利用共轭梯度进行三维电磁反演

遥感信息 Pub Date : 1997-08-03 DOI:10.1109/IGARSS.1997.615302

G. A. Newman, D. Alumbaugh

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引用次数: 0

摘要

在大规模三维电磁反演问题中，直接反演包含模型灵敏度元素的完整最小二乘系统矩阵是不可能的。因此，必须采用迭代方法。对于反问题，作者倾向于线性或非线性(NL) CG方案，这取决于应用。在NL CG方案中，每个松弛步骤都需要目标函数的梯度以及确定最优模型更新所需的单变量线搜索。给出了基于这两种方法的解决方案示例。

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3D electromagnetic inversion using conjugate gradients

In large scale 3D EM inverse problems it may not be possible to directly invert a full least-squares system matrix involving model sensitivity elements. Thus iterative methods must be employed. For the inverse problem, the authors favor either a linear or nonlinear (NL) CG scheme, depending on the application. In a NL CG scheme, the gradient of the objective function is required at each relaxation step along with a univariate line search needed to determine the optimum model update. Solution examples based on both approaches are presented.

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来源期刊

遥感信息

自引率

0.00%

发文量

3984

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