ON THE LEAST-SQUARES FIT BY RADIAL FUNCTIONS TO MULTIDIMENSIONAL SCATTERED DATA

Authors
SIVAKUMAR N WARD JD
Citation
N. Sivakumar et Jd. Ward, ON THE LEAST-SQUARES FIT BY RADIAL FUNCTIONS TO MULTIDIMENSIONAL SCATTERED DATA, Numerische Mathematik, 65(2), 1993, pp. 219-243
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
65
Issue
2
Year of publication
1993
Pages
219 - 243
Database
ISI
SICI code
0029-599X(1993)65:2<219:OTLFBR>2.0.ZU;2-5
Abstract
This paper investigates some aspects of discrete least squares approxi mation by translates of certain classes of radial functions. Its speci fic aims are (i) to provide conditions under which the associated leas t squares matrix is invertible and (ii) to give upper bounds for the E uclidean norms of the inverses of these matrices (when they exist).