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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書誌詳細
主要な著者: Waziri, Mohammed Yusuf, Leong, Wah June, Abu Hassan, Malik, Monsi, Mansor
フォーマット: Conference or Workshop Item
言語:English
出版事項: IEEE 2011
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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要約: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.