| 解代数方程时Halley迭代法的收敛性 |
| |
| 引用本文： | 黄清龙.解代数方程时Halley迭代法的收敛性[J].江苏石油化工学院学报,2010(1):69-71. |
| |
| 作者姓名： | 黄清龙 |
| |
| 作者单位： | 江苏工业学院数理学院,江苏常州213164 |
| |
| 摘 要： | 讨论同时求解代数方程所有单根时Halley迭代法的收敛性,给出了保证其收敛的初值应满足的一个充分条件,使Halley迭代法的收敛性获得新的表述和证明。
|
| 关 键 词： | 代数方程 Halley迭代法 初值 收敛性 |
Convergence of Halley Iteration Method for Algebraic Equation |
| |
| HUANG Qing-long.Convergence of Halley Iteration Method for Algebraic Equation[J].Journal of Jiangsu Institute of Petrochemical Technology,2010(1):69-71. |
| |
| Authors: | HUANG Qing-long |
| |
| Affiliation: | HUANG Qing-long (School of Mathematics and Physics,Jiangsu Polytechnic University,Changzhou,213164,China) |
| |
| Abstract: | The convergence of Halley iteration method for algebraic equation is discussed in this paper.A sufficient condition the starting values should satisfy for the convergence of the method is given.A new convergence theorem is obtained and new proof of the convergence is given. |
| |
| Keywords: | algebraic equation Halley iterative method starting values convergence |
| 本文献已被 CNKI 维普 等数据库收录！ |
