Accelerate overrelaxation methods for rank deficient linear systems
type: Item
instance of: scholarly article
title: Accelerate overrelaxation methods for rank deficient linear systems
zbMATH Open document ID: 1029.65039
DOI: 10.1016/S0096-3003(02)00247-3
published in: Applied Mathematics and Computation
publication date: 2003-09-09T00:00:00Z
review text: Accelerated overrelaxation methods are applied to find the least squares solution of minimal norm to linear systems of algebraic equations. The system is first augmented to a block \(4\times 4\) consistent system and then the augmented coefficient matrix is splitted. Intervals are given for the two relaxation parameters where the iteration matrix is semiconvergent, and a method is introduced to compute the least square solution with minimal norm.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1978098
zbMATH Keywords: accelerated overrelaxation splitting
zbMATH Keywords: least squares solution of minimal norm
author: Hongjiong Tian
reviewed by: F. Szidarovszky
MaRDI profile type: Publication
cites work: Q4061081
cites work: Cones and Iterative Methods for Best Least Squares Solutions of Linear Systems
cites work: Inverses of Rank Invariant Powers of a Matrix
cites work: Accelerated Overrelaxation Method
cites work: Successive overrelaxation methods for solving the rank deficient linear least squares problem
cites work: Q4864904
cites work: Q5342712
cites work: Q5604166
Recommended article: On accelerate overrelaxation methods for rank deficient linear systems
Recommended article: Symmetric successive overrelaxation methods for rank deficient linear systems
Recommended article: Successive overrelaxation methods for solving the rank deficient linear least squares problem
Recommended article: Delayed over-relaxation in iterative schemes to solve rank deficient linear system of (matrix) equations
Recommended article: Symmetric successive overrelaxation methods for solving the rank deficient linear least squares problem
Recommended article: Q3170720
Recommended article: The solution of the linear complementarity problem by the matrix analogue of the accelerated overrelaxation iterative method
Recommended article: Comments on ``Symmetric successive overrelaxation methods for rank deficient linear systems''
Recommended article: An acceleration of preconditioned generalized accelerated over relaxation methods for systems of linear equations
Recommended article: Q4433564
description: scientific article; zbMATH DE number 1978098