On a modified secant method
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.
Goldner, G., Balazs, M., Asupra metodei coardei şi a unei modificări a ei pentru rezolvarea ecuaţiilor operaţionale neliniare în spaţii Banach, Stud. şi Cerc. Mat., 20, 7, 1968.
Potra, F.-A., The rate of convergence of a modified Newton's process. (Czech summary) With a loose Russian summary. Appl. Mat. 26 (1981), no. 1, 13-17, MR0602398.
Pták, Vlastimil, Nondiscrete mathematical induction and iterative existence proofs. Linear Algebra and Appl. 13 (1976), no. 3, 223-238, MR0394119, https://doi.org/10.1016/0024-3795(76)90098-7
Pták, Vlastimil, The rate of convergence of Newton's process. Numer. Math. 25 (1975/76), no. 3, 279-285, MR0478587, https://doi.org/10.1007/bf01399416
Pták, Vlastimil, What should be a rate of convergence? RAIRO Anal. Numér. 11 (1977), no. 3, 279-286, MR0474799, https://doi.org/10.1051/m2an/1977110302791
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
Schroder, J., Nichtlineare Majoraten beim Verfahren der schrittweissen Naherung, Arch. Math. (Basel) 7, 1957, 471-484, https://doi.org/10.1007/bf01899031
Sergeev, A. S., The method of chords. (Russian) Sibirsk. Mat. Ž. 2 1961 282-289, MR0130517.
Ul'm, S., Generalized divided differences. I, II. (Russian) Eesti NSV Tead. Akad. Toimetised Füüs.-Mat. 16 1967 13-26; 146-156, MR0215489.
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.