Advanced Optimization Theory: Course Outline (MAT-632)

Necessary and sufficient conditions for extrema, Newton method, Constrained derivative(Jacobian)method, sensitivity analysis, Lagrangian method and its extension, Kuhn-Tucker conditions, Direct search method, Gradient and reduced gradient methods, Separable programming, Quadratic programming, Geometric programming, Linear combination method, Integer programming, Branch and bound algorithm, Cutting-plane algorithm, Zero-One polynomial programming.

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