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Analysis of the Convergence of a Combined Method for the Solution of Nonlinear Equations

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We study the semilocal convergence of a combined method for the solution of nonlinear equations constructed on the basis of the Newton and secant methods and establish the order of convergence. We perform numerical experiments on test examples with nondifferentiable operators.

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Authors and Affiliations

  1. Ivan Franko Lviv National University, Lviv, Ukraine

    S. M. Shakhno, I. V. Мel’nyk & H. P. Yarmola

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  1. S. M. Shakhno
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  2. I. V. Мel’nyk
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  3. H. P. Yarmola
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 1, pp. 31–39, January–March, 2013.

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Shakhno, S.M., Мel’nyk, I.V. & Yarmola, H.P. Analysis of the Convergence of a Combined Method for the Solution of Nonlinear Equations. J Math Sci 201, 32–43 (2014). https://doi.org/10.1007/s10958-014-1971-3

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  • DOI: https://doi.org/10.1007/s10958-014-1971-3

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