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A super-fast tri-parametric iterative method with memory

Author

Listed:
  • Ullah, M. Zaka
  • Kosari, S.
  • Soleymani, F.
  • Haghani, F. Khaksar
  • S. Al-Fhaid, A.

Abstract

For the first time, a tri-parametric method with memory for solving nonlinear equations is constructed at which a super-fast convergence rate is achieved by using only three functional evaluations. Subsequently, a very high computational efficiency index (nearly 2) is attained. Finally, to support the theory, some numerical experiments are reported.

Suggested Citation

  • Ullah, M. Zaka & Kosari, S. & Soleymani, F. & Haghani, F. Khaksar & S. Al-Fhaid, A., 2016. "A super-fast tri-parametric iterative method with memory," Applied Mathematics and Computation, Elsevier, vol. 289(C), pages 486-491.
    • Handle: RePEc:eee:apmaco:v:289:y:2016:i:c:p:486-491
    DOI: 10.1016/j.amc.2016.05.029
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    References listed on IDEAS

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    1. Geum, Young Hee & Kim, Young Ik & Neta, Beny, 2015. "On developing a higher-order family of double-Newton methods with a bivariate weighting function," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 277-290.
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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.

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