Sumários

Gradient based algorithms

3 novembro 2016, 14:30 José Miranda Guedes

Steepest descent. Conjugate gradient methods. Flectcher-Reeves conjugate gradient. Examples.


line search methods

31 outubro 2016, 11:00 José Miranda Guedes

Golden section. Bisection method. Newton method. examples.


Optimization alghoritms for unconstrained problems

27 outubro 2016, 14:30 José Miranda Guedes

Descent direction. One dimensional optimization. Line search. Equal interval search. Dicothonomus search. Examples.


Constrained problems. Global optimality

24 outubro 2016, 11:00 José Miranda Guedes

Meaning of Lagrange multipliers.  Sensitivity theorem.  Example of irregular point. Convex sets. Convex functions. Global minimum theorem. Necessary and suficient second order conditions.


Optimization with Inequality constraints

20 outubro 2016, 14:30 José Miranda Guedes

KKT conditions for problems with equality and inequality constraints. Slack variables. Examples.