ON CONDITION NUMBERS ASSOCIATED WITH RADIAL-FUNCTION INTERPOLATION

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, p-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.

authors

• Narcowich, Francis
• Sivakumar, Natarajan
• Ward, Joseph

published proceedings

• JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

altmetric score

• 3

author list (cited authors)

• NARCOWICH, F. J., SIVAKUMAR, N., & WARD, J. D.

citation count

• 42

complete list of authors

• NARCOWICH, FJ||SIVAKUMAR, N||WARD, JD

publication date

• January 1994

publisher

• Elsevier  Publisher

published in

• Journal of Mathematical Analysis and Applications  Journal

Digital Object Identifier (DOI)

• 10.1006/jmaa.1994.1311

start page

• 457

end page

• 485

volume

• 186

issue

• 2

URL

• http://dx.doi.org/10.1006/jmaa.1994.1311