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Beschreibung
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.
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.
Über den Autor
Johanna Frischauf studierte Mathematik an der Universität Innsbruck und hat einen Master- sowie Lehramtsabschluss. Ihre Promotion in Mathematik schloss sie im Jahr 2023 in Innsbruck ab. Sie hat viel Erfahrung in der universitären Lehre, ganz besonders im Lehramtsstudiengang Mathematik.

Tim Netzer ist Professor für angewandte Algebra an der Universität Innsbruck. Er unterrichtet seit Jahren Studierende im gesamten Bachelor- und Masterstudium der Mathematik und dem Lehramtsstudium.
Zusammenfassung

Unifies recent key results, along with elementary proofs

Includes many exercises for active learning

Appeals to mathematical researchers across diverse fields

Inhaltsverzeichnis
- 1. Introduction and Preliminaries. - 2. Linear Matrix Inequalities and Spectrahedra. - 3. Spectrahedral Shadows.
Details
Erscheinungsjahr: 2023
Fachbereich: Arithmetik & Algebra
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Compact Textbooks in Mathematics
Inhalt: viii
161 S.
5 s/w Illustr.
29 farbige Illustr.
161 p. 34 illus.
29 illus. in color.
ISBN-13: 9783031264542
ISBN-10: 3031264541
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Netzer, Tim
Plaumann, Daniel
Hersteller: Springer
Birkhäuser
Springer International Publishing AG
Compact Textbooks in Mathematics
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 10 mm
Von/Mit: Tim Netzer (u. a.)
Erscheinungsdatum: 08.06.2023
Gewicht: 0,303 kg
Artikel-ID: 126446228

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