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

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 fo...

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Main Authors: Waziri, Mohammed Yusuf, Leong, Wah June, Abu Hassan, Malik, Monsi, Mansor
Format: Conference or Workshop Item
Language:English
Published: IEEE 2011
Online Access:http://psasir.upm.edu.my/id/eprint/47742/1/Two-step%20diagonal%20Newton%20method%20for%20large-scale%20systems%20of%20nonlinear%20equations.pdf
http://psasir.upm.edu.my/id/eprint/47742/
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spelling my.upm.eprints.477422016-07-14T09:22:19Z http://psasir.upm.edu.my/id/eprint/47742/ Two-step diagonal Newton method for large-scale systems of nonlinear equations Waziri, Mohammed Yusuf Leong, Wah June Abu Hassan, Malik Monsi, Mansor 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. IEEE 2011 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/47742/1/Two-step%20diagonal%20Newton%20method%20for%20large-scale%20systems%20of%20nonlinear%20equations.pdf 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. . 10.1109/ICMSAO.2011.5775576
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Conference or Workshop Item
author Waziri, Mohammed Yusuf
Leong, Wah June
Abu Hassan, Malik
Monsi, Mansor
spellingShingle Waziri, Mohammed Yusuf
Leong, Wah June
Abu Hassan, Malik
Monsi, Mansor
Two-step diagonal Newton method for large-scale systems of nonlinear equations
author_facet Waziri, Mohammed Yusuf
Leong, Wah June
Abu Hassan, Malik
Monsi, Mansor
author_sort Waziri, Mohammed Yusuf
title Two-step diagonal Newton method for large-scale systems of nonlinear equations
title_short Two-step diagonal Newton method for large-scale systems of nonlinear equations
title_full Two-step diagonal Newton method for large-scale systems of nonlinear equations
title_fullStr Two-step diagonal Newton method for large-scale systems of nonlinear equations
title_full_unstemmed Two-step diagonal Newton method for large-scale systems of nonlinear equations
title_sort two-step diagonal newton method for large-scale systems of nonlinear equations
publisher IEEE
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/47742/1/Two-step%20diagonal%20Newton%20method%20for%20large-scale%20systems%20of%20nonlinear%20equations.pdf
http://psasir.upm.edu.my/id/eprint/47742/
_version_ 1643833969289986048
score 13.211869

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