绝对值极小平差法的研究

在实际观测误差中,有时存在少量的粗差.此时,最小二乘法的平差结果往往会受到严重歪曲和影响,而绝对值极小平差法同最小二乘法相比较,有较好的抗粗差能力.本文主要介绍了绝对值极小平差法所采用的数学模型、解的不唯一性以及该方法在抗粗差能力方面同最小二乘法的比较结果.

Research of Adjustment by the Method of Least Absolute Deviation

In the actual observation of the errors,small rough errors sometimes occur,which seriously distortes or badly influenced the results of the least-square method.However,compared to the least square method,adjustment by the method of least absolute deviation is less affected by rough errors.In this paper,the mathematic model of the adjustment by the method of least absolute deviation,the un-uniqueness of solution,and the comparison of the abilities for adjustment by the method of least absolute deviation and least square method to be resistant to rough errors will be presented.