On the geometric construction of the Jarratt-Gander's class and its relationship with other methods

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  • Carlos Eduardo Cadenas R.1,
  1. Departamento of Matem\'atica, Facultad de Ciencias y Tecnolog\'ia, Universidad de Carabobo, Naguanagua, 2005, Venezuela. Centro Multidisciplinario de C\'omputo y Visualizaci\'on Cient\'ifica, Facultad de Ciencias y Tecnolog\'ia, Universidad de Carabobo, Naguanagua, 2005, Venezuela

Published in Issue 2025-11-09

How to Cite

On the geometric construction of the Jarratt-Gander’s class and its relationship with other methods. (2025). Communications in Nonlinear Analysis, 12(1). https://oiccpress.com/cna/article/view/17875

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Abstract

This paper establishes a geometric interpretation of the methods obtained from a two-point Jarratt-Gander type class and then these are compared with other kinds of methods to polynomial with two different roots. Finally, several numerical examples to observe the performance of the classic and new members of the families mentioned are presented.

Keywords

  • Nonlinear equations,
  • Third order,
  • Fourth order,
  • Two point methods,
  • Simple roots,
  • Multiple roots
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