Repeated knots in least squares multiquadric functions
By: by Richard Franke, Hans Hagen, Gregory M. Nielson
Contributors: Hagen, Hans; Nielson, Gregory M.; Naval Postgraduate School. Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1994
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 11
Subjects: FUNCTIONS; ALGORITHMS; LEAST SQUARES METHOD
Other titles: NPS-MA-94-004.
Description: A previous paper by the authors noted that there was a strong tendency to obtain      near-repeated knots in their algorithm for least squares approximation of scattered data by      multiquadric functions. In this paper we observe that this leads naturally to the inclusion of      derivatives of the multiquadric basis function in the approximation, and give an algorithm for      accomplishing this. A comparison of the results obtained with this algorithm and the previous      one is made. While the multiple knot algorithm usually has the advantage in terms of      accuracy and computational stability, there are datasets for which this is reversed. Least      squares multiquadric functions
Notes: Cover title.

"NPS-MA-94-004."

"Technical report for period August 1993 - October 1993."

AD A273 866.

Includes bibliographical references (p. 10).

aq/aq cc:9116 03/21/97.