Iteratively regularized Newton-type methods for general data misfit functionals and applications to Poisson data

Thorsten Hohage, Frank Werner

We study Newton type methods for inverse problems described by nonlinear operator equations $F(u)=g$ in Banach spaces where the Newton equations $F^{\prime }(u_n;u_{n+1}-u_n)=g-F(u_n)$ ar…