1. The trust region strategy for the unconstrained optimization problem (four lectures).

The problem. Description of the general algorithm.
The trust region subproblem. Different strategies for solving the trust region subproblem.
The large scale case.
Global convergence theories.

2. The trust region strategy for the nonlinear systems, (one lecture).

3. The trust region strategy for the general constrained optimization problem, (four lectures).

Description of the general algorithm.
The trust region subproblem. The tangent space and the full space approaches.
Merit functions.
Global convergence theories.

4. Recent developments for trust region methods, (one lecture).