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为进行观测数据误差较大的地球物理资料的反演，引人抗差估计，称作地球物理抗差估计；为使病态方程组的反演解更可靠，又结合广义逆方法进行了算法改进．首先介绍抗差最小二乘（ＲＬＳ）的基本原理，然后推寻出适于广义逆反演方法的改进算式，最后举例加以讨论．分析表明，抗差估计可以有效地抑制地球物理观测异常的影响，得出正常模式下的较好估计值；而用改进后的算式和广义逆反演可以使反演解更加改善，不仅如此，改进后的方法还能直接给出解估计的可靠性评价．
In order to invert the geophysical data with large error of observed data, the introduction of anti-error estimate is called as geophysical anti-error estimation. In order to make the inversion equation of the ill-conditioned equations more reliable, the algorithm is improved by the generalized inverse method . First of all, the basic principle of robust least squares (RLS) is introduced. Then an improved algorithm suitable for general inverse inversion is deduced. Finally, an example is given to discuss it. The analysis shows that robust estimation can effectively restrain the influence of geophysical anomalies and obtain the better estimate in normal mode. However, the improved algorithm and generalized inverse inversion can make the inversion more improved. In addition, The improved method also gives a direct evaluation of the reliability of the solution.