02752nam 22006735 450 991072989550332120240521150109.03-031-26455-X10.1007/978-3-031-26455-9(CKB)26881911200041(MiAaPQ)EBC7260464(Au-PeEL)EBL7260464(DE-He213)978-3-031-26455-9(PPN)272263907(EXLCZ)992688191120004120230607d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGeometry of Linear Matrix Inequalities A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization /by Tim Netzer, Daniel Plaumann1st ed. 2023.Cham :Springer International Publishing :Imprint: Birkhäuser,2023.1 online resource (167 pages)Compact Textbooks in Mathematics,2296-455X9783031264542 Includes bibliographical references.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.Compact Textbooks in Mathematics,2296-455XAlgebraic geometryConvex geometryDiscrete geometryMathematical optimizationAlgebraic GeometryConvex and Discrete GeometryOptimizationDesigualtats matricialsthubDominis convexosthubLlibres electrònicsthubAlgebraic geometry.Convex geometry.Discrete geometry.Mathematical optimization.Algebraic Geometry.Convex and Discrete Geometry.Optimization.Desigualtats matricialsDominis convexos929.605Netzer Tim1368018Plaumann DanielMiAaPQMiAaPQMiAaPQBOOK9910729895503321Geometry of Linear Matrix Inequalities3392323UNINA