根轨迹法解高阶代数方程 (3-5 阶方程的解)

本文采用根轨迹法解高阶代数方程。其基本思想是沿着相应的开环极点和根轨迹走向用迭代法求出部分根,从而降低方程阶次。方法本身对方程性态不提出任何要求,对重根和复根不需作专门处理,是一种比较简便而实用的方法。

The Solution of High Order Algebraic Equations by Using the Root Locus Approach

This paper introduces the solution of high order algebraic equations by using the root locus method. The main idea of this paper is to reduce the order of the equation by first finding some roots through using the iterative process which starts from the corresponding open-loop poles and then continues along the root locus. This method imposes no restraint upon the characteristics of the equations to be solved and needs no special treatment with equal and complex roots. SO this method is a comparatively simple and practical one.