目前地球物理反演中应用最广泛、最重要的一类反演方法就是广义反演。由于地球物理反演中的数据量大、模型参数多,所以在对一个反演问题建立模型方程后就要寻求一种合适高效的算法来处理它。本文首先介绍现有几种迭代求逆的方法,然后通过Matlab设计的大型高条件数矩阵,比较了共轭梯度法以及两种基于预条件算子的迭代算法,结果表明共轭梯度法迭代方法对于条件数巨大的矩阵解算效率很低,而基于预条件算子的迭代算法具有明显的优势。 At present, the most widely used and most important inversion method in geophysical inversion is generalized inversion. Due to the large amount of data in geophysical inversion and the large number of model parameters, it is necessary to find a suitable and efficient algorithm to deal with it after establishing a model equation for an inversion problem. In this paper, we firstly introduce several methods of iterative inversion, then compare the conjugate gradient method and two iterative algorithms based on the preconditioned operator by the large-scale high-matrices matrix designed by Matlab. The results show that the conjugate gradient method The efficiency of solving matrices with huge number of conditions is low, while the iterative algorithm based on preconditioned operator has obvious advantages.