Further convergence results on the general iteratively regularized Gauss-Newton methods under the discrepancy principle

Jin, Qinian2016-03-112016-03-110025-5718http://hdl.handle.net/1885/100232We consider the general iteratively regularized Gauss-Newton methods for solving nonlinear inverse problems F(x) = y using the only available noise yδ satisfying||y δ -y|| ≤ δ with a given small noise level δ > 0. In order to produce reasonable approxi© 2012 American Mathematical SocietyNonlinear inverse problemsthe general iteratively regularized GaussNewton methodsthe discrepancy principleconvergenceorder optimalityFurther convergence results on the general iteratively regularized Gauss-Newton methods under the discrepancy principle2012-12-3110.1090/S0025-5718-2012-02665-22016-06-14