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Geometry of Linear Matrix Inequalities

A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
BuchKartoniert, Paperback
161 Seiten
Englisch
Springererschienen am08.06.20232023
This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR58,84
E-BookPDF1 - PDF WatermarkE-Book
EUR58,84

Produkt

KlappentextThis textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry.
Zusammenfassung
Unifies recent key results, along with elementary proofs

Includes many exercises for active learning

Appeals to mathematical researchers across diverse fields
Details
ISBN/GTIN978-3-031-26454-2
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2023
Erscheinungsdatum08.06.2023
Auflage2023
ReiheCompact Textbooks in Mathematics
Seiten161 Seiten
SpracheEnglisch
IllustrationenVIII, 161 p. 34 illus., 29 illus. in color.
Artikel-Nr.51914762

Inhalt/Kritik

Inhaltsverzeichnis
- 1. Introduction and Preliminaries. - 2. Linear Matrix Inequalities and Spectrahedra. - 3. Spectrahedral Shadows.mehr

Schlagworte

Autor

Tim Netzer is a professor of applied algebra at the University of Innsbruck. He received his PhD in 2008 from the University of Konstanz. His research is in real algebra and geometry, with connections to optimization, functional analysis, and quantum information theory. He has worked at the Universities of Saskatchewan, Leipzig, and Dresden.
Daniel Plaumann is a professor of algebra and its applications at Dortmund University. He received his PhD in 2008 from the University of Konstanz. His research is in real and classical algebraic geometry. He has been a visiting scholar at the University of California, Berkeley, and at Nanyang Technological University, Singapore.