalized inverses. Theory and applications.
• Semiconvergence criteria of iterations and extrapolated iterations and constructive methods of semiconvergent iteration matrices
• Symmetric successive overrelaxation methods for solving the rank deficient linear least squares problem
• Proper Splittings of Rectangular Matrices
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