摘要
通过分析多项式互质性的判定定理,把多项式的结式理论引入到多元非线性方程组的解法中,得到一种系统的方法可以确定多元非线性方程组的所有解。这种方法比传统的数值迭代法更具优越性,最后给出具体的实例验证了该算法是有效的。
In this paper, the resultant theory is introduced to solve multivariable nonlinear equations through the analysis of coprime polynomials. The resultant theory provides a systematic way to determine all the roots of the set of equations. This way has more advantage than the traditional numerical interactive algorithm. The given example demonstrates this algorithm is more effective at the end of this paper.
出处
《河北理工学院学报》
2006年第2期58-62,共5页
Journal of Hebei Institute of Technology
关键词
多项式
互质定理
结式
零点
多元非线性方程组
polynomial
coprime theory
resultant
zeros
muhivariable nonlineare equations