An Introduction to Polynomial and Semi-Algebraic Optimization

Language: English

Published by Cambridge University Press, GB, 2015

110763069X / 9781107630697

Series: Book 33 of 44 - Cambridge Texts in Applied Mathematics

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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.

Seller Inventory # LU-9781107630697

Title
An Introduction to Polynomial and Semi-Algebraic Optimization
Author
Jean Bernard Lasserre
Publisher
Cambridge University Press, GB
Publication year
2015
Condition
New
Binding
Paperback
Language
English
ISBN 10
110763069X
ISBN 13
9781107630697
Item weight
500 grams
Series
Book 33 of 44: Cambridge Texts in Applied Mathematics

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