Nonlinear Least Squares Adjustment Based on Homotopy Functions and Filled Functions

The method combining homotopy functions with filled functions to solve nonlinear least squares adjustment is presented.We first solve the well-posed nonlinear equations with homotopy method to obtain local optimal solutions,and reasonable filled functions are generated according to the local optimal solutions.It obtains better local optimal solutions than current solutions by the filled functions.Then,the homotopy functions and filled functions will be restructured.Finally,we can find the optimal solutions by limited loop-iteration method.The results show that the method can find optimal solutions effectively.