A stationary iterative pseudoinverse algorithm
type: Item
instance of: scholarly article
title: A stationary iterative pseudoinverse algorithm
zbMATH Open document ID: 0907.65042
DOI: 10.1007/BF02512367
author: T. Elfving
published in: BIT
publication date: 1999-02-18T00:00:00Z
review text: If the matrix of a linear least squares problem is rank-deficient, then many methods for solving this problem fail to produce the unique solution. In this paper an iterative scheme is described that overcomes this difficulty for the case of stationary methods. The algorithm combines two stationary methods: the first one produces any least squares solution, the second one produces the minimum norm solution of a consistent system.
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F50
zbMATH DE Number: 1206833
zbMATH Keywords: stationary iterative methods
zbMATH Keywords: linear least squares problem
zbMATH Keywords: pseudoinverse solution
zbMATH Keywords: algorithm
zbMATH Keywords: minimum norm solution
reviewed by: Horst Hollatz
MaRDI profile type: Publication
cites work: Q4061081
cites work: Q4868585
cites work: Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
cites work: Strong underrelaxation in Kaczmarz's method for inconsistent systems
cites work: The Convergence of Linear Stationary Iterative Processes for Solving Singular Unstructured Systems of Linear Equations
cites work: Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
cites work: Block-iterative methods for consistent and inconsistent linear equations
cites work: On the acceleration of Kaczmarz's method for inconsistent linear systems
cites work: Numerical Methods for Large Sparse Linear Least Squares Problems
cites work: Q3325518
cites work: Methods of conjugate gradients for solving linear systems
cites work: Q3754464
cites work: Q3998992
cites work: Q5581678
cites work: Least-squares solution of overdetermined inconsistent linear systems using kaczmarz's relaxation
cites work: A generalized inverse \(\epsilon\)-algorithm for constructing intersection projection matrices, with applications
cites work: Projection method for solving a singular system of linear equations and its applications
full work available at URL: https://doi.org/10.1007/bf02512367
OpenAlex ID: W2015710108
description: scientific article; zbMATH DE number 1206833