用吉文斯变换法解求直接线性变换问题

USING GIVENS TRANSFORMATIONS TO SOLVE DIRECT LINEAR TRANSFORMATION PROBLEM

用吉文斯变换法解算误差方程的结果与用最小二法解算的结果是一致的。用吉文斯变换法解算误差方程时,不用组法方程,不用专门计算残差平方和V^TV,并且可以灵活地进行增删误差方程的运算。本文描述了用吉文斯变换法解求直接线性变换问题的方法以及剔除粗差的方法。

The result iS unanimity to solve error equations using Givens Transformations and using the least square method. When Givens Transformations are used, the normal equations need not be formed and the residual error square need not be specially calculated either. Especially, it is particularly convenient for Givens Transformations to be used to make calculations about adding or deleting error equations. In this paper, the mehod of rejecting gross error as well as the usage of Givens Transformations to solve Direct Linear Transformation problem are described.