Many questions in natural science and engineering are transformed into nonlinear equations to be found

Newton iterative method is an important technique to one dimensional and multidimensional variables and iterative process exhibits sensitive dependence on initial guess point. For the first time

a new method to find all solutions based on utilizing chaos mapping xn+1=sin（2/xn） to obtain locate initial points to find all solutions of the nonlinear questions is proposed. The numerical examples in linkage synthesis show that the method is effective.