计算代数方程组流形解的特征值方法

The Eigenvalue Method to Compute The Manifold Solution of Algebraic Equation System

本文研究如何运用特征值方法计算代数方程组的流形解,结果表明利用特征值方法能计算多项式方程组解集的不可约分支的一般点,从而特征值方法是求解代数方程组的整体解法。

In this paper we discuss how to use eigenvalue method to compute solution manifold of multipolynomial system.We show that, we ran compute generic points of irreducible component of set of zero points of multipolynomial systen.This approach will richen and develop the theory of eigenvalue method.