Linear and Nonlinear Programming

1. Introduction -- Part I: Linear Programming -- 2. Basic Properties of Linear Programs -- 3. Duality and Complementarity -- 4. The Simplex Method -- 5. Interior-Point Methods -- 6. Conic Linear Programming -- Part II: Unconstrained Problems -- 7. Basic Properties of Solutions and Algorithms -- 8. Basic Descent Methods -- 9. Conjugate Direction Methods -- 10. Quasi-Newton Methods -- Part III: Constrained Optimization -- 11. Constrained Optimization Conditions -- 12. Primal Methods -- 13. Penalty and Barrier Methods -- 14. Local Duality and Dual Methods -- 15. Primal–Dual Methods.