On the discrepancy principle for some Newton type methods for solving nonlinear inverse problems

Jin, QinianTautenhahn, Ulrich2015-12-080029-599Xhttp://hdl.handle.net/1885/28663We consider the computation of stable approximations to the exact solution x† of nonlinear ill-posed inverse problems F(x) = y with nonlinear operators F : X → Y between two Hilbert spaces X and Y by the Newton type methods xk+1δ=x0-g αk(F'(xkδ) *FOn the discrepancy principle for some Newton type methods for solving nonlinear inverse problems200910.1007/s00211-008-0198-y2015-12-08