论文信息 - ITERATIVE REGULARIZATION METHODS IN INVERSE SCATTERING

ITERATIVE REGULARIZATION METHODS IN INVERSE SCATTERING

The numerical performances of Landweber iteration, the Newton-CG method, the Levenberg-Marquardt algorithm, and the iteratively Regularized Gaus-Newton method are compared for a nonlinear, severely ill-posed inverse scattering problem in two space dimensions. A modification of the Gaus-Newton method is suggested, which compares favorably with the above methods. A convergence proof is presented including the effects of the numerical approximation of the solution operator.

Thorsten Hohage | T. Hohage

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