%0 Journal Article
	%A Shengfeng Li and  Rujing Wang
	%D 2011
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 60, 2011
	%T Two Fourth-order Iterative Methods Based on Continued Fraction for Root-finding Problems
	%U https://publications.waset.org/pdf/1449
	%V 60
	%X 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.
	%P 1973 - 1976