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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
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FUNCTIONS, ALGORITHMS, LEAST SQUARES METHODShowing 1 featured edition. View all 1 editions?
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1
Repeated knots in least squares multiquadric functions
1994, Naval Postgraduate School, Available from National Technical Information Service
in English
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Book Details
Edition 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.
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