Some fourth-order nonlinear solvers with closed formulae for multiple roots

✍ Scribed by S.G. Li; L.Z. Cheng; B. Neta

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 602 KB
• Volume: 59
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2009.08.066

✦ Synopsis

a b s t r a c t

In this paper, we present six new fourth-order methods with closed formulae for finding multiple roots of nonlinear equations. The first four of them require one-function and three-derivative evaluation per iteration. The last two require one-function and twoderivative evaluation per iteration. Several numerical examples are given to show the performance of the presented methods compared with some known methods.