Nonlinear inverse problems result from many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods.
From the contents:
- Nonlinear Landweber iteration
- Modified Landweber methods
- Newton type methods
- Multilevel methods
- Level set methods
- Applications