Abstract:Based on penalty function and weight of adjustment, an inequality constraints EIV (ICEIV) model is presented. The model utilizes penalty function to construct the constraint weight for the constraint equations and transforms the inequality constraint into the equality constraint by the zero or infinite weight. So, it can transform the inequality constraint adjustment criteria into the classical adjustment criteria. Therefore, a new iteration algorithm of total least squares with inequality constraints is deduced by the nonlinear least squares adjustment theory; the method uses a structured matrix to consider the repetitive elements and constant terms.