研究了部分参数带有非负约束的平差模型,提出了一种新的处理部分参数附有非负约束的平差方法。该方法是先将非负约束的最小二乘问题转换成凸二次规划问题,然后求其最优解。通过模拟实例说明,此算法可以很好地应用于实际测量中的平差计算。
A new algorithm for adjustment model with some nonnegative constrained parameters is suggested. In this algorithm, nonnegative constrained least-square problems are first transformed to convex quadratic programming problems, and then the programming problems are solved for the optimal solutions. The are necessary and sufficient conditions on the solvability for optimization solution are given, consequently the general form of least-squares estimation in adjustment model is given, as well as algorithm that are simple and easy to understand. A comparative calculation on a simulation example indicates that this algorithm can be applied to adjustment computation in the practical measurement.