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A modified Newton-Jarratt’s composition

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Abstract

A reduced composition technique has been used on Newton and Jarratt’s methods in order to obtain an optimal relation between convergence order, functional evaluations and number of operations. Following this aim, a family of methods is obtained whose efficiency indices are proved to be better for systems of nonlinear equations.

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Authors and Affiliations

  1. Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain

    Alicia Cordero, José L. Hueso & Juan R. Torregrosa

  2. Instituto de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, Camino de Vera, s/n, 46022, Valencia, Spain

    Eulalia Martínez

Authors
  1. Alicia Cordero
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  2. José L. Hueso
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  3. Eulalia Martínez
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  4. Juan R. Torregrosa
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Corresponding author

Correspondence to Alicia Cordero.

Additional information

This research was supported by Ministerio de Ciencia y Tecnología MTM2007-64477.

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Cordero, A., Hueso, J.L., Martínez, E. et al. A modified Newton-Jarratt’s composition. Numer Algor 55, 87–99 (2010). https://doi.org/10.1007/s11075-009-9359-z

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  • DOI: https://doi.org/10.1007/s11075-009-9359-z

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