| 书目名称 | Euclidean Distance Matrices and Their Applications in Rigidity Theory |
| 编辑 | Abdo Y. Alfakih |
| 视频video | http://file.papertrans.cn/317/316422/316422.mp4 |
| 概述 | Offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks.Highlights two parallel approaches to rigidity theory that lend t |
| 图书封面 |  |
| 描述 | This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration. .Euclidean Distance Matrices and Their Applications in Rigidity Theory. begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in ourapproach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapter |
| 出版日期 | Book 2018 |
| 关键词 | Euclidean Distance Matrix; Euclidean Distance Matrices; EDMs; Spherical EDMs; Eigenvalues of EDMs; Multid |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-97846-8 |
| isbn_softcover | 978-3-030-07417-3 |
| isbn_ebook | 978-3-319-97846-8 |
| copyright | Springer Nature Switzerland AG 2018 |
|Archiver|手机版|小黑屋|
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