TY - JFULL AU - Shengfeng Li and Rujing Wang PY - 2011/1/ TI - Two Fourth-order Iterative Methods Based on Continued Fraction for Root-finding Problems T2 - International Journal of Mathematical and Computational Sciences SP - 1972 EP - 1976 VL - 5 SN - 1307-6892 UR - https://publications.waset.org/pdf/1449 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 60, 2011 N2 - In this paper, we present two new one-step iterative methods based on Thiele-s continued fraction for solving nonlinear equations. By applying the truncated Thiele-s continued fraction twice, the iterative methods are obtained respectively. Analysis of convergence shows that the new methods are fourth-order convergent. Numerical tests verifying the theory are given and based on the methods, two new one-step iterations are developed. ER -