On (super-)spherical distance matrices and two results from Schoenberg

DOI10.1016/0024-3795(95)00558-7zbMath0870.15013OpenAlexW2015397248MaRDI QIDQ5961695

Bernard Fichet, Frank Critchley

Publication date: 18 September 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00558-7

zbMATH Keywords

Euclidean matricessimplicial distance matricessuperspherical semidistance matrices

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

A group majorization ordering for Euclidean distance matrices, Measuring diversity from dissimilarities with Rao's quadratic entropy: are any dissimilarities suitable?

Cites Work

• Properties of Euclidean and non-Euclidean distance matrices
• On Euclidean images of a set endowed with a preordonnance
• Circum-Euclidean distance matrices and faces
• The cone of distance matrices
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• Positive definite functions on spheres
• Characterization of Spherical and Pseudo-Spherical Sets of Points
• Metric Spaces and Positive Definite Functions
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