Nonlinear Optimization:
Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive t...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton and Oxford
Princeton University Press
[2011]
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| Online-Zugang: | Volltext |
| Zusammenfassung: | Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision. Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures. The book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It addresses not only classical material but also modern topics such as optimality conditions and numerical methods for problems involving nondifferentiable functions, semidefinite programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's worth of notes the author compiled in successfully teaching the subject, this book will help readers to understand the mathematical foundations of the modern theory and methods of nonlinear optimization and to analyze new problems, develop optimality theory for them, and choose or construct numerical solution methods. It is a must for anyone seriously interested in optimization |
| Beschreibung: | 1 Online-Ressource (xiv, 448 Seiten) Illustrationen |
| ISBN: | 9781400841059 |
| DOI: | 10.1515/9781400841059 |
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| 520 | |a Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision. Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures. The book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It addresses not only classical material but also modern topics such as optimality conditions and numerical methods for problems involving nondifferentiable functions, semidefinite programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's worth of notes the author compiled in successfully teaching the subject, this book will help readers to understand the mathematical foundations of the modern theory and methods of nonlinear optimization and to analyze new problems, develop optimality theory for them, and choose or construct numerical solution methods. It is a must for anyone seriously interested in optimization | ||
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| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400841059 |
| format | Electronic eBook |
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| isbn | 9781400841059 |
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| spelling | Ruszczyński, Andrzej P. (DE-588)115267689 aut Nonlinear Optimization Andrzej Ruszczyński Princeton and Oxford Princeton University Press [2011] © 2006 1 Online-Ressource (xiv, 448 Seiten) Illustrationen txt rdacontent c rdamedia cr rdacarrier Optimization is one of the most important areas of modern applied mathematics, with applications in fields from engineering and economics to finance, statistics, management science, and medicine. While many books have addressed its various aspects, Nonlinear Optimization is the first comprehensive treatment that will allow graduate students and researchers to understand its modern ideas, principles, and methods within a reasonable time, but without sacrificing mathematical precision. Andrzej Ruszczynski, a leading expert in the optimization of nonlinear stochastic systems, integrates the theory and the methods of nonlinear optimization in a unified, clear, and mathematically rigorous fashion, with detailed and easy-to-follow proofs illustrated by numerous examples and figures. The book covers convex analysis, the theory of optimality conditions, duality theory, and numerical methods for solving unconstrained and constrained optimization problems. It addresses not only classical material but also modern topics such as optimality conditions and numerical methods for problems involving nondifferentiable functions, semidefinite programming, metric regularity and stability theory of set-constrained systems, and sensitivity analysis of optimization problems. Based on a decade's worth of notes the author compiled in successfully teaching the subject, this book will help readers to understand the mathematical foundations of the modern theory and methods of nonlinear optimization and to analyze new problems, develop optimality theory for them, and choose or construct numerical solution methods. It is a must for anyone seriously interested in optimization MATHEMATICS / Applied bisacsh Mathematical optimizatio Mathematical optimization Mathematics Nonlinear theorie Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Nichtlineare Optimierung (DE-588)4128192-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-691-11915-1 https://doi.org/10.1515/9781400841059 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ruszczyński, Andrzej P. Nonlinear Optimization MATHEMATICS / Applied bisacsh Mathematical optimizatio Mathematical optimization Mathematics Nonlinear theorie Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| subject_GND | (DE-588)4128192-5 |
| title | Nonlinear Optimization |
| title_auth | Nonlinear Optimization |
| title_exact_search | Nonlinear Optimization |
| title_full | Nonlinear Optimization Andrzej Ruszczyński |
| title_fullStr | Nonlinear Optimization Andrzej Ruszczyński |
| title_full_unstemmed | Nonlinear Optimization Andrzej Ruszczyński |
| title_short | Nonlinear Optimization |
| title_sort | nonlinear optimization |
| topic | MATHEMATICS / Applied bisacsh Mathematical optimizatio Mathematical optimization Mathematics Nonlinear theorie Nonlinear theories Nichtlineare Optimierung (DE-588)4128192-5 gnd |
| topic_facet | MATHEMATICS / Applied Mathematical optimizatio Mathematical optimization Mathematics Nonlinear theorie Nonlinear theories Nichtlineare Optimierung |
| url | https://doi.org/10.1515/9781400841059 |
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