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四步八阶迭代法解非线性方程组
  • ISSN号：1003-5060
  • 期刊名称：《合肥工业大学学报：自然科学版》
  • 时间：0
  • 分类：O241.7[理学—计算数学;理学—数学]
  • 作者机构：[1]合肥工业大学数学学院,安徽合肥230009
  • 相关基金：国家自然科学基金资助项目（61070227）;国家自然科学基金-广东联合基金重点资助项目（U1135003）
作者： 朱小飞[1], 檀结庆[1], 张旭[1]
关键词： 非线性方程组, 牛顿迭代, 收敛阶, system of nonlinear equations, Newton＇s method, convergence order
中文摘要：

文章给出了3种新的解非线性方程组的迭代方法,并证明了它们具有八阶收敛性,最后通过给出的数值实例,将现有的几种迭代方法和3种新方法作了分析比较,表明了该方法具有较好的优越性。

英文摘要：

In this paper,three new four-step iterative methods for solving the system of nonlinear equations using quadrature formulas are presented and analyzed.It is proved that these new methods are of the convergence of eighth order.Some numerical examples are given to show that the new methods outperform the other existing methods.

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期刊信息
  • 《合肥工业大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:合肥工业大学
  • 主编：何晓雄
  • 地址：合肥市屯溪路193号
  • 邮编：230009
  • 邮箱：XBZK@hfut.edu.cn
  • 电话：0551-2905639
  • 国际标准刊号：ISSN：1003-5060
  • 国内统一刊号：ISSN：34-1083/N
  • 邮发代号:26-61
  • 获奖情况:
  • 1999中国优秀高校自然科学学报,1997华东地区优秀期刊,1998安徽省优秀科技期刊,中国期刊方阵“双效”期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:19655