书目名称 | Geometry of Linear Matrix Inequalities |
副标题 | A Course in Convexit |
编辑 | Tim Netzer,Daniel Plaumann |
视频video | |
概述 | Unifies recent key results, along with elementary proofs.Includes many exercises for active learning.Appeals to mathematical researchers across diverse fields |
丛书名称 | Compact Textbooks in Mathematics |
图书封面 |  |
描述 | 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.. |
出版日期 | Textbook 2023 |
关键词 | Real Algebraic Geometry; Convex Geometry; Matrices; Polynomial Optimization; Sums of Squares; Eigenvalues |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-26455-9 |
isbn_softcover | 978-3-031-26454-2 |
isbn_ebook | 978-3-031-26455-9Series ISSN 2296-4568 Series E-ISSN 2296-455X |
issn_series | 2296-4568 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |