零维多项式系统保持重数的零点分解

ZERO DECOMPOSITION WITH MULTIPLICITY OF ZERO-DIMENSIONAL POLYNOMIAL SYSTEMS

对零维多项式系统,基于经典的吴方法给出了一个保持重数的零点分解定理及其算法.在一定条件下,该算法计算出的分解是三角化的.

This paper presents a zero decomposition theorem and algorithm based on Wu＇s method,which computes a zero decomposition with invarint multiplicity for a given zero-dimensional polynomial system.It is shown that the zero decomposition is of triangular form if the system satisfies some assumption.