Numerical Optimization: Theoretical and Practical Aspects
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Starting with illustrative real-world examples, this book exposes in a tutorial way algorithms for numerical optimization: fundamental ones (Newtonian methods, line-searches, trust-region, sequential quadratic programming, etc.), as well as more specialized and advanced ones (nonsmooth optimization, decomposition techniques, and interior-point methods). Most of these algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects are addressed with care, often using minimal assumptions. The present version contains substantial changes with respect to the first edition. Part I on unconstrained optimization has been completed with a section on quadratic programming. Part II on nonsmooth optimization has been thoroughly reorganized and expanded. In addition, nontrivial application problems have been inserted, in the form of computational exercises. These should help the reader to get a better understanding of optimization methods beyond their abstract description, by addressing important features to be taken into account when passing to implementation of any numerical algorithm. This level of detail is intended to familiarize the reader with some of the crucial questions of numerical optimization: how algorithms operate, why they converge, difficulties that may be encountered and their possible remedies |
| Physical Description: | 1 Online-Ressource (XIII, 423 p) |
| ISBN: | 9783662050781 9783540001911 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-662-05078-1 |
Staff View
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Record in the Search Index
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| id | DE-604.BV042423339 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662050781 9783540001911 |
| issn | 0172-5939 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858756 |
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| physical | 1 Online-Ressource (XIII, 423 p) |
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| publisher | Springer Berlin Heidelberg |
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| spelling | Bonnans, J. Frédéric Verfasser aut Numerical Optimization Theoretical and Practical Aspects by J. Frédéric Bonnans, J. Charles Gilbert, Claude Lemaréchal, Claudia A. Sagastizábal Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (XIII, 423 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Starting with illustrative real-world examples, this book exposes in a tutorial way algorithms for numerical optimization: fundamental ones (Newtonian methods, line-searches, trust-region, sequential quadratic programming, etc.), as well as more specialized and advanced ones (nonsmooth optimization, decomposition techniques, and interior-point methods). Most of these algorithms are explained in a detailed manner, allowing straightforward implementation. Theoretical aspects are addressed with care, often using minimal assumptions. The present version contains substantial changes with respect to the first edition. Part I on unconstrained optimization has been completed with a section on quadratic programming. Part II on nonsmooth optimization has been thoroughly reorganized and expanded. In addition, nontrivial application problems have been inserted, in the form of computational exercises. These should help the reader to get a better understanding of optimization methods beyond their abstract description, by addressing important features to be taken into account when passing to implementation of any numerical algorithm. This level of detail is intended to familiarize the reader with some of the crucial questions of numerical optimization: how algorithms operate, why they converge, difficulties that may be encountered and their possible remedies Mathematics Computer software Computer science Numerical analysis Mathematical optimization Engineering Operations Research, Management Science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Algorithm Analysis and Problem Complexity Mathematics of Computing Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Optimierung (DE-588)4043664-0 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Optimierung (DE-588)4043664-0 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Gilbert, J. Charles Sonstige oth Lemaréchal, Claude Sonstige oth Sagastizábal, Claudia A. Sonstige oth https://doi.org/10.1007/978-3-662-05078-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bonnans, J. Frédéric Numerical Optimization Theoretical and Practical Aspects Mathematics Computer software Computer science Numerical analysis Mathematical optimization Engineering Operations Research, Management Science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Algorithm Analysis and Problem Complexity Mathematics of Computing Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Optimierung (DE-588)4043664-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4128130-5 |
| title | Numerical Optimization Theoretical and Practical Aspects |
| title_auth | Numerical Optimization Theoretical and Practical Aspects |
| title_exact_search | Numerical Optimization Theoretical and Practical Aspects |
| title_full | Numerical Optimization Theoretical and Practical Aspects by J. Frédéric Bonnans, J. Charles Gilbert, Claude Lemaréchal, Claudia A. Sagastizábal |
| title_fullStr | Numerical Optimization Theoretical and Practical Aspects by J. Frédéric Bonnans, J. Charles Gilbert, Claude Lemaréchal, Claudia A. Sagastizábal |
| title_full_unstemmed | Numerical Optimization Theoretical and Practical Aspects by J. Frédéric Bonnans, J. Charles Gilbert, Claude Lemaréchal, Claudia A. Sagastizábal |
| title_short | Numerical Optimization |
| title_sort | numerical optimization theoretical and practical aspects |
| title_sub | Theoretical and Practical Aspects |
| topic | Mathematics Computer software Computer science Numerical analysis Mathematical optimization Engineering Operations Research, Management Science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Algorithm Analysis and Problem Complexity Mathematics of Computing Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Optimierung (DE-588)4043664-0 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Mathematics Computer software Computer science Numerical analysis Mathematical optimization Engineering Operations Research, Management Science Calculus of Variations and Optimal Control; Optimization Numerical Analysis Algorithm Analysis and Problem Complexity Mathematics of Computing Computational Intelligence Informatik Ingenieurwissenschaften Mathematik Optimierung Numerisches Verfahren |
| url | https://doi.org/10.1007/978-3-662-05078-1 |
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