%0 Journal Article %A Young Hee Geum %D 2014 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 85, 2014 %T On Constructing a Cubically Convergent Numerical Method for Multiple Roots %U https://publications.waset.org/pdf/9997210 %V 85 %X 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. %P 34 - 37