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New three- and four-parametric iterative with memory methods with efficiency index near 2

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  • Lotfi, Taher
  • Assari, Paria

Abstract

In this work, we develop two new with memory methods. They have three and four parameters. We approximate these parameters and increase the convergence order to 15 and 15.5156, respectively, convergence analysis along with numerical illustrations are provided to justify and accomplish theoretical and practical aspects of the proposed methods.

Suggested Citation

  • Lotfi, Taher & Assari, Paria, 2015. "New three- and four-parametric iterative with memory methods with efficiency index near 2," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 1004-1010.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:1004-1010
    DOI: 10.1016/j.amc.2015.08.017
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    References listed on IDEAS

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    1. Cordero, A. & Ezquerro, J.A. & Hernández-Verón, M.A. & Torregrosa, J.R., 2015. "On the local convergence of a fifth-order iterative method in Banach spaces," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 396-403.
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    Cited by:

    1. Xiaofeng Wang & Qiannan Fan, 2020. "A Modified Ren’s Method with Memory Using a Simple Self-Accelerating Parameter," Mathematics, MDPI, vol. 8(4), pages 1-12, April.
    2. Xiaofeng Wang & Mingming Zhu, 2020. "Two Iterative Methods with Memory Constructed by the Method of Inverse Interpolation and Their Dynamics," Mathematics, MDPI, vol. 8(7), pages 1-12, July.

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