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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| 言語: | English |
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IEEE
2011
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| オンライン･アクセス: | 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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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 |
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Asia |
| country |
Malaysia |
| content_provider |
Universiti Putra Malaysia |
| content_source |
UPM Institutional Repository |
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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 |
13.251813 |