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Third-order Halley-type iterative method with positive and bounded correction function

Mukasa, Hirai
arXiv (All) · Papers
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In this paper, we propose a new one-point iterative method for finding simple roots of nonlinear equations by modifying Halley's method. Its correction function is positive and bounded on $\mathbb{R}$ and matches the local expansion of Halley's correction function near a simple root. The method avoi
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