Formulation of the nonlinear inverse problem

Considci a general nonlinear inverse problem for anomalous electric or magnetic fields  

The nonlinearity of the operators Ae,h (r Act) with respect to the anomalous conductivity Act comes from the fact that the anomalous electric field E is also a function of Act. 

According to the conventional Tikhonov regularization method, we substitute for the solution of the inverse problems (10.49) or (10.50) a minimization of the corresponding parametric functional with, for example, minimum norm stabilizer  

The minimization problem (10.52) can be solved by the conjugate gradient or re-weighted conjugate gradient methods introduced in Chapter 5. 

Let us describe, for example, the algorithm based on the regularized conjugate gradient method (5.92), which we reproduce here with small modifications  

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