Nonlinear Optimization with Engineering Applications / Edition 1

Nonlinear Optimization with Engineering Applications / Edition 1

by Michael Bartholomew-Biggs
     
 

ISBN-10: 0387787224

ISBN-13: 9780387787220

Pub. Date: 07/31/2008

Publisher: Springer US

"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 and worst-case analysis." Chapters are self-contained with exercises…  See more details below

Overview

"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 and worst-case analysis." Chapters are self-contained with exercises provided at the end of most sections. Nonlinear Optimization with Engineering Applications is ideal for self-study and classroom use in engineering courses at the senior undergraduate or graduate level. The book will also appeal to postdocs and advanced researchers interested in the development and use of optimization algorithms.

Product Details

ISBN-13:
9780387787220
Publisher:
Springer US
Publication date:
07/31/2008
Series:
Springer Optimization and Its Applications Series, #19
Edition description:
2008
Pages:
280
Product dimensions:
6.30(w) x 9.30(h) x 0.70(d)

Table of Contents

List of Figures

List of Tables

1 Introducing Optimization 1

2 One-variable Optimization 11

3 Applications in n Variables 33

4 n-Variable Unconstrained Optimization 41

5 Direct Search Methods 53

6 Computing Derivatives 63

7 The Steepest Descent Method 75

8 Weak Line Searches and Convergence 83

9 Newton and Newton-like Methods 91

10 Quasi-Newton Methods 107

11 Conjugate Gradient Methods 119

12 A Summary of Unconstrained Methods 131

14 Larger-Scale Problems 141

15 Global Unconstrained Optimization 147

16 Equality Constrained Optimization 155

17 Linear Equality Constraints 169

18 Penalty Function Methods 183

19 Sequential Quadratic Programming 197

20 Inequality Constrained Optimization 211

21 Extending Equality Constraint Methods 225

22 Barrier Function Methods 239

23 Interior Point Methods 249

24 A Summary of Constrained Methods 259

25 The OPTIMA Software 261

References 273

Index 277

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