中文摘要：

对不等式约束最小二乘平差问题，借助非线性规划中的凝聚约束方法把多个不等式约束转化为一个等式约束，采用拉格朗日极值法求解，解与贝叶斯解或单纯形解一致。其优点在于该解能够表示为观测的明显表达式，由此解的统计性质与最优性可以确定。给出演示该方法的GPS单点定位算例。

英文摘要：

To the inequality constrained least squares adjustment problem, this paper converts many inequality constraints into one equality constraint by using aggregate function of non-linear programming; a basic augmented Lagrangean algorithm can obtain the solutions for equality constrained non-linear programming problem and the solutions are identical to those obtained by the Bayesian method and/or simplex algorithm. The new approach features the advantage that the solutions are the explicit expression of observations, and thus the statistical properties can be easily determined and the general conclusions about the superiority of the estimator can be made. A numerical example on GPS point positioning is given to show the interesting method.