On Lagrange-Hermite Interpolation
J. F. Traub · Journal of the Society for Industrial and Applied Mathematics · 1964
Previous article Next article On Lagrange-Hermite InterpolationJ. F. TraubJ. F. Traubhttps://doi.org/10.1137/0112076PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. T. Bell, Exponential polynomials, Ann. of Math. (2), 35 (1934), 258–277 MR1503161 0009.21202 CrossrefGoogle Scholar[2] Tomlinson Fort, Finite Differences and Difference Equations in the Real Domain, Oxford, at the Clarendon Press, 1948vii+251 MR0024567 0030.11902 Google Scholar[3] T. N. E. Greville, A generalization of Waring's formula, Ann. Math. Statistics, 15 (1944), 218–219 MR0010742 0060.21301 CrossrefGoogle Scholar[4] C. Hermite, Sur la formule d'interpolation de Lagrange, J. Reine Angew. Math., 84 (1878), 70–79 CrossrefGoogle Scholar[5] Alston S. Householder, Principles of numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953x+274 MR0059056 0051.34602 Google Scholar[6] Vladimir Ivanovich Krylov, Approximate calculation of integrals, Translated by Arthur H. Stroud, The Macmillan Co., New York, 1962x+357 MR0144464 0111.31801 Google Scholar[7] J. Kuntzmann, Méthodes numériques: Interpolation, dérivées, Dunod, Paris, 1959xvii+253 MR0111120 0082.33501 Google Scholar[8] John Riordan, An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons Inc., New York, 1958xi+244 MR0096594 0078.00805 Google Scholar[9] Herbert E. Salzer, Formulae for hyperosculatory interpolation, direct and inverse, Quart. J. Mech. Appl. Math., 12 (1959), 100–110 MR0100958 0084.06102 CrossrefGoogle Scholar[10] Herbert E. Salzer, Hermite's general osculatory interpolation formula and a finite difference analogue, J. Soc. Indust. Appl. Math., 8 (1960), 18–27 10.1137/0108002 MR0111122 0094.26801 LinkISIGoogle Scholar[11] O. Schlömilch, Compendium der Höheren Analysis, II, Friedrich Vieweg und Sohn, Braunschweig, 1895 Google Scholar[12] A. Spitzbart, A generalization of Hermite's interpolation formula, Amer. Math. Monthly, 67 (1960), 42–46 MR0137945 0097.04702 CrossrefGoogle Scholar[13] J. F. Traub, Iterative methods for the solution of equations, Prentice-Hall Series in Automatic Computation, Prentice-Hall Inc., Englewood Cliffs, N.J., 1964xviii+310 MR0169356 0121.11204 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Volume 12, Issue 4| 1964Journal of the Society for Industrial and Applied Mathematics687-909 History Submitted:04 May 1964Published online:13 July 2006 InformationCopyright © 1964 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0112076Article page range:pp. 886-891ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics