LEADER 02775nam 22006735 450 001 9910729895503321 005 20240521150109.0 010 $a3-031-26455-X 024 7 $a10.1007/978-3-031-26455-9 035 $a(CKB)26881911200041 035 $a(MiAaPQ)EBC7260464 035 $a(Au-PeEL)EBL7260464 035 $a(DE-He213)978-3-031-26455-9 035 $a(PPN)272263907 035 $a(EXLCZ)9926881911200041 100 $a20230607d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometry of Linear Matrix Inequalities$b[electronic resource] $eA Course in Convexity and Real Algebraic Geometry with a View Towards Optimization /$fby Tim Netzer, Daniel Plaumann 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2023. 215 $a1 online resource (167 pages) 225 1 $aCompact Textbooks in Mathematics,$x2296-455X 311 $a9783031264542 320 $aIncludes bibliographical references. 330 $aThis textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. Including a wealth of examples and exercises, this textbook guides the reader in helping to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections). Several general results obtained in the last 15 years by a variety of different methods are presented in the book, along with the necessary background from algebra and geometry. 410 0$aCompact Textbooks in Mathematics,$x2296-455X 606 $aAlgebraic geometry 606 $aConvex geometry 606 $aDiscrete geometry 606 $aMathematical optimization 606 $aAlgebraic Geometry 606 $aConvex and Discrete Geometry 606 $aOptimization 606 $aDesigualtats matricials$2thub 606 $aDominis convexos$2thub 608 $aLlibres electrònics$2thub 615 0$aAlgebraic geometry. 615 0$aConvex geometry. 615 0$aDiscrete geometry. 615 0$aMathematical optimization. 615 14$aAlgebraic Geometry. 615 24$aConvex and Discrete Geometry. 615 24$aOptimization. 615 7$aDesigualtats matricials 615 7$aDominis convexos 676 $a929.605 700 $aNetzer$b Tim$01368018 702 $aPlaumann$b Daniel 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910729895503321 996 $aGeometry of Linear Matrix Inequalities$93392323 997 $aUNINA