The Geometry of EDMs

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

Chapter Chapter 5 in Euclidean Distance Matrices and Their Applications in Rigidity Theory, 2018, pp 115-120 from Springer

Abstract: Abstract The geometric properties of EDMs are inherited from those of PSD matrices. Let D n $$\mathcal{D}^{n}$$ denote the set of EDMs of order n. This chapter focuses on the geometry of D n $$\mathcal{D}^{n}$$ . In particular, we study the facial structure of D n $$\mathcal{D}^{n}$$ and its polar, and we highlight the similarities between D n $$\mathcal{D}^{n}$$ and the positive semidefinite cone S + n $$\mathcal{S}_{+}^{n}$$ .

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-97846-8_5

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DOI: 10.1007/978-3-319-97846-8_5

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