# Optimization Notes Hub
> [!Note]
> Hub consolidating notes on **Optimization** — continuous, linear, convex,
> combinatorial, and metaheuristic methods. Reference: Boyd & Vandenberghe
> (*Convex Optimization*), Nocedal & Wright (*Numerical Optimization*),
> Wolsey (*Integer Programming*).
## 1. Foundations
- [[Optimization Problem]]
- [[Objective Function]]
- [[Feasibility Region]]
- [[Local vs Global Optimum]]
- [[Convex vs Non-Convex Optimization]]
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## 2. Continuous Optimization
- [[Gradient Descent]]
- [[Newton's Method]]
- [[Quasi-Newton Methods]]
- [[Conjugate Gradient]]
- [[Lagrangian Multipliers]]
- [[KKT Conditions]]
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## 3. Linear and Convex Programming
- [[Linear Programming]]
- [[Simplex Method]]
- [[Duality]]
- [[Convex Optimization]]
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## 4. Combinatorial Optimization
- [[Combinatorial Optimization]]
- [[Integer Linear Programming]]
- [[Branch and Bound]]
- [[Branch and Cut]]
- [[Dynamic Programming]]
- [[Bellman Equation]]
- [[Combinatorial-planning-problem (CPP)]]
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## 5. Metaheuristics
- [[Simulated Annealing]]
- [[Genetic Algorithms]]
- [[Tabu Search]]
- [[Particle Swarm Optimization]]
- [[Ant Colony Optimization]]