This paper proposes an iterative method fit for finding complex roots of polynomials with real coefficients, and carries on the analysis for its convergence, and shows some actual examples. This method and the tangent Newton method together construct the basic idea to find approximate roots of an algebraic equation in the complex number field, and it can take the place of the tangent Newton method when the later is failed. Its convergence order is 3 ,which is greater than 2,one of the tangent Newton method. Specially,it can calculate all real and complex roots of the not multi-step compared wi...
