Some new root-finding methods with eighth-order convergence

Jisheng Kou*, Xiuhua Wang, Shuyu Sun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Some new eighth-order iterative methods are obtained by choosing the proper parameters in the general formula with some parameters. Besides, as intermediate results, we get also different families of methods with convergence order five, six and seven. Numerical tests show the superiority of the new eighth-order methods.

Original languageEnglish (US)
Pages (from-to)133-143
Number of pages11
JournalBulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume53
Issue number2
StatePublished - Jun 30 2010

Keywords

  • Efficiency
  • Iterative method
  • Non-linear equations
  • Ostrowski's method
  • Root-finding

ASJC Scopus subject areas

  • Mathematics(all)

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