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 ...
where Z is a matrix of the independent variables, is a vector of the parameters, is the error vector, and F is a function of the independent variables and the ...
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 ...
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