3D electromagnetic inversion using conjugate gradients

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 a...

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Bibliographic Details
Published in:IGARSS'97. 1997 IEEE International Geoscience and Remote Sensing Symposium Proceedings. Remote Sensing - A Scientific Vision for Sustainable Development Vol. 2; pp. 933 - 937 vol.2
Main Authors: Newman, G.A., Alumbaugh, D.L.
Format: Conference Proceeding
Language:English
Published: IEEE 1997
Subjects:
Character generation
Conductivity
Geology
Image reconstruction
Inverse problems
Iterative methods
Laplace equations
Large-scale systems
Least squares methods
Predictive models
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Summary: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.
ISBN:0780338367
9780780338364
DOI:10.1109/IGARSS.1997.615302