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含参无导数有记忆迭代方法与其动力系统的构造

王婷 唐烁

王婷, 唐烁. 含参无导数有记忆迭代方法与其动力系统的构造[J]. 应用数学和力学, 2017, 38(12): 1342-1358. doi: 10.21656/1000-0887.370350
引用本文: 王婷, 唐烁. 含参无导数有记忆迭代方法与其动力系统的构造[J]. 应用数学和力学, 2017, 38(12): 1342-1358. doi: 10.21656/1000-0887.370350
WANG Ting, TANG Shuo. Construction of a Parametric Derivative-Free Iterative Method With Memory for Dynamic System Analysis[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1342-1358. doi: 10.21656/1000-0887.370350
Citation: WANG Ting, TANG Shuo. Construction of a Parametric Derivative-Free Iterative Method With Memory for Dynamic System Analysis[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1342-1358. doi: 10.21656/1000-0887.370350

含参无导数有记忆迭代方法与其动力系统的构造

doi: 10.21656/1000-0887.370350
基金项目: 国家自然科学基金(61272024)
详细信息
    作者简介:

    王婷(1991—),女,硕士(通讯作者. E-mail: 503669777@qq.com);唐烁(1964—),男,教授,硕士生导师.

  • 中图分类号: O241.7

Construction of a Parametric Derivative-Free Iterative Method With Memory for Dynamic System Analysis

Funds: The National Natural Science Foundation of China(61272024)
  • 摘要: 借鉴含导数两步迭代格式转化成不含导数两步迭代格式的思想,提出了一种更通用的两步无导数迭代格式,通过权值保证了两步无导迭代格式达到最优阶;利用自加速参数和Newton(牛顿)插值多项式得到了两参和三参有记忆迭代格式,并与已有的两参和三参有记忆迭代格式进行比较;给出了几个格式的吸引域,比较了几个迭代格式的性能.
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出版历程
  • 收稿日期:  2016-11-14
  • 修回日期:  2017-10-16
  • 刊出日期:  2017-12-15

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