A new Newton homotopy based method for the robust determination of all the stationary points of the tangent plane distance function

▸ A new Newton homotopy based method is presented. ▸ The method is equipped with the features of homotopy parameter and variables bounding. ▸ The method is able to determine robustly all the stationary points of TPDF problem. ▸ The method is a robust computational tool for solving phase stability.