New iterations of R-order four with reduced computational cost

  1. Ezquerro, J.A. 1
  2. Hernández, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Journal:
BIT (Nordisk Tidskrift for Informationsbehandling)

ISSN: 0006-3835

Year of publication: 2009

Volume: 49

Issue: 2

Pages: 325-342

Type: Article

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DOI: 10.1007/S10543-009-0226-Z SCOPUS: 2-s2.0-67349203308 WoS: WOS:000266646300005 GOOGLE SCHOLAR

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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. © 2009 Springer Science + Business Media B.V.