2-齐次多项式系统的结式消元

Resultant Elimination for 2-Homogeneous Polynomial Systems

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.

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.