坐标基准转换中病态方程的处理方法

Processing Methods of the Ill-conditioned Equation in the Coordinate Datum Transformation

针对坐标基准转换中的病态方程问题,提出中心化解法。该法通过将源坐标中心化,实现了误差方程系数矩阵元素的离散化、法方程系数阵的对角化,有效避免了病态方程问题,参数的求解精度较传统算法显著提高。同时指出,坐标基准转换中,传统方法和中心化方法使用的效果一致。

For the problem of the ill-conditioned equation in the coordinate datum transformation,advances one method that makes the coordinates become centralization coordinates.By centralization coordinates,the elements in the error equation coefficient matrix be-come discretization and the normal equation coefficient matrix becomes diagonalization,the ill-conditioned equation problem is avoi-ded effectively,and the estimating accuracy of the parameters is improved significantly compared with the traditional method.Howev-er,it is also pointed out that the effect of the traditional method and the centralized method is indeed consistent.