Geometry of Linear Matrix Inequalities

• Verfasst von: Netzer, Tim [VerfasserIn]
• Verfasst von: Plaumann, Daniel [VerfasserIn]
• Titel: Geometry of Linear Matrix Inequalities
• Titelzusatz: A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
• Verf.angabe: by Tim Netzer, Daniel Plaumann
• Verlagsort: Cham
• Verlagsort: Cham
• Verlag: Springer
• Verlag: Imprint: Birkhäuser
• E-Jahr: 2023
• Jahr: 2023.
• Jahr: 2023.
• Umfang: 1 Online-Ressource (VIII, 161 Seiten)
• Illustrationen: Illustrationen
• Gesamttitel/Reihe: Compact Textbooks in Mathematics
• ISBN: 978-3-031-26455-9
• DOI: doi:10.1007/978-3-031-26455-9
• Schlagwörter: (s)Algebraische Geometrie
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Netzer, Tim, 1980 - : Geometry of linear matrix inequalities. - Cham : Birkhäuser, 2023. - viii, 161 Seiten
• RVK-Notation: SK 240
• K10plus-PPN: 1848873840
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

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. Including a wealth of examples and exercises, this textbook guides the reader in helping to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections). Several general results obtained in the last 15 years by a variety of different methods are presented in the book, along with the necessary background from algebra and geometry.