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Bi-parametric Family of Methods with Memory Based of Ostrowski-Chun Method

  • Alicia Cordero
  • Javier G. Maimó
  • Juan R. Torregrosa
  • Maria P. VassilevaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11386)

Abstract

In this work, we design a family of new iterative methods with memory, using some known schemes without memory keeping or increasing its order of convergence. As starting point we use the Ostrowski-Chum bi-parametric family of methods without memory, to design a new bi-parametric family of methods with memory, increasing the original order of convergence without adding new functional evaluations.

Keywords

Nonlinear equation Multipoint iterative method Divided differences Method with memory Stability 

Notes

Acknowledgments

This research was partially supported by Ministerio de Economia y Competitividad under grants MTM2014-52016-C2-2-P, Generalitat Valenciana PROMETEO/2016/089 and FONDOCYT, Dominican Republic.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto Universitario de Matemática MultidisciplinarUniversitat Politècnica de ValènciaValènciaSpain
  2. 2.Instituto Tecnológico de Santo Domingo, (INTEC)Santo DomingoDominican Republic

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