Introduction to a family of Thukral k-order method for  finding multiple zeros of nonlinear equations

R Thukral

doi:10.24297/jam.v13i3.6146

Authors

R Thukral PadÃ© Research Centre, 39 Deanswood Hill, Leeds, West Yorkshire, LS17 5JS

DOI:

https://doi.org/10.24297/jam.v13i3.6146

Keywords:

Newton method, Schroder method, Thukral method, Nonlinear equations, Multiple roots, Order of convergence, Root-finding

Abstract

A new one-point k-order iterative method for finding zeros of nonlinear equations having unknown multiplicity is introduced. In terms of computational cost the new iterative method requires k+1 evaluations of functions per iteration. It is shown that the new iterative method has a convergence of order k.

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References

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