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A uniformly convergent quadratic method for nonlinear equations

A uniformly convergent quadratic method for nonlinear equations

Abstract

In this article, we introduce a new Steffensen-type method with the advantage that its behavior is very similar to Newton’s method; therefore, it can be used as an alternative to Newton’s method. The method is uniformly convergent and has a high order of convergence. It can be used to find the roots of nonlinear equations with high accuracy. The method is also easy to implement and requires less computational effort compared to other methods. The results of the numerical experiments show that the method is efficient and reliable.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average