Geometry of Linear Matrix Inequalities A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization /

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...

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Αποθηκεύτηκε σε:
Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Netzer, Tim (Συγγραφέας), Plaumann, Daniel (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:Αγγλικά
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2023.
Έκδοση:1st ed. 2023.
Σειρά:Compact Textbooks in Mathematics,
Θέματα:
Διαθέσιμο Online:https://doi.org/10.1007/978-3-031-26455-9
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245 1 0 |a Geometry of Linear Matrix Inequalities  |h [electronic resource] :  |b A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization /  |c by Tim Netzer, Daniel Plaumann. 
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264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2023. 
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520 |a 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. 
532 8 |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
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650 0 |a Algebraic geometry. 
650 0 |a Convex geometry . 
650 0 |a Discrete geometry. 
650 0 |a Mathematical optimization. 
650 1 4 |a Algebraic Geometry. 
650 2 4 |a Convex and Discrete Geometry. 
650 2 4 |a Optimization. 
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