Nonlinear Optimization with Engineering Applications

Nonlinear Optimization with Engineering Applications by Michael Bartholomew-Biggs.

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...

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Bibliographic Details
Main Author: Bartholomew-Biggs, Michael (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer US : Imprint: Springer, 2008.
Edition:1st ed. 2008.
Series:Springer Optimization and Its Applications, 19
Springer eBook Collection.
Subjects:
Mathematical optimization.
Calculus of variations.
Operations research.
Management science.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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.

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