Augmented Lagrange Methods and their Application
to Inverse Problems using H1- und L2-Norms.

Wolfgang Egartner
Masters thesis, November 1991

Abstract

Convergence properties of Augmented Lagrange methods for constrained optimization are discussed in Euclidean space and Hilbert space. These methods are then used to estimate a parameter in an elliptic two-point boundary value problem. Numerical tests with simple examples are carried out using two distinct norms so that one can see some consequences of either choice.