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

Authors:
S. G. Li;L. Z. Cheng;B. Neta
Affiliations:
School of Science, National University of Defense Technology, Changsha, 410073, China;School of Science, National University of Defense Technology, Changsha, 410073, China;School of Science, National University of Defense Technology, Changsha, 410073, China
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 3
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Abstract

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 two-derivative evaluation per iteration. Several numerical examples are given to show the performance of the presented methods compared with some known methods.