The Local Dependence of Least Squares Cubic Splines
1969; Society for Industrial and Applied Mathematics; Volume: 6; Issue: 3 Linguagem: Inglês
10.1137/0706036
ISSN1095-7170
Autores Tópico(s)Iterative Methods for Nonlinear Equations
ResumoPrevious article Next article The Local Dependence of Least Squares Cubic SplinesM. J. D. PowellM. J. D. Powellhttps://doi.org/10.1137/0706036PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Garrett Birkhoff and , Carl de Boor, Error bounds for spline interpolation, J. Math. Mech., 13 (1964), 827–835 MR0165294 0143.28503 ISIGoogle Scholar[2] Garrett Birkhoff and , Carl R. De Boor , H. L. Garabedian , Piecewise polynomial interpolation and approximation , Approximation of Functions (Proc. Sympos. General Motors Res. Lab., 1964) , Elsevier Publ. Co., Amsterdam , 1965 , 164 – 190 MR0189219 0136.04703 Google Scholar[3] H. B. Curry and , I. J. Schoenberg, On Polya frequency functions. IV: The fundamental spline functions and their limits, Tech. Summary Rep. 567, Mathematics Research Center, University of Wisconsin, Madison, 1965 Google Scholar[4] Philip J. Davis, Interpolation and approximation, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1963xiv+393 MR0157156 0111.06003 Google Scholar[5] Morris Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. 3, American Mathematical Society, New York, N. Y., 1949ix+183 MR0031114 0038.15303 CrossrefGoogle Scholar[6] M. J. D. Powell, Curve fitting by cubic splines, Rep. T. P. 307, Atomic Energy Research Establishment, Harwell, England, 1967, Numerical Approximations to Functions and Data, J. G. Hayes, ed., to appear Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Michael J. D. Powell. 29 July 1936—19 April 201531 January 2018 | Biographical Memoirs of Fellows of the Royal Society, Vol. 64 Cross Ref A History of Curves and Surfaces in CAGD Cross Ref References Cross Ref Sampling for Spline ReconstructionRobert Hummel12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 43, No. 2AbstractPDF (1137 KB)Regression by spline functionsEmpirical Economics, Vol. 2, No. 2 Cross Ref Analysis of experimental specific heat data near the critical temperature. I. Theory6 February 2001 | Journal of Physics C: Solid State Physics, Vol. 8, No. 23 Cross Ref PIECEWISE APPROXIMATION FUNCTIONS AN EDUCATIONAL NOTEDecision Sciences, Vol. 6, No. 3 Cross Ref A re-estimation of the Phillips' curve for the United Kingdom28 July 2006 | Applied Economics, Vol. 6, No. 3 Cross Ref Numerical differentiation procedures for non-exact dataNumerische Mathematik, Vol. 22, No. 3 Cross Ref Piecewise Regression Using Cubic SplinesJournal of the American Statistical Association, Vol. 68, No. 343 Cross Ref Transformation of the argument in problems concerning transverse vibrations of rodsSoviet Applied Mechanics, Vol. 8, No. 7 Cross Ref On Local Approximation Properties of L 2 -Projection on Spline-Subspaces†2 May 2007 | Applicable Analysis, Vol. 2, No. 2 Cross Ref On smooth interpolation by continuously connected piecewise polynomialsRendiconti del Circolo Matematico di Palermo, Vol. 20, No. 2-3 Cross Ref Volume 6, Issue 3| 1969SIAM Journal on Numerical Analysis History Submitted:26 October 1967Published online:14 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0706036Article page range:pp. 398-413ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics
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