Iterative regularization methods for nonlinear ill-posed equations of the form F(x) = y, where F : D(F) ⊂ X → Y is an operator between Hilbert spaces X and Y, usually involve calculation of the ...
A nonlinear least squares problem with nonlinear constraints may be ill posed or even rank-deficient in two ways. Considering the problem formulated as $\min_x\;1/2 ...
Partial differential equation based inverse problem such as image reconstruction in electrical impedance tomography (EIT) often lead to non-convex optimization problems. These problems are also ...