Characterization of multispherical and block structures of Euclidean distance matrices |
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| Authors: | Hiroshi Kurata Shun Matsuura |
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| Institution: | 1. Graduate School of Arts and Sciences, The University of Tokyo, Japan;2. Faculty of Science and Technology, Keio University, Japan |
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| Abstract: | This paper presents some new characterizations of Euclidean distance matrices (EDMs) of special structures. More specifically, we discuss multispherical and block-structured EDMs, each of which can be viewed as a generalization of spherical EDM. We focus on a well-known inequality that characterizes spherical EDMs and extend it to the sets of multispherical and block-structured EDMs. Some related results are also presented. |
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| Keywords: | 15B48 |
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