Repeated Knots in Least Squares Multiquadric Functions

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Oct 14, 1993
Accession Number
ADA273866

Entities

People

  • Gregory M. Nielson
  • Hans Hagen
  • Richard Franke

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Classification
  • Coalescence
  • Coefficients
  • Computations
  • Computer Science
  • Data Sets
  • Directional
  • Equations
  • Errors
  • Grids
  • Mathematics
  • Military Research
  • Polynomials
  • Precision
  • Security

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