有向图在求解大型非线性方程组中的应用

Application of Directed Graph on Calculating the Groups of Large Di mension Non-linear Equation

为了提高大维数非线性方程组的求解品质,该文提出了有向图法,将参数关系转化为有向图,利用有向图求圈算法来精简迭代参数,从而提高计算速度,降低算法发散的可能性。这种方法适用于求解工程化的大维数非线性方程组,可以用计算机自动实现。

In order to improve the solution quality of high-dimension non-linear equation group,a method of directed graph is proposed.It describes the relation of parameter into directed graph and finds circles in the directed graph.And then it can simplify the iterated parameters in calculating equation group.The progress improves calculating rate and re-duces possibility of divergence in calculating.It is a preferable method in calculating large engineering non-linear equa-tion group.