解仿射多项式系统的结式消元法  

The Resultant Elimination Mothod for Solving Affine Polynomials System

作　　者：罗洪勇[1,2] 刘卫江[1,2] 

机构地区：[1]吉林大学数学研究所 [2]锦州师范学院信息技术系

出　　处：《吉林大学自然科学学报》1998年第4期23-27,共5页Acta Scientiarum Naturalium Universitatis Jilinensis

基　　金：国家攀登计划资助课题

摘　　要：在仿射变换下给出一种结式消元法的充要条件，并由此给出解仿射多项式系统的变换消元法．利用变换消元法可以把代数簇分解成纯ｄ维的子簇，并把代数簇表示为ｄ＋１维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解。The present paper presents the necessary and sufficient condition of the resultant elimination method under affine change, on the basis of which a substitution elimination method is given for solving affine polynomials system. Using the substitution elimination method affine algebraic variety can be resolved to pure d dimensional subvariety and expressed by an algebraic hypersurface on d+1 dimensional space with a sequence of elimination polynomial systems. All 0 dimensional solution can be found, too.

关 键 词：仿射多项式 结式消元法 多项式系统 代数簇 

分 类 号：O187.2[理学—数学]