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Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems

Author

Listed:
  • Ioannis K. Argyros

    (Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA)

  • Chirstopher Argyros

    (Department of Computing and Technology, Cameron University, Lawton, OK 73505, USA)

  • Michael Argyros

    (Department of Computer Science, University of Oklahoma, Norman, OK 73071, USA)

  • Johan Ceballos

    (Facultad de Ingeniería y Ciencias Aplicadas, Universidad de Las Américas, Quito 170124, Ecuador)

  • Daniel González

    (Facultad de Ingeniería y Ciencias Aplicadas, Universidad de Las Américas, Quito 170124, Ecuador)

Abstract

The local convergence analysis of multi-step, high-order Jarratt-like schemes is extended for solving Banach space valued systems of equations using the derivative instead of up to the ninth derivative as in previous works. Our idea expands the usage of the scheme in cases not considered earlier and can also be utilized in other schemes, too. Experiments test the theoretical results.

Suggested Citation

  • Ioannis K. Argyros & Chirstopher Argyros & Michael Argyros & Johan Ceballos & Daniel González, 2022. "Extended Multi-Step Jarratt-like Schemes of High Order for Equations and Systems," Mathematics, MDPI, vol. 10(19), pages 1-9, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3603-:d:931836
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    References listed on IDEAS

    as
    1. Cristina Amorós & Ioannis K. Argyros & Daniel González & Ángel Alberto Magreñán & Samundra Regmi & Íñigo Sarría, 2020. "New Improvement of the Domain of Parameters for Newton’s Method," Mathematics, MDPI, vol. 8(1), pages 1-12, January.
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