Extended convergence analysis of Newton-Potra solver for equations





nonlinear equation, nondifferentiable operator, local and semi-local convergence, order of convergence, divided difference


In the paper a local and a semi-local convergence of combined iterative process for solving nonlinear operator equations is investigated. This solver is built based on Newton solver and has R-convergence order 1.839.... The radius of the convergence ball and convergence order of the investigated solver are determined in an earlier paper. Modifications of previous conditions leads to extended convergence domain. These advantages are obtained under the same computational effort.

Numerical experiments are carried out on the test examples with nondifferentiable operator.


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How to Cite

Argyros, I., Shakhno, S. M., Shunkin, Y., & Yarmola, H. (2020). Extended convergence analysis of Newton-Potra solver for equations. J. Numer. Anal. Approx. Theory, 49(2), 100–112. https://doi.org/10.33993/jnaat492-1186