Linear and Nonlinear Optimization

• Main Authors: Cottle, Richard W. (Author), Thapa, Mukund N. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2017.
• Series: International Series in Operations Research & Management Science, 253
• Subjects: Business.; Operations research.; Decision making.; Mathematical models.; Mathematical optimization.; Management science.; Business and Management.; Operation Research/Decision Theory.; Operations Research, Management Science.; Optimization.; Mathematical Modeling and Industrial Mathematics.

This textbook on Linear and Nonlinear Optimization is intended for graduate and advanced undergraduate students in operations research and related fields. It is both literate and mathematically strong, yet requires no prior course in optimization. As suggested by its title, the book is divided into...

Table of Contents:

• Chapter 1. LP Models and Applications
• Chapter 2. Linear Equations and Inequalities
• Chapter 3. The Simplex Algorithm
• Chapter 4. The Simplex Algorithm Continued
• Chapter 5. Duality and the Dual Simplex Algorithm
• Chapter 6. Postoptimality Analysis
• Chapter 7. Some Computational Considerations
• Chapter 8. NLP Models and Applications
• Chapter 9. Unconstrained Optimization
• Chapter 10. Descent Methods
• Chapter 11. Optimality Conditions
• Chapter 12. Problems with Linear Constraints
• Chapter 13. Problems with Nonlinear Constraints
• Chapter 14. Interior-Point Methods.