Advanced Nonlinear Optimization
- Fundamentals of Linear Algebra and Matrix Analysis
- Affine Sets, Convex Sets, and Cones
- Operations that Preserve Convexity of Sets
- Convex Functions and First- and Second-Order Conditions
- Operations that Preserve Convexity of Functions
- Convex Optimization Problems (LP, QP, and SOCP)
- Convex Optimization Problems (SDP and GP)
- Dual Problem
- Weak and Strong Duality Theorems and Constraint Qualifications
- Implementation and Applications
- One-Dimensional Optimization and Search Methods
- Multivariable Unconstrained Optimization: Optimality Conditions
- Iterative Methods for Unconstrained Optimization
- Multivariable Constrained Optimization: KKT and Fritz-John Conditions
- Iterative Methods for Constrained Optimization