@article{(Open Science Index):https://publications.waset.org/pdf/2678, title = {A New Iterative Method for Solving Nonlinear Equations}, author = {Ibrahim Abu-Alshaikh}, country = {}, institution = {}, abstract = {In this study, a new root-finding method for solving nonlinear equations is proposed. This method requires two starting values that do not necessarily bracketing a root. However, when the starting values are selected to be close to a root, the proposed method converges to the root quicker than the secant method. Another advantage over all iterative methods is that; the proposed method usually converges to two distinct roots when the given function has more than one root, that is, the odd iterations of this new technique converge to a root and the even iterations converge to another root. Some numerical examples, including a sine-polynomial equation, are solved by using the proposed method and compared with results obtained by the secant method; perfect agreements are found. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {1}, number = {5}, year = {2007}, pages = {247 - 250}, ee = {https://publications.waset.org/pdf/2678}, url = {https://publications.waset.org/vol/5}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 5, 2007}, }