| 五次方程的求根公式及其收敛性 |
| |
| 引用本文： | 王玉敏.五次方程的求根公式及其收敛性[J].曲阜师范大学学报,2006,32(3):52-56. |
| |
| 作者姓名： | 王玉敏 |
| |
| 作者单位： | 青岛理工大学理学院,山东省青岛市266033 |
| |
| 摘 要： | 借助于五次方程中的五次方项确定的预解方程，证明了一元五次方程根的级数形式的计算公式，分析了迭代算法的三阶收敛性，建立了求高次方程根的一个新方法．
|
| 关 键 词： | 五次方程 方程根 特征方程 收敛性 |
| 文章编号： | 1001-5337（2006）07-0052-05 |
| 收稿时间： | 2006-01-16 |
| 修稿时间： | 2006-01-16 |
Calculating Formulas and Convergence of Roots for Equation of 5-th Order |
| |
| WANG Yu-min.Calculating Formulas and Convergence of Roots for Equation of 5-th Order[J].Journal of Qufu Normal University(Natural Science),2006,32(3):52-56. |
| |
| Authors: | WANG Yu-min |
| |
| Institution: | Qingdao Technological University, 266033, Qingdao, Shandong, PRC |
| |
| Abstract: | With the help of resolvent equation, the calculating formulas of roots for equation of 5-th order are obtained, the third-order convergence of the iteration algorithm is given. A new calculating methods of roots for equations of higher order are established. |
| |
| Keywords: | equation of 5-th order roots of equation resolvent equation convergence |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
