Two-step diagonal Newton method for large-scale systems of nonlinear equations

Citation

Waziri, Mohammed Yusuf and Leong, Wah June and Abu Hassan, Malik and Monsi, Mansor (2011) Two-step diagonal Newton method for large-scale systems of nonlinear equations. In: 4th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO 2011), 19-21 Apr. 2011, Kuala Lumpur, Malaysia. .

Abstract

We propose some improvements on a diagonal Newton's method for solving large-scale systems of nonlinear equations. In this approach, we use data from two preceding steps to improve the current approximate Jacobian in diagonal form. Via this approach, we can achieve a higher order of accuracy for Jacobian approximation when compares to other existing diagonal-type Newton's method. The results of our numerical tests, demonstrate a clear enhancement in numerical performance of our proposed method.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1109/ICMSAO.2011.5775576
Publisher:	IEEE
Keywords:	Approximation; Diagonal updating; Large systems; Multi-step; Newton method
Depositing User:	Nabilah Mustapa
Date Deposited:	14 Jul 2016 09:22
Last Modified:	14 Jul 2016 09:22
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICMSAO.2011.5775576
URI:	http://psasir.upm.edu.my/id/eprint/47742
Statistic Details:	View Download Statistic

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