Characterization of multispherical and block structures of Euclidean distance matrices

Hiroshi Kurata; Shun Matsuura

doi:10.1016/j.laa.2013.09.008

Characterization of multispherical and block structures of Euclidean distance matrices

Hiroshi Kurata, Shun Matsuura

Department of Industrial and Systems Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3177-3183
Number of pages	7
Journal	Linear Algebra and Its Applications
Volume	439
Issue number	10
DOIs	https://doi.org/10.1016/j.laa.2013.09.008
Publication status	Published - 2013 Nov 15

Keywords

Characterization
Euclidean distance matrix
Positive semidefinite matrix

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2013.09.008

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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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AU - Matsuura, Shun

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AB - 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.

KW - Characterization

KW - Euclidean distance matrix

KW - Positive semidefinite matrix

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 10

ER -

Characterization of multispherical and block structures of Euclidean distance matrices

Abstract

Keywords

ASJC Scopus subject areas

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