Geometry of linear matrix inequalities [Documento eletrónico] : a course in convexity and real algebraic geometry with a view towards optimization / by Tim Netzer, Daniel Plaumann
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Birkhäuser, 2023Description: VIII, 161 p. : il.ISBN: 978-3-031-26455-9.Series: Compact textbooks in mathematicsSubject - Topical Name: Algebraic geometry | Convex geometry | Discrete geometry | Mathematical optimization Online Resources:Click here to access online| Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
|---|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA564.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 97271 |
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.
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