An introduction to polynomial and semi-algebraic optimization:
This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
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| Schriftenreihe: | Cambridge texts in applied mathematics
52 |
| Links: | https://doi.org/10.1017/CBO9781107447226 |
| Zusammenfassung: | This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global minimizers. Indeed, among other things, powerful positivity certificates from real algebraic geometry allow one to define an appropriate hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimal values converge to the global minimum. Several extensions to related optimization problems are also described. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided. |
| Umfang: | 1 Online-Ressource (xiv, 339 Seiten) |
| ISBN: | 9781107447226 |
Internformat
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| 100 | 1 | |a Lasserre, Jean-Bernard |d 1953- | |
| 245 | 1 | 3 | |a An introduction to polynomial and semi-algebraic optimization |c Jean Bernard Lasserre, LAAS-CNRS and Institut de Mathématiques, Toulouse, France |
| 246 | 3 | |a An Introduction to Polynomial & Semi-Algebraic Optimization | |
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| 520 | |a This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global minimizers. Indeed, among other things, powerful positivity certificates from real algebraic geometry allow one to define an appropriate hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimal values converge to the global minimum. Several extensions to related optimization problems are also described. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided. | ||
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| spelling | Lasserre, Jean-Bernard 1953- An introduction to polynomial and semi-algebraic optimization Jean Bernard Lasserre, LAAS-CNRS and Institut de Mathématiques, Toulouse, France An Introduction to Polynomial & Semi-Algebraic Optimization Cambridge Cambridge University Press 2015 1 Online-Ressource (xiv, 339 Seiten) txt c cr Cambridge texts in applied mathematics 52 This is the first comprehensive introduction to the powerful moment approach for solving global optimization problems (and some related problems) described by polynomials (and even semi-algebraic functions). In particular, the author explains how to use relatively recent results from real algebraic geometry to provide a systematic numerical scheme for computing the optimal value and global minimizers. Indeed, among other things, powerful positivity certificates from real algebraic geometry allow one to define an appropriate hierarchy of semidefinite (SOS) relaxations or LP relaxations whose optimal values converge to the global minimum. Several extensions to related optimization problems are also described. Graduate students, engineers and researchers entering the field can use this book to understand, experiment with and master this new approach through the simple worked examples provided. Erscheint auch als Druck-Ausgabe 9781107060579 Erscheint auch als Druck-Ausgabe 9781107630697 |
| spellingShingle | Lasserre, Jean-Bernard 1953- An introduction to polynomial and semi-algebraic optimization |
| title | An introduction to polynomial and semi-algebraic optimization |
| title_alt | An Introduction to Polynomial & Semi-Algebraic Optimization |
| title_auth | An introduction to polynomial and semi-algebraic optimization |
| title_exact_search | An introduction to polynomial and semi-algebraic optimization |
| title_full | An introduction to polynomial and semi-algebraic optimization Jean Bernard Lasserre, LAAS-CNRS and Institut de Mathématiques, Toulouse, France |
| title_fullStr | An introduction to polynomial and semi-algebraic optimization Jean Bernard Lasserre, LAAS-CNRS and Institut de Mathématiques, Toulouse, France |
| title_full_unstemmed | An introduction to polynomial and semi-algebraic optimization Jean Bernard Lasserre, LAAS-CNRS and Institut de Mathématiques, Toulouse, France |
| title_short | An introduction to polynomial and semi-algebraic optimization |
| title_sort | introduction to polynomial and semi algebraic optimization |
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