On Chebyshev-Halley methods with sixth-order convergence for solving non-linear equations. (English) Zbl 1122.65334

Summary: We present a family of new variants of Chebyshev-Halley methods. The new methods have sixth-order convergence although they only add one evaluation of the function at the point iterated by Chebyshev-Halley methods. The numerical results presented show that the new methods work better not only in order but in efficiency.


65H05 Numerical computation of solutions to single equations
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