The Resource Nonlinear optimization with engineering applications, by Michael BartholomewBiggs
Nonlinear optimization with engineering applications, by Michael BartholomewBiggs
Resource Information
The item Nonlinear optimization with engineering applications, by Michael BartholomewBiggs represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Nonlinear optimization with engineering applications, by Michael BartholomewBiggs represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 worstcase analysis. Among the main topics covered: * onevariable optimization  optimality conditions, direct search and gradient * unconstrained optimization in n variables  solution methods including Nelder and Mead simplex, steepest descent, Newton, GaussNewton, and quasiNewton techniques, trust regions and conjugate gradients * constrained optimization in n variables  solution methods including reducedgradients, penalty and barrier methods, sequential quadratic programming, and interior point techniques * an introduction to global optimization * an introduction to automatic differentiation Chapters are selfcontained with exercises provided at the end of most sections. Nonlinear Optimization with Engineering Applications is ideal for selfstudy 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: 9781402081101, (c)2005, Springer
 Language
 eng
 Extent
 1 online resource (xvi, 280 pages)
 Contents

 Preface
 1. Introduction to engineering optimization problems
 2. Some engineering problems in one variable
 3. Numerical optimization in one variable
 4. Routeplanning 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. QuasiNewton methods
 10. Conjugate gradient methods
 11. Problem transformations to handle constraints
 12. Maintenance scheduling
 a case study
 13. Data fitting and identification
 14. The GaussNewton 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. Routeplanning
 a case study
 Index
 Isbn
 9781441946218
 Label
 Nonlinear optimization with engineering applications
 Title
 Nonlinear optimization with engineering applications
 Statement of responsibility
 by Michael BartholomewBiggs
 Subject

 Engineering mathematics
 Engineering mathematics
 Engineering mathematics
 MATHEMATICS  Optimization
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Nichtlineare Optimierung
 Nonlinear theories
 Nonlinear theories
 Nonlinear theories
 Nonlinear theories
 Technische Mathematik
 Engineering mathematics
 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 worstcase analysis. Among the main topics covered: * onevariable optimization  optimality conditions, direct search and gradient * unconstrained optimization in n variables  solution methods including Nelder and Mead simplex, steepest descent, Newton, GaussNewton, and quasiNewton techniques, trust regions and conjugate gradients * constrained optimization in n variables  solution methods including reducedgradients, penalty and barrier methods, sequential quadratic programming, and interior point techniques * an introduction to global optimization * an introduction to automatic differentiation Chapters are selfcontained with exercises provided at the end of most sections. Nonlinear Optimization with Engineering Applications is ideal for selfstudy 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: 9781402081101, (c)2005, Springer
 Cataloging source
 OSU
 http://library.link/vocab/creatorName
 BartholomewBiggs, 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 BartholomewBiggs
 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. Routeplanning 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. QuasiNewton methods  10. Conjugate gradient methods  11. Problem transformations to handle constraints  12. Maintenance scheduling  a case study  13. Data fitting and identification  14. The GaussNewton 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. Routeplanning  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

 10.1007/9780387787237
 10.1007/978038778
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387787220
 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 BartholomewBiggs
 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. Routeplanning 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. QuasiNewton methods  10. Conjugate gradient methods  11. Problem transformations to handle constraints  12. Maintenance scheduling  a case study  13. Data fitting and identification  14. The GaussNewton 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. Routeplanning  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

 10.1007/9780387787237
 10.1007/978038778
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387787220
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)429507721
Subject
 Engineering mathematics
 Engineering mathematics
 Engineering mathematics
 MATHEMATICS  Optimization
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Mathematical optimization
 Nichtlineare Optimierung
 Nonlinear theories
 Nonlinear theories
 Nonlinear theories
 Nonlinear theories
 Technische Mathematik
 Engineering mathematics
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