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New iterations of R-order four with reduced computational cost

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Abstract

From a one-point iterative method of R-order at least three, we construct new two-point iterations to solve nonlinear equations in Banach spaces such that the computational cost is reduced, whereas the R-order of convergence is increased to at least four.

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Authors and Affiliations

  1. Department of Mathematics and Computation, University of La Rioja, C/ Luis de Ulloa s/n, 26004, Logroño, Spain

    J. A. Ezquerro & M. A. Hernández

Authors
  1. J. A. Ezquerro
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  2. M. A. Hernández
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Correspondence to J. A. Ezquerro.

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Communicated by Lothar Reichel.

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Ezquerro, J.A., Hernández, M.A. New iterations of R-order four with reduced computational cost. Bit Numer Math 49, 325–342 (2009). https://doi.org/10.1007/s10543-009-0226-z

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  • DOI: https://doi.org/10.1007/s10543-009-0226-z

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