关于频率电磁测深几个问题的探讨(七)——解析广义逆矩阵反演法

从目标函数的线性化出发，采用奇异值分解法求广义逆矩阵并适当加阻尼，用迭代法直接解超定方程实现改进广义逆矩阵反演。进一步从理论与实际结合上阐明改进广义逆矩阵反演法的灵活、稳定，它涵盖了多种反演方法的优点，又具有自身特点，在实际应中适应性强，并能提供一些辅助信息，可更好地评价解释结果。 

Analysis of generalized inverse matrix inversion

In this paper, from a linear objective function, using the singular value decomposition method to calculate generalized inverse matrix and add appropriate damping, using iterative method for solving overdetermined equations directly, the improvement of generalized inverse matrix inversion is realized. Further from the combination of theory and practice it is clarified that the generalized inverse matrix inversion method is flexible and stable, it covers the advantages of multiple inversion method, but also has its own characteristics, in fact adaptability is strong; it can provide some auxiliary information, can better evaluate interpretation results.