The Newton method has been widely used for solving nonlinear least-squares problem. In geodetic adjustment, one would prefer to use the Gauss–Newton method because of the parallel with linear least-squares problem. However, it is proved in theory as well as in practice that the Gauss–Newton method has slow convergence rate and low success rate. In this paper, the over-determined pseudo-distance equations are solved by nonlinear methods.
Xue, S., Dang, Y., Yang, Y. A closed-form of Newton method for solving over-determined pseudo-distance equations. Springer Berlin Heidelberg, 2014 с.441-448,.
Xue, S., Dang, Y., Yang, Y. A closed-form of Newton method for solving over-determined pseudo-distance equations. Springer Berlin Heidelberg, 2014 с.441-448,.
Xue, S., Dang, Y., Yang, Y. (2014) A closed-form of Newton method for solving over-determined pseudo-distance equations, Springer Berlin Heidelberg с.441-448,.
Xue, S., Dang, Y., & Yang, Y. (2014). A closed-form of Newton method for solving over-determined pseudo-distance equations. Springer Berlin Heidelberg, с.441-448.
Xue S, Dang Y, Yang Y. A closed-form of Newton method for solving over-determined pseudo-distance equations. Springer Berlin Heidelberg; 2014. p. с.441-448.
