Inexact Newton regularization methods in Hilbert scales

Jin, QinianTautenhahn, Ulrich2015-12-070029-599Xhttp://hdl.handle.net/1885/28212We consider a class of inexact Newton regularization methods for solving nonlinear inverse problems in Hilbert scales. Under certain conditions we obtain the order optimal convergence rate result.Inexact Newton regularization methods in Hilbert scales201110.1007/s00211-010-0342-32015-12-07