METODE CHEBYSHEV-HALLEY DENGAN KEKONVERGENAN ORDE DELAPAN UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR
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Date
2017-01-09
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Abstract
This article discusses a new iterative method obtained by combination Cheby
shev-Halley method and Newton method. Analytically it is showed that the
method at least sixth order convergence and its efficiency index is 1.682. Computational
results support the analytic results. Furthermore, computational
results show that the method is faster in determining a root of the considered
nonlinear equation compared with Newton, Chebyshev and Halley method.
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Keywords
Chebyshev-Halley method, iterative method, Newton method, order of convergence, efficiency index