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 ...
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 ...
SIAM Journal on Numerical Analysis, Vol. 27, No. 3 (Jun., 1990), pp. 804-822 (19 pages) Interval Newton methods in conjunction with generalized bisection can form the basis of algorithms that find all ...