2-齐次多项式系统的结式消元

2-齐次多项式系统的结式消元

丁琦

吉林大学数学研究所, 长春 130012

收稿日期:2007-03-09 修回日期:1900-01-01 出版日期:2007-05-26 发布日期:2007-05-26
通讯作者: 丁琦

Resultant Elimination for 2Homogeneous Polynomial Systems

DING Qi

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2007-03-09 Revised:1900-01-01 Online:2007-05-26 Published:2007-05-26
Contact: DING Qi

摘要/Abstract

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{f1,…, f_k}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

Abstract: Resultant methods were used to solve a 2homogeneous polynomial system {f1,…, f_k} 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.

Key words: 2-homogeneous, resultant, Gaussian elimination

中图分类号:

O151.1

丁琦. 2-齐次多项式系统的结式消元[J]. J4, 2007, 45(03): 374-376.

DING Qi. Resultant Elimination for 2Homogeneous Polynomial Systems[J]. J4, 2007, 45(03): 374-376.