Norm estimates for inverses of Euclidean distance matrices
type: Item
instance of: scholarly article
title: Norm estimates for inverses of Euclidean distance matrices
zbMATH Open document ID: 0776.41003
DOI: 10.1016/0021-9045(92)90064-U
author: Xingping Sun
published in: Journal of Approximation Theory
publication date: 1993-01-16T00:00:00Z
review text: An estimate for the norm of inverses of Euclidean distance matrices \((\| x_ j-x_ k\|)\) (where \(x_ 1,\dots,x_ n\) are \(n\) distinct points in \(\mathbb{R}^ d)\) is obtained for all dimensions \(d\). For \(d=3\) this estimate is better than Ball's one [\textit{K. Ball}, J. Approximation Theory 68, No. 1, 74-82 (1992; Zbl 0746.41002)].
Mathematics Subject Classification ID: 41A05
zbMATH DE Number: 92495
zbMATH Keywords: radial functions
zbMATH Keywords: Euclidean distance matrices
reviewed by: Alexei Lukashov
MaRDI profile type: Publication
cites work: Q3661894
cites work: Eigenvalues of euclidean distance matrices
cites work: Q3485377
cites work: Norms of inverses and condition numbers for matrices associated with scattered data
cites work: Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices
cites work: Q3779152
cites work: Q5667036
cites work: On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
cites work: Q5640160
description: scientific article; zbMATH DE number 92495