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经典的共轭梯度迭代方法对线性反演问题是有效的。但是地球物理反演一般是非线性的，那未经典的方法得到的反演解法往往是无法控制的，又不能产生最大似然反演，更不会得到可重复的反演结果。本文提出了一种简明的反演算法，该算法在迭代过程中只需计算误差函数对各个反射系数变元的一阶梯度值，而无需进行复杂的矩阵运算和求逆，是一种简单明了且易于实现的快速算法。理论记录和实际记录处理表明，本文提供的方法具有可重复性和较快的收敛速度。
The classical conjugate gradient iterative method is effective for linear inversion. However, geophysical inversion is generally non-linear. Inverse methods that are not classical methods are often uncontrollable, can not produce maximum likelihood inversion, and can not obtain repeatable inversion results. In this paper, a concise inversion algorithm is proposed. It only needs to calculate the first-order gradient of the error function to each reflection coefficient variable in the iterative process without complex matrix operation and inversion. It is a simple and clear And easy to implement fast algorithm. Theoretical records and actual records show that the method provided in this paper has repeatability and fast convergence speed.