Accelerate overrelaxation methods for rank deficient linear systems

DOI10.1016/S0096-3003(02)00247-3zbMath1029.65039MaRDI QIDQ1406272

Hong-Jiong Tian

Publication date: 9 September 2003

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

zbMATH Keywords

least squares solution of minimal normaccelerated overrelaxation splitting

Mathematics Subject Classification ID

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

Related Items

USSOR methods for solving the rank deficient linear least squares problem ⋮ Semiconvergence of block AOR method for singular \(p\)-cyclic matrices ⋮ Determination of the optimal value of relaxation parameter in symmetric SOR method for rectangular coefficient matrices ⋮ A necessary and sufficient condition for semiconvergence and optimal parameter of the SSOR method for solving the rank deficient linear least squares problem ⋮ Comments on ``Symmetric successive overrelaxation methods for rank deficient linear systems ⋮ Chebyshev polynomial acceleration for block SOR methods for solving the rank-deficient least-squares problem ⋮ AOR iterative methods for rank deficient least squares problems ⋮ Symmetric block-SOR methods for rank-deficient least squares problems ⋮ Symmetric successive overrelaxation methods for rank deficient linear systems ⋮ On accelerate overrelaxation methods for rank deficient linear systems ⋮ Symmetric successive overrelaxation methods for solving the rank deficient linear least squares problem ⋮ On an iterative method for solving the least squares problem of rank-deficient systems ⋮ A note on the optimal parameters of USSOR method for solving linear least squares problems

Cites Work

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• Successive overrelaxation methods for solving the rank deficient linear least squares problem
• Accelerated Overrelaxation Method
• Inverses of Rank Invariant Powers of a Matrix
• Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems