On some Aitken-Steffensen-Halley-type methods for approximating the roots of scalar equations

Ion Păvăloiu

doi:10.33993/jnaat302-697

Authors

Ion Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Romania

DOI:

https://doi.org/10.33993/jnaat302-697

Abstract views: 208

Abstract

In this note we extend the Aitken-Steffensen method to the Halley transformation. Under some rather simple assumptions we obtain error bounds for each iteration step; moreover, the convergence order of the iterates is 3, i.e. higher than for the Aitken-Steffensen case.

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References

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