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Book
Convex cones : geometry and probability
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ISBN: 3031151275 3031151267 Year: 2022 Publisher: Cham, Switzerland : Springer,

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Book
Optimization, variational analysis and applications : IFSOVAA-2020, Varanasi, India, February 2-4
Authors: --- ---
ISBN: 9811618194 9811618186 Year: 2021 Publisher: Singapore : Springer,


Book
Periodic Monopoles and Difference Modules
Authors: ---
ISBN: 9783030945008 Year: 2022 Publisher: Cham Springer International Publishing :Imprint: Springer


Book
Geometry of Linear Matrix Inequalities : A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization
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ISBN: 303126455X 3031264541 Year: 2023 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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Abstract

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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