A characterisation of the divided differences of an operator which can be represented by Riemann integrals
Abstract
Not available.Downloads
References
Balázs, M., Goldner, G., On existence of divided differences in linear spaces. Rev. Anal. Numér. Théorie Approximation 2 (1973), 5-9, MR0378398.
Balázs, M., Goldner, G., Observations on divided differences and on the method of chords. (Romanian) Rev. Anal. Numer. Teoria Aproximaţiei 3 (1974), no. 1, 19-30 (1975), MR0381292.
Johnson, L. W., Scholz, D., R. On Steffensen's method. SIAM J. Numer. Anal. 5 1968 296-302, MR0228150, https://www.jstor.org/stable/2949443?seq=1
Laasonen, Pentti, Ein überquadratisch konvergenter iterativer Algorithmus. (German) Ann. Acad. Sci. Fenn. Ser. A I No. 450 1969 10 pp., MR0255047, https://doi.org/10.5186/aasfm.1969.450
Potra, F. A., On a modified secant method. Anal. Numér. Théor. Approx. 8 (1979), no. 2, 203-214, MR0573981.
Potra, Florian-Alexandru, An application of the induction method of V. Pták to the study of regula falsi. (Czech summary) With a loose Russian summary. Apl. Mat. 26 (1981), no. 2, 111-120, MR0612668.
Potra, F.A., An application of the induction method of V. Pták to the study of Regula Falsi. Preprint INCREST no.11/1979 - in revista
Schmidt, Jochen W., Eine Übertragung der Regula Falsi auf Gleichungen in Banachräumen. II. Nichtlineare Gleichungssysteme. (German) Z. Angew. Math. Mech. 43 1963 97-110, MR0150621, https://doi.org/10.1002/zamm.19630430302
Schröder, J., Nichlineare Majoraten bein Verfahren der Schrittweisen Näherung. Arch. Math. (Basel), 7, 471-484, 1956, https://doi.org/10.1007/bf01899031
Belostoţkiĭ - (in Russian).
Sergeev, A. S., The method of chords. (Russian) Sibirsk. Mat. Ž. 2 1961 282-289, MR0130517.
Ulm, S. Ju., Iteration methods with second-order divided differences. (Russian) Dokl. Akad. Nauk SSSR 158 1964 56-58, MR0182151.
Ul'm, S. Ju. A generalization of Steffensen's method for solving non-linear operator equations. (Russian) Ž. Vyčisl. Mat. i Mat. Fiz. 4 1964 1093-1097, MR0173367.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory
This work is licensed under a Creative Commons Attribution 4.0 International License.
Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.