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Distance Matrices and Ridge Function Interpolation

Published online by Cambridge University Press:  20 November 2018

Les Reid  and
Xingping Sun
Les Reid
Affiliation:
Department of Mathematics Southwest Missouri State University Springfield, Missouri 65804 USA.
Xingping Sun
Affiliation:
Department of Mathematics Southwest Missouri State University Springfield, Missouri 65804 USA.
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Abstract

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A geometric characterization is given for a collection of points in ℝd to produce a singular l1 -distance matrix. Some quantitative results are established in terms of "characteristic matrices". The results in this paper generalize those of Dyn, Light and Cheney and have application to ridge function interpolation.

Keywords

41A0541A63
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 6 , 01 December 1993 , pp. 1313 - 1323
Copyright
Copyright © Canadian Mathematical Society 1993

References

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