@article{(Open Science Index):https://publications.waset.org/pdf/9997210, title = {On Constructing a Cubically Convergent Numerical Method for Multiple Roots}, author = {Young Hee Geum}, country = {}, institution = {}, abstract = {We propose the numerical method defined by xn+1 = xn − λ[f(xn − μh(xn))/]f'(xn) , n ∈ N, and determine the control parameter λ and μ to converge cubically. In addition, we derive the asymptotic error constant. Applying this proposed scheme to various test functions, numerical results show a good agreement with the theory analyzed in this paper and are proven using Mathematica with its high-precision computability. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {8}, number = {1}, year = {2014}, pages = {34 - 37}, ee = {https://publications.waset.org/pdf/9997210}, url = {https://publications.waset.org/vol/85}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 85, 2014}, }