| 2-齐次多项式系统的结式消元 |
| |
| 引用本文： | 丁琦. 2-齐次多项式系统的结式消元[J]. 吉林大学学报(理学版), 2007, 45(3): 374-376 |
| |
| 作者姓名： | 丁琦 |
| |
| 作者单位： | 吉林大学,数学研究所,长春,130012 |
| |
| 摘 要： | 运用结式理论, 研究在代数闭域上有有限个零点(包括无穷远零点)的2 齐次多项式系统{f1,…, fk}的求解, 给出一种结式消元算法, 此算法可使上述系统分块三角化, 从而实现了分块求解.
|
| 关 键 词： | 2-齐次 结式 高斯消元 |
| 文章编号： | 1671-5489(2007)03-0374-03 |
| 收稿时间： | 2007-03-09 |
| 修稿时间： | 2007-03-09 |
Resultant Elimination for 2-Homogeneous Polynomial Systems |
| |
| DING Qi. Resultant Elimination for 2-Homogeneous Polynomial Systems[J]. Journal of Jilin University: Sci Ed, 2007, 45(3): 374-376 |
| |
| Authors: | DING Qi |
| |
| Affiliation: | Institute of Mathematics, Jilin University, Changchun 130012, China |
| |
| Abstract: | Resultant methods were used to solve a 2 homogeneous polynomial system {f1,…, fk} which have finite common zeros (including the zeros at infinity) in algebraically closed field. We presented a resultant elimination algorithm which can block triangularize the system and then block solve it. |
| |
| Keywords: | 2-homogeneous resultant Gaussian elimination |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《吉林大学学报(理学版)》下载全文 |
|
