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• W1991750168 abstract "For a nonlinear equation f(x)=0 having a multiple root we consider Steffensen’s transformation, T. Using the transformation, say, Fq(x)=Tqf(x) for integer q≥2, repeatedly, we develop higher order iterative methods which require neither derivatives of f(x) nor the multiplicity of the root. It is proved that the convergence order of the proposed iterative method is 1+2q−2 for any equation having a multiple root of multiplicity m≥2. The efficiency of the new method is shown by the results for some numerical examples." @default.
• W1991750168 created "2016-06-24" @default.
• W1991750168 creator A5075681448 @default.
• W1991750168 date "2011-01-01" @default.
• W1991750168 modified "2023-10-18" @default.
• W1991750168 title "New higher order methods for solving nonlinear equations with multiple roots" @default.
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• W1991750168 doi "https://doi.org/10.1016/j.cam.2010.07.024" @default.
• W1991750168 hasPublicationYear "2011" @default.
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