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Zbl 1189.65093
Li, S.G.; Cheng, L.Z.; Neta, B.
Some fourth-order nonlinear solvers with closed formulae for multiple roots. (English)
[J] Comput. Math. Appl. 59, No. 1, 126-135 (2010). ISSN 0898-1221

Summary: 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.
MSC 2000:
*65H05 Single nonlinear equations (numerical methods)

Keywords: Newton's method; multiple roots; nonlinear equations; iterative methods; root finding

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