A Fourth-Order Iterative Formula Based on Thiele's Continued Fraction for Root-Finding Problems
首发时间:2010-12-24
Abstract:In this paper, we present a new one-step iterative method based on Thiele's continued fraction for solving non-linear equations. By applying the truncated Thiele's continued fraction twice, the iterative method is obtained. Analysis of convergence shows that the new method is fourth-order convergent. Numerical tests verifying the theory are given and based on the method, a new one-step iteration is developed.
keywords: iterative method continued fraction convergent order
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No.4398969558659129****
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