Euclidean Distance Matrices and Their Applications in Rigidity Theory
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 t...
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Format: | Electronic eBook |
Language: | English |
Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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Edition: | 1st ed. 2018. |
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Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Chapter 1. Mathematical Preliminaries
- Chapter 2. Positive Semidefinite Matrices
- Chapter 3. Euclidean Distance Matrices (EDMs)
- Chapter 4. Classes of EDMs
- Chapter 5. The Geometry of EDMs
- Chapter 6. The Eigenvalues of EDMs
- Chapter 7. The Entries of EDMs
- Chapter 8. EDM Completions and Bar Frameworks
- Chapter 9. Local and Infinitesimal Rigidities
- Chapter 10. Universal and Dimensional Rigidities
- Epilogue.