@article{(Open Science Index):https://publications.waset.org/pdf/1449, title = {Two Fourth-order Iterative Methods Based on Continued Fraction for Root-finding Problems}, author = {Shengfeng Li and Rujing Wang}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {5}, number = {12}, year = {2011}, pages = {1973 - 1976}, ee = {https://publications.waset.org/pdf/1449}, url = {https://publications.waset.org/vol/60}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 60, 2011}, }