Nonlinear Optimization with Engineering Applications

• Main Author: Bartholomew-Biggs, Michael (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2008.
• Series: Springer Optimization and Its Applications, 19
• Subjects: Mathematics.; Mathematical optimization.; Calculus of variations.; Operations research.; Management science.; Optimization.; Calculus of Variations and Optimal Control; Optimization.; Operations Research, Management Science.

This textbook examines a broad range of problems in science and engineering, describing key numerical methods applied to real life. The case studies presented are in such areas as data fitting, vehicle route planning and optimal control, scheduling and resource allocation, sensitivity calculations a...

Table of Contents:

• Introducing Optimization
• One-variable Optimization
• Applications in n Variables
• n-Variable Unconstrained Optimization
• Direct Search Methods
• Computing Derivatives
• The Steepest Descent Method
• Weak Line Searches and Convergence
• Newton and Newton-like Methods
• Quasi-Newton Methods
• Conjugate Gradient Methods
• ASummary of Unconstrained Methods
• Optimization with Restrictions
• Larger-Scale Problems
• Global Unconstrained Optimization
• Equality Constrained Optimization
• Linear Equality Constraints
• Penalty Function Methods
• Sequential Quadratic Programming
• Inequality Constrained Optimization
• Extending Equality Constraint Methods
• Barrier Function Methods
• Interior Point Methods
• A Summary of Constrained Methods
• The OPTIMA Software.