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Lecture Notes



Lecture Notes

This section contains an entire set of lecture notes for the course.





LEC #TOPICS
1INTRODUCTION (PDF)
2UNCONSTRAINED OPTIMIZATION - OPTIMALITY CONDITIONS (PDF)
3GRADIENT METHODS (PDF)
4CONVERGENCE ANALYSIS OF GRADIENT METHODS (PDF)
5RATE OF CONVERGENCE (PDF)
6NEWTON AND GAUSS - NEWTON METHODS (PDF)
7ADDITIONAL METHODS (PDF)
8OPTIMIZATION OVER A CONVEX SET; OPTIMALITY CONDITIONS (PDF)
9FEASIBLE DIRECTION METHODS (PDF)
10ALTERNATIVES TO GRADIENT PROJECTION (PDF)
11CONSTRAINED OPTIMIZATION; LAGRANGE MULTIPLIERS (PDF)
12CONSTRAINED OPTIMIZATION; LAGRANGE MULTIPLIERS (PDF)
13INEQUALITY CONSTRAINTS (PDF)
14INTRODUCTION TO DUALITY (PDF)
15INTERIOR POINT METHODS (PDF)
16PENALTY METHODS (PDF)
17AUGMENTED LAGRANGIAN METHODS (PDF)
18DUALITY THEORY (PDF)
19DUALITY THEOREMS (PDF)
20STRONG DUALITY (PDF)
21DUAL COMPUTATIONAL METHODS (PDF)
22ADDITIONAL DUAL METHODS (PDF)
 


 



 








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