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Zbl 1173.65030
Bi, Weihong; Wu, Qingbiao; Ren, Hongmin
A new family of eighth-order iterative methods for solving nonlinear equations. (English)
[J] Appl. Math. Comput. 214, No. 1, 236-245 (2009). ISSN 0096-3003

A new family of iterative methods for the numerical solution of nonlinear equations is constructed an analyzed. All methods in the family show eigth-order convergence and use four evaluations. The family agrees with the Kung-Traub conjecture. Numerical comparisons are presented.
[Thomas Sonar (Braunschweig)]
MSC 2000:
*65H05 Single nonlinear equations (numerical methods)

Keywords: nonlinear equations; iterative methods; Newton's method; King's methods; eigth-order convergence; Kung-Traub conjecture; numerical comparisons

Cited in: Zbl 1205.65175 Zbl 1190.65081

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