India
Review Article
Local Convergence for a Regula Falsi-Type Method under Weak Convergence
Author(s): Argyros IK and George SArgyros IK and George S
We present a local convergence analysis for a regula falsi-type method for solving nonlinear equations. In the earlier studies such as hypotheses on the second derivative have been used to show convergence of this method. In this paper we show convergence under hypotheses only on the first derivative. Moreover, we provide a radius of convergence and computable error bounds on the distances involved. Numerical examples are also given in this study.
.. Read More»
DOI:
10.4172/2168-9679.1000217
Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report