Solving the LICA Problem by a Potential Function Method

• 1、Info-physics Geomatics Engineering College.CSU

Abstract：In survey data processing, sometimes there is prior information that can be used. This prior information can be expressed by equality or inequality constraints on the parameters. The equality-constrained adjustment theory has been maturated and comprehended, so if the constraints are equality the problem can be solved by the equality-constrained indirect adjustment theory. However, if the constraints are linear inequality, the problem become linear inequality constrained adjustment (LICA) and the computation will be very difficult. Frisch(1955) and Carroll(1961) proposed that penalty function which transformed constrained-unequation into unstrained function obtain good result, but the Hessian matrix will be sick and the convergence speed will be slow with the penalty factorial\

Keywords： potential function LICA least-square adjustment explicit expression