| An Introduction to Polynomial and Semi-Algebraic Optimization Contributor(s): Lasserre, Jean Bernard (Author) |
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ISBN: 1107060575 ISBN-13: 9781107060579 Publisher: Cambridge University Press OUR PRICE: $155.80 Product Type: Hardcover - Other Formats Published: February 2015 |
| Additional Information |
| BISAC Categories: - Mathematics | Optimization - Mathematics | Algebra - General - Mathematics | Applied |
| Dewey: 519.6 |
| LCCN: 2014031786 |
| Series: Cambridge Texts in Applied Mathematics |
| Physical Information: 0.9" H x 6.1" W x 9.1" (1.35 lbs) 354 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
Contributor Bio(s): Lasserre, Jean Bernard: - Jean Bernard Lasserre is Directeur de Recherche at the LAAS laboratory in Toulouse and a member of the Institute of Mathematics of Toulouse (IMT). In 2009 he received the Lagrange Prize, awarded jointly by the Mathematical Optimization Society (MOS) and the Society for Industrial and Applied Mathematics (SIAM). He is the winner of the 2015 INFORMS Optimization Society Khachiyan Prize, awarded for life-time achievements in the area of optimization. |