基于改进高斯-牛顿法的位场向下延拓

本文针对位场向下延拓的不适定问题，在分析最优化算法中高斯-牛顿法基本原理及滤波函数滤波特性的基础之上，提出基于正则参数指数递增计算方法和残差最小步长准则的改进高斯-牛顿法。基于理论重力模型和航磁实测数据的对比实验表明，改进后得到的自适应迭代法具有相对较高的位场向下延拓精度和很好的收敛性。

A Modified Gauss-Newton Method for Downward Continuation of Potential Field

For the ill-posed problem of potential field downward continuation, this paper proposed a novel improved iterative method based on the analysis of the basic principle and the filter characteristic of the filter function of the Gauss-Newton iterative method. This novel improved method uses an incremental geometric regularization parameter adaptive choice method and the minimal residual criterion for the iterative step choice. The comparison analysis of gravity theoretical model and real geomagnetic data shows that the proposed iterative method has high downward continuation accuracy and good convergence.