A correction note on "New iterative schemes for nonlinear equations"
arXiv:1303.1673h-index: 37
Originality Synthesis-oriented
AI Analysis
It corrects an error in the literature for researchers relying on the convergence properties of iterative methods for nonlinear equations.
This note corrects a claim in Noor (2007) by showing that Algorithm 2.4 is not cubically convergent, contrary to the original proof.
In Noor (2007)[Muhammad Aslam Noor, New iterative schemes for nonlinear equations, Appl. Math. Comput. 187 (2007) 937-943], proposed an algorithm namely \textbf{Algorithm 2.4} and established a proof to show cubic convergence. The presented proof is wrong. In this article, we show that \textbf{Algorithm 2.4} is not cubically convergent.