| 1 |
Unconstrained Optimization Optimality Conditions (PDF) |
| 2 |
Convex Unconstrained Optimization Optimality Conditions |
| 3 |
Newton's Method (PDF) |
| 4 |
Quadratic Forms (PDF) |
| 5 |
Steepest Descent Method (PDF - 2.2 MB) |
| 6 |
Constrained Optimization Optimality Conditions I (PDF) |
| 7 |
Constrained Optimization Optimality Conditions II |
| 8 |
Constrained Optimization Optimality Conditions III |
| 9 |
Projection Methods for Equality Constrained Problems (PDF) |
| 10 |
Projection Methods/Penalty Methods (PDF) |
| 11 |
Penalty Methods |
| 12 |
Barrier Methods, Conditional Gradient Method (PDF) |
| 13 |
Midterm Exam |
| 14 |
Interior-Point Methods for Linear Optimization I (PDF) |
| 15 |
Interior-Point Methods for Linear Optimization II |
| 16 |
Analysis of Convex Sets (PDF) |
| 17 |
Analysis of Convex Functions |
| 18 |
Duality Theory I (PDF) |
| 19 |
Duality Theory II |
| 20 |
Duality Theory III |
| 21 |
Duality Theory IV (PDF) |
| 22 |
Generalized Programming and Subgradient Optimization (PDF) |
| 23 |
Semidefinite Optimization I (PDF) |
| 24 |
Semidefinite Optimization II |
| 25 |
Semidefinite Optimization III |
| 26 |
Extensions and Wrap-up |
