This article presents an analysis of computational efficiency to solve the inverse kinematics problem of anthropomorphic robots. Two approaches are investigated: the first approach uses Paul’s method applied to the matrix obtained by the Denavit–Hartenberg algorithm and the second approach uses Gröbner bases theory. With each approach, the problem of inverse kinematics for an anthropomorphic robot will be solved. When comparing each method, this article will demonstrate that the method using Gröbner bases theory is more computationally efficient.

中文翻译：

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基于Gröbner基理论的拟人化机器人逆运动学问题求解的计算效率分析

本文对计算效率进行了分析，以解决拟人化机器人的逆运动学问题。研究了两种方法：第一种方法是将Paul方法应用于通过Denavit-Hartenberg算法获得的矩阵，第二种方法是使用Gröbner基理论。通过每种方法，将解决拟人化机器人的逆运动学问题。当比较每种方法时，本文将证明使用Gröbner基理论的方法在计算上更有效。