Iterative Method for Total Least-Squares

The conventional solution method for TLS is based on matrix singular value decomposition.This method is rigorous in theory,but is complex and not easy to be programed.The complexity of the method is an important reason restricting TLS application in the field of Geomatics.By introducing the total least-squares adjustment standard,we derive the total least-squares iterative method,which is simple and easy to be programed.Through the introduction of multi-function derivative knowledge of the implicit function to determine the linear information of the parameters to observational data,we solve the problem of assessing the accuracy based on TLS.Finally,we apply the new method to the fitting function determination and coordinate transformation parameters determination based on measured data,and verify the feasibilities of the new method.The new method has a great significance to the popularization and application of TLS.