On Condition Numbers Associated with Radial-Function Interpolation
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Estimates on spectral condition numbers for scattered-data interpolation matrices associated with a certain class of conditionally positive definite radial functions of order 0, including the Gaussians, are provided. In addition, ℓp-condition number estimates, with 1 ≤ p ≤ ∞ are discussed. The estimates on the spectral condition numbers lead to necessary and sufficient conditions for such condition numbers to be independent of the number of data sites. © 1994 Academic Press, Inc.
author list (cited authors)
Narcowich, F. J., Sivakumar, N., & Ward, J. D.