On a new iterative algorithm for solving linear equations
type: Item
instance of: scholarly article
title: On a new iterative algorithm for solving linear equations
zbMATH Open document ID: 0728.65024
DOI: 10.1016/0022-4049(91)90042-Z
published in: Journal of Pure and Applied Algebra
publication date: 1991-01-01T00:00:00Z
review text: Let the system of linear algebraic equations \(Ax=b\) be given. The author investigates an algorithm of gradient type for the calculation of the canonical solution. It is proved that the algorithm converges to the canonical solution if \(b\in R(A)\). The case if \(Ax=b\) has no solution is considered as well.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 4203570
zbMATH Keywords: iterative algorithm
zbMATH Keywords: gradient type algorithm
zbMATH Keywords: convergence
zbMATH Keywords: canonical solution
author: Benedict G. Seifert
MaRDI profile type: Publication
cites work: On the Boundedness of an Iterative Procedure for Solving a System of Linear Inequalities
cites work: Q4772602
cites work: Q5595902
cites work: Q3346084
cites work: Q3816922
full work available at URL: 0022-4049(91)90042-z
OpenAlex ID: W2019024683
description: scientific article; zbMATH DE number 4203570