机构学中初始方程组的自动生成

Automatic Generation of Polynomial start System of Equations in Mechanism

提出与齐次理论［１］相匹配的初始方程组的一般表达式，并给出计算机进行变元分组、自动生成初始方程组和确定初始解的算法。这为构造实数同伦法（笔者另文论述）、求解机构学多解问题奠定了基础。

In this paper, a general expression of polynomial start system of equations that suits well to multihomogeneous theory of paper is suggested, and some algorithms to divide the variables into several groups, to generate palynomial start system of equations, and to determine start solution of a polynomial start system of equations are also put forward. All this has laid a foundation for constructing the real number homotopy method,which can be used to locate all real solutions of a polynomial systems by homotopy method in real domain,and for solving multiple solution problems in mechanisms.