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Improved the Convergence of Iterative Methods for Solving Systems of Equations by Memetics Techniques
by
Liviu Octavian Mafteiu-scai
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 64 - Number 17 |
| Year of Publication: 2013 |
| Authors: Liviu Octavian Mafteiu-scai |
10.5120/10729-5733
|
Liviu Octavian Mafteiu-scai . Improved the Convergence of Iterative Methods for Solving Systems of Equations by Memetics Techniques. International Journal of Computer Applications. 64, 17 ( February 2013), 33-38. DOI=10.5120/10729-5733
@article{
10.5120/10729-5733,
author = {
Liviu Octavian Mafteiu-scai
},
title = { Improved the Convergence of Iterative Methods for Solving Systems of Equations by Memetics Techniques },
journal = {
International Journal of Computer Applications
},
issue_date = { February 2013 },
volume = { 64 },
number = { 17 },
month = { February },
year = { 2013 },
issn = { 0975-8887 },
pages = {
33-38
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume64/number17/10729-5733/
},
doi = { 10.5120/10729-5733 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:16:44.026547+05:30
%A Liviu Octavian Mafteiu-scai
%T Improved the Convergence of Iterative Methods for Solving Systems of Equations by Memetics Techniques
%J International Journal of Computer Applications
%@ 0975-8887
%V 64
%N 17
%P 33-38
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract
This work proposes proposed a technique inspired by memetic algorithm (MA) to improve the convergence of iterative methods for solving systems of equations. In the first phase the system of equations is transformed into an optimization problem. In this first phase, a memetics technique -ie a double optimization, local and global- is used to determine an initial vector favorable to a rapid convergence. In the second phase the system of equations is solved using an iterative method with the initial vector obtained in the previous phase. One can say that it is a hybrid method of solving systems of equations, both linear and nonlinear. The experimental results obtained with conjugate gradient, preconditioned conjugate gradient, Newton, Chebyshev and Broyden methods, serial and parallel versions, recommend the proposed method.
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Computer Science
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Keywords