Blick ins Buch

Polynomial Optimization, Moments, and Applications (eBook)

Michal Kocvara, Bernard Mourrain, Cordian Riener (Herausgeber)

eBook Download: PDF

2023 | 1. Auflage
XIV, 266 Seiten
Springer-Verlag
978-3-031-38659-6 (ISBN)

Lese- und Medienproben

Ebook-Leseprobe (PDF)

Polynomial optimization is a fascinating field of study that has revolutionized the way we approach nonlinear problems described by polynomial constraints. The applications of this field range from production planning processes to transportation, energy consumption, and resource control.

This introductory book explores the latest research developments in polynomial optimization, presenting the results of cutting-edge interdisciplinary work conducted by the European network POEMA. For the past four years, experts from various fields, including algebraists, geometers, computer scientists, and industrial actors, have collaborated in this network to create new methods that go beyond traditional paradigms of mathematical optimization. By exploiting new advances in algebra and convex geometry, these innovative approaches have resulted in significant scientific and technological advancements. This book aims to make these exciting developments accessible to a wider audience by gathering high-quality chapters on these hot topics.

Aimed at both aspiring and established researchers, as well as industry professionals, this book will be an invaluable resource for anyone interested in polynomial optimization and its potential for real-world applications.

Michal Kocvara is Professor in Mathematical Optimization at the University of Birmingham, UK, and a senior researcher at the Academy of Sciences of the Czech Republic. He (co-)authored a monograph and over 50 journal articles on various aspects of mathematical optimization and optimization of mechanical structures. He co-developed several computer programs for nonlinear and semidefinite optimization and optimization of elastic structures. His work has been supported by several EU grants.

Bernard Mourrain is research director at Inria of Université Côte d'Azur. He was at École Normale Supérieure de Cachan from 1984 to 1988, got his PhD at the center of Mathematics of École Polytechnique in 1991, his Habilitation à Diriger des Recherches at the University of Nice in 1997. His research interests include symbolic and numeric computation, polynomial systems solving, polynomial optimization, effective algebraic geometry, geometric modeling, isogeometric analysis.

Cordian Riener is a professor of mathematics at UiT The Arctic University of Norway, located in Tromsø, Norway. He studied mathematical economics, mathematics and philosophy at Ulm University, the University Bordeaux 2, and Goethe University Frankfurt. After completing his PhD in mathematics at Goethe University Frankfurt, he worked as a postdoc at the University of Konstanz and Aalto University. His interests are focused on mathematical structures in computation, optimization, and computational complexity.

Erscheint lt. Verlag	27.12.2023
Reihe/Serie	Springer Optimization and Its Applications
Zusatzinfo	XIV, 266 p. 40 illus., 29 illus. in color.
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	convex geometry • Entropy • Geometric Modeling • Moments • Poema • polynomial optimization • real algebraic geometry • sum of squares • symmetry
ISBN-10	3-031-38659-0 / 3031386590
ISBN-13	978-3-031-38659-6 / 9783031386596

Haben Sie eine Frage zum Produkt?

PDF (Wasserzeichen)
Größe: 10,0 MB

DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasserzeichen und ist damit für Sie personalisiert. Bei einer missbräuchlichen Weitergabe des eBooks an Dritte ist eine Rückverfolgung an die Quelle möglich.

Dateiformat: PDF (Portable Document Format)
Mit einem festen Seitenlayout eignet sich die PDF besonders für Fachbücher mit Spalten, Tabellen und Abbildungen. Eine PDF kann auf fast allen Geräten angezeigt werden, ist aber für kleine Displays (Smartphone, eReader) nur eingeschränkt geeignet.

Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.

Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.

Print-Ausgabe

Buch | Hardcover

139,09 €