[eBook Code] An Introduction to Optimization (eBook Code, 3rd)

Preface.

Part I: Mathematical Review.

1. Methods of Proof and Some Notation.

2. Vector Spaces and Matrices.

3. Transformations.

4. Concepts from geometry.

5. Elements of Calculus.

Part II: Unconstrained Optimization.

6. Basics of Set-Constrained and Unconstrained Optimization.

7. One-Dimensional Search Methods.

8. Gradient Methods.

9. Newton's Method.

10. Conjugate Direction Methods.

11. Quasi-Newton Methods.

12. Solving Linear Equations.

13. Unconstrained Optimization and Neural Networks.

14. Global Search Algorithms.

Part III: Linear Programming.

15. Introduction to Linear Programming.

16. Simplex Method.

17. Duality.

18. Nonsimplex Methods.

Part IV: Nonlinear Constrained Optimization

19. Problems with Equality Constraints.

20. Problems with Inequality Constraints.

21. Convex Optimization Problems.

22. Algorithms for Constrained Optimization.

23. Multiobjective Optimization.

References.

Index.