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Norm estimates for inverses of Euclidean distance matrices - MaRDI portal

Norm estimates for inverses of Euclidean distance matrices (Q1198160)

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scientific article; zbMATH DE number 92495
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Norm estimates for inverses of Euclidean distance matrices
scientific article; zbMATH DE number 92495

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    Norm estimates for inverses of Euclidean distance matrices (English)
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    16 January 1993
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    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)].
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    radial functions
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    Euclidean distance matrices
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