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The Resource Nonlinear optimization with engineering applications, by Michael Bartholomew-Biggs

Nonlinear optimization with engineering applications, by Michael Bartholomew-Biggs

Label
Nonlinear optimization with engineering applications
Title
Nonlinear optimization with engineering applications
Statement of responsibility
by Michael Bartholomew-Biggs
Creator
Subject
Language
eng
Summary
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. Among the main topics covered: * one-variable optimization - optimality conditions, direct search and gradient * unconstrained optimization in n variables - solution methods including Nelder and Mead simplex, steepest descent, Newton, Gauss-Newton, and quasi-Newton techniques, trust regions and conjugate gradients * constrained optimization in n variables - solution methods including reduced-gradients, penalty and barrier methods, sequential quadratic programming, and interior point techniques * an introduction to global optimization * an introduction to automatic differentiation 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. Also by the author: Nonlinear Optimization with Financial Applications, ISBN: 978-1-4020-8110-1, (c)2005, Springer
Member of
Cataloging source
OSU
http://library.link/vocab/creatorName
Bartholomew-Biggs, Michael C
Dewey number
519.6
Illustrations
illustrations
Index
index present
LC call number
QA402.5
LC item number
.B37 2008eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer optimization and its applications
Series volume
v. 19
http://library.link/vocab/subjectName
  • Mathematical optimization
  • Nonlinear theories
  • Engineering mathematics
  • MATHEMATICS
  • Nonlinear theories
  • Engineering mathematics
  • Mathematical optimization
  • Engineering mathematics
  • Mathematical optimization
  • Nonlinear theories
  • Nichtlineare Optimierung
  • Technische Mathematik
Label
Nonlinear optimization with engineering applications, by Michael Bartholomew-Biggs
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
429507721
Dimensions
unknown
Extent
1 online resource (xvi, 280 pages)
File format
unknown
Form of item
online
Isbn
9781441946218
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-0-387-78723-7
  • 10.1007/978-0-387-78
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-78722-0
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)429507721
Label
Nonlinear optimization with engineering applications, by Michael Bartholomew-Biggs
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
429507721
Dimensions
unknown
Extent
1 online resource (xvi, 280 pages)
File format
unknown
Form of item
online
Isbn
9781441946218
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 10.1007/978-0-387-78723-7
  • 10.1007/978-0-387-78
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-78722-0
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)429507721

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