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Euclidean Distance Matrices and Their Applications in Rigidity Theory (Paperback)

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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.

About the Author

​Abdo Y. Alfakih is a Professor in the Department of Mathematics and Statistics at the University of Windsor. He received his PhD in Industrial and Operations Engineering at the University of Michigan. His research interests are in the areas of combinatorial optimization, semidefinite programming. His current work focuses on new approaches to the Graph Realization Problem and its relatives (bar and tensegrity framework rigidity, global rigidity, dimensional rigidity, universal rigidity etc) using Euclidean distance matrices, projected Gram matrices, Gale transform and semidefinite programming.

Product Details
ISBN: 9783030074173
ISBN-10: 303007417X
Publisher: Springer
Publication Date: January 19th, 2019
Pages: 251
Language: English