Articoli correlati a Genericity in Polynomial Optimization: 3

9781786342218: Genericity in Polynomial Optimization: 3
Rilegato
ISBN 10: 1786342219 ISBN 13: 9781786342218
Casa editrice: World Scientific Pub Co Inc, 2017

Sinossi

In full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems are defined in a simple and elegant manner by using only the two basic (and relatively simple) notions of Newton polyhedron and non-degeneracy conditions associated with a given polynomial optimization problem. These conditions are well known in singularity theory, however, they are rarely considered within the optimization community.Explanations focus on critical points and tangencies of polynomial optimization, Hölderian error bounds for polynomial systems, Frank Wolfe-type theorem for polynomial programs and well-posedness in polynomial optimization. It then goes on to look at optimization for the different types of polynomials. Through this text graduate students, PhD students and researchers of mathematics will be provided with the knowledge necessary to use semi-algebraic geometry in optimization.

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Editore
World Scientific Pub Co Inc
Data di pubblicazione
2017
Lingua
Inglese
ISBN 10 
1786342219
ISBN 13 
9781786342218
Rilegatura
Copertina rigida
Numero di pagine
260
Contatto del produttore
non disponibile
Persona responsabile
GPSR Kontakt
gpsr@libri.de

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