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一个自动调节参数3阶收敛的抛物线法公式

A Third-order Parabola Method Formula with Auto-tuning Parameter
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摘要 提出了一个自动调节参数、3阶收敛的抛物线法公式,其每步迭代只需计算2个函数值,避免了导数值的计算.数值实验表明,该方法与具有同阶收敛性质的算法相比效率更高. This paper presents a parabola method formula with auto-tuning parameter for solving nonlinear equations, the method avoids calculating derivative, and has third-order convergence. Numerical examples show that our method can com- pete with the other third-order methods.
作者 杨明波 郑祥祺
机构地区 河南师范大学数学与信息科学学院 北京师范大学数学科学学院
出处 《河南师范大学学报（自然科学版）》 CAS 北大核心 2013年第4期13-15,共3页 Journal of Henan Normal University(Natural Science Edition)
基金 河南省精品课程项目资助 河南省基础与前沿技术研究计划项目(132300410285)
关键词 非线性方程 迭代方法 收敛阶 自动调节 nonlinear equation iterative methods convergence of order auto-tuning
分类号 O241.7 [理学—计算数学]
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参考文献11

  • 1杨明波.具有参数超平方收敛的抛物线法公式类[J].河南师范大学学报（自然科学版）,2011,39(5):16-19. 被引量：1
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二级参考文献22

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共引文献1

河南师范大学学报（自然科学版）
2013年 第4期

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