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Nonlinear Optimization with Engineering Applications

Michael Bartholomew-Biggs
Publisher: 
Springer
Publication Date: 
2008
Number of Pages: 
280
Format: 
Hardcover
Series: 
Springer Optimization and Its Applications 19
Price: 
69.95
ISBN: 
9780387787220
Category: 
Textbook
We do not plan to review this book.

 

Preface.- 1. Introduction to engineering optimization problems.- 2. Some engineering problems in one variable.- 3. Numerical optimization in one variable.- 4. Route-planning and other problems in several variables.- 5. Gradients, Hessians and automatic differentiation.- 6. Optimality conditions for n variable unconstrained problems.- 7. Steepest descent method.- 8. Newton method .- 9. Quasi-Newton methods.- 10. Conjugate gradient methods.- 11. Problem transformations to handle constraints.- 12. Maintenance scheduling – a case study.- 13. Data fitting and identification.- 14. The Gauss-Newton method with examples.- 15. Power system scheduling and engineering problems involving constraints.- 16. Optimality conditions for equality constrained problems.- 17. Quadratic programming and reduced gradients with examples.- 18. Penalty function methods and examples.- 19. Sequential QP methods.- 20. Trajectory optimization- a case study.- 21. Wing design and other problems involving inequality constraints.- 22. Optimality conditions for inequality constrained problems.- 23. Extending equality methods for inequalities.- 24. Barrier methods.- 25. Interior point methods.- 26. Further trajectory optimization problems.- 27. Global optimization.- 28. Route-planning – a case study.- Index.