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Cover: 9783031264542 | Geometry of Linear Matrix Inequalities | Daniel Plaumann (u. a.)
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Geometry of Linear Matrix Inequalities
A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
Taschenbuch von Daniel Plaumann (u. a.)
Sprache: Englisch

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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
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.
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
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: Plaumann, Daniel
Netzer, Tim
Hersteller: Springer Nature Switzerland
Springer International Publishing
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: Daniel Plaumann (u. a.)
Erscheinungsdatum: 08.06.2023
Gewicht: 0,303 kg
Artikel-ID: 126446228
Über den 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.
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
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: Plaumann, Daniel
Netzer, Tim
Hersteller: Springer Nature Switzerland
Springer International Publishing
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: Daniel Plaumann (u. a.)
Erscheinungsdatum: 08.06.2023
Gewicht: 0,303 kg
Artikel-ID: 126446228
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