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A Note on Traub’s Method for Systems of Nonlinear Equations

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  • Beny Neta

    (Department of Applied Mathematics, Naval Postgraduate School, Monterey, CA 93943, USA)

Abstract

Traub’s method was extended here to systems of nonlinear equations and compared to Steffensen’s method. Even though Traub’s method is only of order 1.839 and not quadratic, it performed better in the 10 examples.

Suggested Citation

  • Beny Neta, 2021. "A Note on Traub’s Method for Systems of Nonlinear Equations," Mathematics, MDPI, vol. 9(23), pages 1-8, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3073-:d:690882
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    References listed on IDEAS

    as
    1. Narang, Mona & Bhatia, Saurabh & Kanwar, V., 2016. "New two-parameter Chebyshev–Halley-like family of fourth and sixth-order methods for systems of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 394-403.
    2. Alicia Cordero & Fazlollah Soleymani & Juan R. Torregrosa & Stanford Shateyi, 2014. "Basins of Attraction for Various Steffensen-Type Methods," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-17, March.
    3. Behl, Ramandeep & Cordero, Alicia & Motsa, Sandile S. & Torregrosa, Juan R., 2017. "Stable high-order iterative methods for solving nonlinear models," Applied Mathematics and Computation, Elsevier, vol. 303(C), pages 70-88.
    4. Sharma, Janak Raj & Sharma, Rajni & Kalra, Nitin, 2015. "A novel family of composite Newton–Traub methods for solving systems of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 520-535.
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