(Convex Optimization)
- introduction
- mathematical background
- convex sets
- convex functions
- convex optimization problems
- duality and optimality conditions
- optimization application in approximation
- optimization application in statistical estimation
- optimization applications in geometric problems
- unconstrained optimization algorithms
- equality constrained optimization algorithms
- constrained optimization algorithms
- . G. Luenberger, Y. Ye, Linear and Nonlinear Programming, Springer, Thired Edition 2008.