On a Steffensen-Hermite type method for approximating the solutions of nonlinear equations
Keywords:
nonlinear equations in \({\mathbb R}\), Steffensen and Aitken-Steffensen methods, inverse interpolatory polynomial of Hermite typeAbstract
It is well known that the Steffensen and Aitken-Steffensen type methods are obtained from the chord method, using controlled nodes. The chord method is an interpolatory method, with two distinct nodes. Using this remark, the Steffensen and Aitken-Steffensen methods have been generalized using interpolatory methods obtained from the inverse interpolation polynomial of Lagrange or Hermite type. In this paper we study the convergence and efficiency of some Steffensen type methods which are obtained from the inverse interpolatory polynomial of Hermite type with two controlled nodes.Downloads
Download data is not yet available.
Downloads
Published
2006-02-01
How to Cite
Păvăloiu, I. (2006). On a Steffensen-Hermite type method for approximating the solutions of nonlinear equations. Rev. Anal. Numér. Théor. Approx., 35(1), 87–94. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no1-art12
Issue
Section
Articles
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.