A unified treatment of the modified Newton and chord methods

Ion Păvăloiu
(original), ISI/JCR, iterative methods, Newton method, nonlinear equations in R, Numerical Analysis, paper, secant/chord method

Abstract

The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions for which a given equation admits a unique solution in a certain ball. The main obtained result refers to the convergence of the modified chord method.

Authors

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

Keywords

References

PDF

Scanned paper (soon).

LaTeX-PDF version of the paper.

About this paper

Cite this paper as:

I. Păvăloiu, A unified treatment of the modified Newton and chord methods, Carpathian J. Math. 25 (2009) no. 2, pp. 192-196.

Journal

Carpathian Journal of Mathematics

Publisher Name

Universitatea Tehnica din Cluj-Napoca

JSTOR permalink

http://www.jstor.org/stable/43997643

Print ISSN

1584-2851

Online ISSN

1843-4401

Google Scholar Profile

Related Posts