Euclidean distance matrices: new characterization and boundary properties |
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| Authors: | Pablo Tarazaga Juan E Gallardo |
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| Institution: | 1. Department of Mathematics and Statistics , Texas A&2. M University , Corpus Christi, TX, USA tarazaga@sci.tamucc.edu;4. Department of Mathematics , Universidad Nacional de San Luis , San Luis, Argentina |
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| Abstract: | In this article we give a new characterization of Euclidean distance matrices using known necessary conditions. We also relate this characterization with the faces of the cone and give new properties for the boundary. Finally, a new characterization of spherical/non-spherical matrices is proposed. |
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| Keywords: | Euclidean distance matrices predistance matrix spherical/non-spherical matrices |
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