GENERICITY IN POLYNOMIAL OPTIMIZATION: 3 (Series On Optimization And Its Applications) - Hardcover

HA, HUY VUI; HUY-VUI HA & TIEN-SON PHAM; TIEN, SON PHAM

 
9781786342218: GENERICITY IN POLYNOMIAL OPTIMIZATION: 3 (Series On Optimization And Its Applications)
Hardcover
ISBN 10: 1786342219 ISBN 13: 9781786342218
Verlag: WSPC (Europe), 2017

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

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Verlag
WSPC (Europe)
Erscheinungsdatum
2017
Sprache
Englisch
ISBN 10 
1786342219
ISBN 13 
9781786342218
Einband
Tapa dura
Anzahl der Seiten
262
Kontakt zum Hersteller
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Verantwortliche Person
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