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Third order iterative methods free from second derivative for nonlinear systems
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PRE
AI
DOI：10.1016/j.amc.2009.04.046.png)
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摘要
En 中文
In this work we present a family of predictor-corrector methods free from second derivative for solving nonlinear systems. We prove that the methods of this family are of third order convergence. We also perform numerical tests that allow us to compare these methods with Newton's method. In addition, the numerical examples improve theoretical results, showing super cubic convergence for some methods of this family. (C) 2009 Elsevier Inc. All rights reserved.
Keyword:
Newton's method
Predictor-corrector method
Convergence order
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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