A modification of minimal residual iterative method to solve linear systems
type: Item
instance of: scholarly article
title: A modification of minimal residual iterative method to solve linear systems
zbMATH Open document ID: 1184.65040
DOI: 10.1155/2009/794589
author: Xingping Sheng
author: Youfeng Su
author: Guoliang Chen
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45903
review text: Summary: We give a modification of minimal residual iteration (MR), which is 1V-DSMR to solve the linear system \(Ax=b\). By analyzing, we find the modifiable iteration to be a projection technique; moreover, the modification of which gives a better (at least the same) reduction of the residual error than MR. In the end, a numerical example is given to demonstrate the reduction of the residual error between the 1V-DSMR and MR.
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5632545
zbMATH Keywords: minimal residual iteration
zbMATH Keywords: projection technique
zbMATH Keywords: residual error
zbMATH Keywords: numerical example
Wikidata QID: Q58649498
MaRDI profile type: Publication
OpenAlex ID: W1995450151
cites work: Iterative solution of linear systems in the 20th century
cites work: A new iterative method for solving linear systems
cites work: Accelerated projection methods for computing pseudoinverse solutions of systems of linear equations
cites work: Row Projection Methods for Large Nonsymmetric Linear Systems
cites work: Projection methods for systems of equations
cites work: A projection method for solving nonsymmetric linear systems on multiprocessors
cites work: Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential
cites work: Variable Accuracy of Matrix-Vector Products in Projection Methods for Eigencomputation
cites work: Projection method for solving a singular system of linear equations and its applications
cites work: On a new iterative method for solving linear systems and comparison results
cites work: Q4414854
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description: scientific article; zbMATH DE number 5632545