应用Groebner基方法求解代数方程组的解  

Solving the Algebraic Equations by Applying the Groebner Basis Method

作　　者：齐紫微[1] 

机构地区：[1]装甲兵工程学院基础部 北京100072

出　　处：《装甲兵工程学院学报》2007年第4期90-91,共2页Journal of Academy of Armored Force Engineering

摘　　要：在字典序下计算方程组的多项式生成的理想的Groebner基G,根据Groebner基G中单变元多项式的解,依次递推求出多项式方程组的解。通过求解多项式函数条件极值问题的一般步骤和具体实例说明该方法的计算过程。The equations ideal Groebner Basis G, created by polynomials, could be calculated under the lexicographic order. By solving the single variable polynomials in the Groebner Basis G, solution of polynomial equations could be deducted successively. This paper illustrates the calculation process of this method through the general procedures and examples in solving questions of conditional extremum of polynomial function.

关 键 词：GROEBNER基 多项式方程组 条件极值 

分 类 号：O24[理学—计算数学] O13[理学—数学]