Iterative reconstruction algorithm for non‐linear operators

the goal of geophysical inversion is to recover a model (or suite of models) from some set of observations d. It is often the case that the inverse problem of equation 1 is ill-posed, and solutions must be regularized. Additionally, the data image d is usually contaminated by noise. To overcome these difficulties, the inverse problem is formulated as an optimization problem in which an estimate mrec of the true model m is obtained by minimizing the penalty function