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

Ioannis K. Argyros, Chirstopher Argyros, Michael Argyros, Johan Ceballos and Daniel González ()
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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

Mathematics, 2022, vol. 10, issue 19, 1-9

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.

Keywords: multi-step scheme; Jarratt scheme; Banach space; local convergence; derivative-free (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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