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On Performance Analysis of Diagonal Variants of Newton's Method for Large -Scale Systems of Nonlinear Equations

by M. Y. Waziri, H. Aisha, A. I. Gambo
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 35 - Number 3
Year of Publication: 2011
Authors: M. Y. Waziri, H. Aisha, A. I. Gambo
10.5120/4381-6064

M. Y. Waziri, H. Aisha, A. I. Gambo . On Performance Analysis of Diagonal Variants of Newton's Method for Large -Scale Systems of Nonlinear Equations. International Journal of Computer Applications. 35, 3 ( December 2011), 18-22. DOI=10.5120/4381-6064

@article{ 10.5120/4381-6064,
author = { M. Y. Waziri, H. Aisha, A. I. Gambo },
title = { On Performance Analysis of Diagonal Variants of Newton's Method for Large -Scale Systems of Nonlinear Equations },
journal = { International Journal of Computer Applications },
issue_date = { December 2011 },
volume = { 35 },
number = { 3 },
month = { December },
year = { 2011 },
issn = { 0975-8887 },
pages = { 18-22 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume35/number3/4381-6064/ },
doi = { 10.5120/4381-6064 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:21:02.858682+05:30
%A M. Y. Waziri
%A H. Aisha
%A A. I. Gambo
%T On Performance Analysis of Diagonal Variants of Newton's Method for Large -Scale Systems of Nonlinear Equations
%J International Journal of Computer Applications
%@ 0975-8887
%V 35
%N 3
%P 18-22
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, we compared and analyzed some newly diagonal variants of Newton methods for solving large -scale systems of nonlinear equations. Due to the fact that, the diagonal updating scheme is computationally less expensive than classical Newton methods and some of its variants. The two diagonal updating were introduced by Waziri et.al. [6] and Waziri et. al.[7] respectively . Reasonable analysis into the efficiency and stability of the two diagonal updating scheme are given by numerical evaluation of some benchmark nonlinear systems with Newton method and some of its variants.

References
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  7. M.Y.Waziri, Leong, W.J., Hassan,M.A., Monsi, M., 2010 Jacobian computation-free Newton method for systems of Non-Linear equations. Journal of numerical Mathematics and stochastic.2 :1 : 54-63.
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Index Terms

Computer Science
Information Sciences

Keywords

Numerical Method solution Newton’s method

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