A variant of Newtons irrational method

摘要：

We present a new variant of Newtons irrational method. The new method requires an additional evaluation of the function at another point, but the order of convergence is increased from three for the old method to five for the new method. The efficiency indexes is higher than the ones of Newtons irrational method and Newtons method.Numerical results show the new method works better than Newtons irrational method. Finally, based on the new method, a new multistep iteration scheme is developed.

关键词： Newtons irrational method Newtons method Non-linear equations Root-finding Iterative method

作者: Xiuhua Wang Chuanqing Gu Jisheng Kou

作者单位: Department of Mathematics, Shanghai University, Shanghai 200444, China Department of Mathematics, Xi Department of Mathematics, Shanghai University, Shanghai 200444, China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1102-1105

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）