On Condition Numbers Associated with Radial-Function Interpolation Academic Article uri icon

abstract

  • 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.

altmetric score

  • 3

author list (cited authors)

  • Narcowich, F. J., Sivakumar, N., & Ward, J. D.

citation count

  • 41

publication date

  • September 1994