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.
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邵秀明.根轨迹法解高阶代数方程 (3-5 阶方程的解)[J].国防科技大学学报,1982,(3):113-127. Shao Xiuming. The Solution of High Order Algebraic Equations by Using the Root Locus Approach 复制