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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Hlavní autor: Alfakih, Abdo Y. (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Témata:
Statistics .
Convex geometry .
Discrete geometry.
Computer science-Mathematics.
ISBN:9783319978468
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Obsah:
  • 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.

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