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Volumn 35, Issue 3, 1995, Pages 361-384

Least squares approximation by splines with free knots

Author keywords

B splines with free knots; constrained least squares approximation; Data fitting; knot removal strategies

Indexed keywords


EID: 0013017017     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/BF01732610     Document Type: Article
Times cited : (73)

References (27)
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  • 4
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    • C. de Boor and J. R. Rice, Least squares cubic spline approximation II — variable knots, Technical Report CSD TR 21, Computer Science Department, Purdue University, 1968.
  • 5
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    • J. E. Dennis and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice Hall, Inc., 1983.
  • 6
    • 84936702450 scopus 로고    scopus 로고
    • P. Dierckx, Het aanpassen van krommen en oppervlakken aan meetpunten met behulp van spline funkties, PhD thesis, Katholieke Universiteit Leuven, 1979.
  • 7
    • 84936702449 scopus 로고    scopus 로고
    • P. Dierckx, Curve and surface fitting with splines, Oxford University Press, 1993.
  • 8
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    • R. Fletcher, Practical Methods of Optimization, John Wiley & Sons, 1987.
  • 10
    • 84936702444 scopus 로고    scopus 로고
    • A. Griewank and G. Corliss, eds., Automatic Differentiation of Algorithms: Theory, Implementation, and Application, Philadelphia, 1991, SIAM Publications.
  • 12
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    • 0016450838 scopus 로고
    • A variable projection method for solving separable nonlinear least squares problems
    • (1975) BIT , vol.15 , pp. 49-57
    • Kaufman, L.1
  • 15
    • 0343507766 scopus 로고
    • A globalization scheme for the generalized Gauss-Newton method
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    • Knoth, O.1
  • 16
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    • Efficient implementation of a variable projection algorithm for nonlinear least squares problems
    • (1974) Comm. ACM , vol.17 , pp. 167-169
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  • 26
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    • M. von Golitschek and L. L. Schumaker, Data fitting by penalized least squares, in Algorithms for Approximation II, J. C. Mason and M. G. Cox, eds., London-New York, 1988, Chapman and Hall, pp. 210–227.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.