For the first time,a new method to find all solutions based on utilizing chaos mapping xn+1=cos(2/xn)to obtain locate initial points for finding all solutions of the nonlinear questions is proposed.

• 运用混沌映射xn+1=cos(2/xn)产生初始点,首次提出了基于混沌映射的牛顿迭代法求解非线性方程组的新方法。