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 ...

SIAM Journal on Numerical Analysis, Vol. 47, No. 3 (2009), pp. 1827-1846 (20 pages) We study the convergence of regularized Newton methods applied to nonlinear operator equations in Hilbert spaces if ...

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 ...