期刊文献+

求解非线性方程的修正斯蒂芬森方法

A Modified Steffensen Method for Solving Nonlinear Equations
在线阅读 下载PDF
导出
摘要 提出了一种求解非线性方程的三阶收敛的修正斯蒂芬森方法.新的迭代公式每步仅需计算三次函数值,数值实验表明算法是有效的. A three-order convergent method formed by modified Steffensen method is presented. The new iteration formula requires three evaluations of the function. that the method is efficient. for solving nonlinear equations Numerical experiments show
出处 《兰州工业高等专科学校学报》 2012年第3期54-56,共3页 Journal of Lanzhou Higher Polytechnical College
基金 国家自然科学基金项目(51104128)
关键词 非线性方程 修正的斯蒂芬森方法 三阶收敛 数值实验 Nonlinear equation modified steffensen method three-order convergence numerical experiment
  • 相关文献

参考文献16

  • 1I F Steffensen. Remarks on iteration [ J ]. Skand. Ak- tuarietidskr,1933, 16:64-72.
  • 2J R Sharma. A composite third order Newton-Steffensen method for solving nonlinear equations [ J ]. Appl. Math. Comput. , 2005, 169 : 242-246.
  • 3M V Kanwar, V K Kukreja, S Singh. On a class of quadratically convergent iteration formulae [ J ]. Appl. Math. Comput. , 2005, 166: 633-637.
  • 4Nenad Ujevic. A method for solving nonlinear equations [J]. Appl. Math. Comput., 2006,174: 1416-1426.
  • 5Nenad Ujevic. An iterative method for solving nonlinear equations [J]. J. Comput. And Appl. Math., 2007, 201 : 205-216.
  • 6Muhammad Aslam Noor, Faizan Ahmad. Fourth-order convergent iterative method for nonlinear equation [ J ]. Appl. Math. Comput. , 2006, 182: 1000-1004.
  • 7Emin Kahya, Jinhai Chen. A modified Secant method for unconstrained optimization [J]. Appl. Math. Com- put. , 2007, 186: 1149-1153.
  • 8Jinhai Chen, Some new iterative methods with three-or- der convergence [J]. Appl. Math. Comput. 2006, 181 : 1519-1522.
  • 9Muhammad Aslam Noor, Khalida Inayat Noor, Waseem Asghar Khan, Faizan Ahmad. On iterative methods for nonlinear equations [ J ]. Appl. Math. Comput. , 2006, 183 : 128-133.
  • 10杨金云.具有时滞的二阶微分方程边值问题解的存在性[J].徐州工程学院学报(自然科学版),2011,26(4):31-34. 被引量:2

二级参考文献22

共引文献80

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部