Euclidean Distance Matrices and Their Applications in Rigidity Theory
Abdo Y. Alfakih
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Springer International Publishing
Naturwissenschaften, Medizin, Informatik, Technik / Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
Beschreibung
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.
Kundenbewertungen
Euclidean Distance Matrix, Spherical EDMs, Euclidean Distance Matrices, Universal Rigidity, Multidimensional Scaling, Matrix Completion Problems, Eigenvalues of EDMs, Local Rigidity, EDMs, Semidefinite Matrices, Distance Geometry