Euclidean Distance Matrices (EDMs)

Abdo Y. Alfakih
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Abdo Y. Alfakih: University of Windsor, Department of Mathematics and Statistics

Chapter Chapter 3 in Euclidean Distance Matrices and Their Applications in Rigidity Theory, 2018, pp 51-87 from Springer

Abstract: Abstract This chapter provides an introduction to Euclidean distance matrices (EDMs). Our primary focus is on various characterizations and basic properties of EDMs. The chapter also discusses methods to construct new EDMs from old ones, and presents some EDM necessary and sufficient inequalities. It also provides a discussion of the Cayley–Menger matrix and Schoenberg Transformations.

Date: 2018
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DOI: 10.1007/978-3-319-97846-8_3

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