Bilateral approximations of the roots of scalar equations by Lagrange-Aitken-Steffensen method of order three

Ion Păvăloiu

doi:10.33993/jnaat352-843

Authors

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

DOI:

https://doi.org/10.33993/jnaat352-843

Keywords:

Aitken-Steffenssen methods, Lagrange inverse interpolation

Abstract views: 267

Abstract

We study the monotone convergence of two general methods of Aitken-Steffenssen type. These methods are obtained from the Lagrange inverse interpolation polynomial of degree two, having controlled nodes. The obtained results provide information on controlling the errors at each iteration step.

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References

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