Abstract: The paper put forward pseudo linear transformation method for solving nonlinear algebraic equations. Based on the new method, the paper discusses an inverse mapping of rational parameter surface, also, the implicit equation of the parametric equation is obtained. The presented method provides a new way for solving the problem involving nonlinear algebraic equation in many fields such as geometric theorem machine proven, CAD, forward and inverse kinematics of robots.

Key words: pseudo linear transformation method, implicit equation, rational parameter sueface

摘要： 本文作为非线性代数方程组消元的一种探索，提出了基于准线性的变换消元法。文中用该方法对基于有理参数曲面的逆映射进行了一些探讨，并得到参数曲面的隐式方程。所提出的准线性变换消元法可应用于涉及非线性代数方程组求解的几何定理机器证明、计算机辅助设计、机器人等多个领域，具有十分重要的理论意义与实用价值。

关键词: 准线性变换法, 隐函数方程, 有理参数曲面