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