An Introduction to Optimization, 3rd edition

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First submitted by MathWorks Classroom Resources Team on 7 Dec 2009

Introduction to optimization methods at the senior undergraduate level, with MATLAB exercises

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7 Dec 2009	MathWorks Classroom Resources Team	"An Introduction to Optimization, 3e", by Edwin K. P. Chong and Stanislaw H. Żak. John Wiley & Sons, Inc., 2008. == Table of Contents 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.

7 Dec 2009

MathWorks Classroom Resources Team

"An Introduction to Optimization, 3e", by Edwin K. P. Chong and Stanislaw H. Żak. John Wiley & Sons, Inc., 2008.

== Table of Contents

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.

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