On a Discrete Version of the Newton-Raphson Method

Previous article Next article On a Discrete Version of the Newton-Raphson MethodLeon WeggeLeon Weggehttps://doi.org/10.1137/0703009PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] F. B. Hildebrand, Methods of applied mathematics, Precntice-Hall, Inc., New York, N. Y., 1952xi+523 MR0057300 0049.09103 Google Scholar[2] Alston S. Householder, Principles of numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953x+274 MR0059056 0051.34602 Google Scholar[3] W. M. Kincaid, A two-point method for the numerical solution of systems of simultaneous equations, Quart. Appl. Math., 18 (1960/1961), 313–324 MR0119411 0096.32302 CrossrefGoogle Scholar[4] A. M. Ostrowski, Solution of equations and systems of equations, Pure and Applied Mathematics, Vol. IX. Academic Press, New York-London , 1960ix+202 MR0127525 0115.11201 Google Scholar[5] Jochen W. Schmidt, Eine Übertragung der Regula Falsi auf Gleichungen in Banachräumen. I, Z. Angew. Math. Mech., 43 (1963), 1–8 MR0147930 0115.34002 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails A new approach for optimizing the mechanical behavior of porous microstructures for porous materials by design21 August 2007 | Modelling and Simulation in Materials Science and Engineering, Vol. 15, No. 6 Cross Ref Convergence Theorems for Least-Change Secant Update MethodsJ. E. Dennis, Jr. and Homer F. Walker17 July 2006 | SIAM Journal on Numerical Analysis, Vol. 18, No. 6AbstractPDF (3980 KB)Literatur Cross Ref Orders of Convergence for Iterative ProceduresRobert G. Voigt14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 8, No. 2AbstractPDF (1867 KB)BIBLIOGRAPHY Cross Ref On Steffensen–s MethodL. W. Johnson and D. R. Scholz3 August 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 2AbstractPDF (481 KB) Volume 3, Issue 1| 1966SIAM Journal on Numerical Analysis History Submitted:01 October 1964Accepted:03 September 1965Published online:14 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0703009Article page range:pp. 134-142ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics