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Kou, Jisheng; Wang, Xiuhua

Sixth-order variants of Chebyshev-Halley methods for solving non-linear equations. (English) Zbl 1122.65339

Appl. Math. Comput. 190, No. 2, 1839-1843 (2007).
Summary: We present a family of new variants of Chebyshev-Halley methods with sixth-order convergence. Compared with Chebyshev-Halley methods, the new methods require one additional evaluation of the function. The numerical results presented show that the new methods compete with Chebyshev-Halley methods.

Cited in 1 Review
Cited in 7 Documents

MSC:

65H05 Numerical computation of solutions to single equations

Keywords:

Chebyshev-Halley methods; Newton’s method; non-linear equations; iterative method; root-finding; sixth-order convergence; numerical results
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\textit{J. Kou} and \textit{X. Wang}, Appl. Math. Comput. 190, No. 2, 1839--1843 (2007; Zbl 1122.65339)
Full Text: DOI

References:

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