同时求解多项式所有零点的改进Halley法  

Modified Halley Iteration Method for Simultaneously Finding Polynomial Zeros

作　　者：黄清龙[1] 

机构地区：[1]江苏工业学院数理学院,江苏常州213164

出　　处：《江苏工业学院学报》2009年第1期73-75,共3页Journal of Jiangsu Polytechnic University

摘　　要：讨论一个同时求解多项式所有零点的改进的Halley迭代法。证明了新方法的收敛性,获得了更高的收敛速度,效率分析表明改进后的方法更有效,而且数值例子的结果是满意的。A modified parallel Halley iteration method for simultaneously finding polynomial zeros is discussed. The convergence and the convergence rate with high order are obtained. The efficiency analysis shows that the modified method constructed in this paper is more efficient than the old one. Numerical results are satisfactory.

关 键 词：多项式零点 并行Halley迭代法 收敛性 效率 

分 类 号：O241[理学—计算数学]