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Stability of Spherical Hermite Interpolation Using Radial Basis Function
Authors:Z Luo  J Levesley
Institution:(1) Department of Mathematics and Computer Science, University of Leicester, University Road, Leicester, LE1 7RH, UK;(2) Department of Mathematics and Computer Science, University of Leicester, University Road, Leicester, LE1 7RH, UK
Abstract:In this paper, we give a lower bound for the least eigenvalue of theinterpolation matrix arising from Hermite interpolation by positive definitekernel on sphere 
$$S^{d - 1} $$
, determining the main factor for stabilityof interpolation.
Keywords:Hermite interpolation  conditionally positive definiteness  spherical harmonics
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