Tim Netzer,Daniel Plaumann
Geometry of Linear Matrix Inequalities: A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
Geometry of Linear Matrix Inequalities: A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
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- More about Geometry of Linear Matrix Inequalities: A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
Spectrahedra are the solution sets to linear matrix inequalities, and this textbook provides a thorough introduction to them, including examples and exercises. It also presents general results obtained in the last 15 years.
Format: Paperback / softback
Length: 161 pages
Publication date: 08 June 2023
Publisher: Birkhauser Verlag AG
Spectrahedra, the solution sets to linear matrix inequalities, have emerged as crucial tools in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. This comprehensive textbook offers a thorough introduction to these fascinating mathematical structures. It includes a wealth of examples and exercises to guide readers in understanding how to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections). Furthermore, the book presents several general results obtained in the past 15 years through diverse methods, providing the necessary background from algebra and geometry. By delving into the world of spectrahedra, readers will gain valuable insights into the rich interplay between optimization, algebra, and geometry, enabling them to solve complex problems and advance their understanding of these mathematical disciplines.
Spectrahedra, the solution sets to linear matrix inequalities, have emerged as crucial tools in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. This comprehensive textbook offers a thorough introduction to these fascinating mathematical structures. It includes a wealth of examples and exercises to guide readers in understanding how to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections). Furthermore, the book presents several general results obtained in the past 15 years through diverse methods, providing the necessary background from algebra and geometry. By delving into the world of spectrahedra, readers will gain valuable insights into the rich interplay between optimization, algebra, and geometry, enabling them to solve complex problems and advance their understanding of these mathematical disciplines.
Weight: 328g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031264542
Edition number: 1st ed. 2023
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