Abstract:
The perturbation theory of generalized inverses of bounded linear operators differs markedly from the perturbation theory for invertible operators. In this talk we highlight the differences and present a satisfactory approach to stable perturbations. We discuss operator-theoretic properties of outer inverses and their applications for regularization and approximation of linear and nonlinear ill-posed problems.
Perturbation Analysis for Generalized Inverses and the Role of Outer Inverses in Regularization and Approximation of Ill-Posed Problems
13.11.2018 14:15 - 15:15
Organiser:
O. Scherzer
Location: