Nonlinear Optimization with Engineering Applications

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 C.
Format: Livre numérique
Language:Anglais
Published: New York, NY : Springer US [20..].
Cham : Springer Nature
Edition:1st ed. 2008.
Series:Springer Optimization and Its Applications 19
Subjects:
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Note: L'impression du document génère 295 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• From Brownian motion to Schrödinger's Equation, Kai Lai Chung, Zhongxin Zhao, 1995, Berlin, Springer, 1 vol. (XII-287 p.), Grundlehren der mathematischen Wissenschaften, 3-540-57030-6
• Nonlinear Optimization with Engineering Applications, Texte imprimé, 9781441946218
• Nonlinear optimization with engineering applications, by Michael Bartholomew-Biggs,..., New York, Springer, 2008, 1 vol. (XVI-280 p.), Springer optimization and its applications, 978-0-387-78722-0
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505 1 |a 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 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Optimisation mathématique 
650 |a Théories non linéaires 
650 |a Mathématiques de l'ingénieur 
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