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Interpolatory multipoint methods with memory for solving nonlinear equations
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DOI：10.1016/j.amc.2011.07.068.png)
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Abstract
En 中文
A general way to construct multipoint methods for solving nonlinear equations by using inverse interpolation is presented. The proposed methods belong to the class of multipoint methods with memory. In particular, a new two-point method with memory with the order (5 + root 17)/2 approximate to 4.562 is derived. Computational efficiency of the presented methods is analyzed and their comparison with existing methods with and without memory is performed on numerical examples. It is shown that a special choice of initial approximations provides a considerably great accuracy of root approximations obtained by the proposed interpolatory iterative methods. (C) 2011 Elsevier Inc. All rights reserved.
Keywords:
Nonlinear equations
Multipoint methods
Inverse interpolation
Convergence
Computational efficiency
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