| 牛顿迭代法在弱条件下的二阶收敛性和比值收敛因子 |
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| 引用本文： | 郑权.牛顿迭代法在弱条件下的二阶收敛性和比值收敛因子[J].北方工业大学学报,2003,15(1):26-29. |
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| 作者姓名： | 郑权 |
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| 作者单位： | 北方工业大学理学院,100041,北京石景山 |
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| 基金项目： | 北京市教委科技发展计划项目;KM200310009032; |
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| 摘 要： | 研究求解非线性方程的牛顿迭代法的二阶收敛性和比值收敛因子（Q－因子），证明在弱条件下的二阶收敛性仍然成立，得到或估计比值收敛因子，并且做出有关的数值实验。
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| 关 键 词： | 弱条件 非线性方程 牛顿迭代法 二阶收敛性 比值收敛因子 |
| 修稿时间： | 2002年10月23日 |
Quadratic Convergence and Convergence Ratio Factor of Newton's Iteration Method Under Weak Conditions |
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| Zheng Quan.Quadratic Convergence and Convergence Ratio Factor of Newton''''s Iteration Method Under Weak Conditions[J].Journal of North China University of Technology,2003,15(1):26-29. |
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| Authors: | Zheng Quan |
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| Abstract: | The quadratic convergence and the Q factor of Newton iteration method for solving nonlinear equations are discussed in this paper. It is proved that the quadratic convergence holds under weak conditions. The Q factor is obtained and estimated, and some relevant numerical experiments are accomplished. |
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| Keywords: | nonlinear equation Newton's iteration method quadratic convergence convergence ratio factor |
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