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...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
IEEE
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/47742/ http://psasir.upm.edu.my/id/eprint/47742/1/Two-step%20diagonal%20Newton%20method%20for%20large-scale%20systems%20of%20nonlinear%20equations.pdf |
| _version_ | 1848850893707935744 |
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| author | Waziri, Mohammed Yusuf Leong, Wah June Abu Hassan, Malik Monsi, Mansor |
| author_facet | Waziri, Mohammed Yusuf Leong, Wah June Abu Hassan, Malik Monsi, Mansor |
| author_sort | Waziri, Mohammed Yusuf |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:13:32Z |
| format | Conference or Workshop Item |
| id | upm-47742 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:13:32Z |
| publishDate | 2011 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Waziri, Mohammed Yusuf Leong, Wah June Abu Hassan, Malik Monsi, Mansor Two-step diagonal Newton method for large-scale systems of nonlinear equations |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/47742/ http://psasir.upm.edu.my/id/eprint/47742/ http://psasir.upm.edu.my/id/eprint/47742/1/Two-step%20diagonal%20Newton%20method%20for%20large-scale%20systems%20of%20nonlinear%20equations.pdf |