Weekly Hours: 5
ECTS Credits: 5
Description: Introduction. Optimality Conditions. Algorithms and convergence. One dimensional optimization. Quadric models. Newton and Quasi Newton Methods. Conjugate gradient Methods. Systems of non-linear equations. Methods for sum-of Squares forms. Constrained optimization. Karush-Kuhn-Tucker optimality conditions. Penalty and barrier function methods. Lagrange multipliers and augmented Lagrangians. Software for solving optimization problems. Optimization with simple bound constraints on the variables.