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• W2912054437 abstract "Finding a simple root for a nonlinear equation f ( x ) = 0 , f : I ⊆ R → R has always been of much interest due to its wide applications in many fields of science and engineering. Newton’s method is usually applied to solve this kind of problems. In this paper, for such problems, we present a family of optimal derivative-free root finding methods of arbitrary high order based on inverse interpolation and modify it by using a transformation of first order derivative. Convergence analysis of the modified methods confirms that the optimal order of convergence is preserved according to the Kung-Traub conjecture. To examine the effectiveness and significance of the newly developed methods numerically, several nonlinear equations including the van der Waals equation are tested." @default.
• W2912054437 created "2019-02-21" @default.
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• W2912054437 date "2019-02-12" @default.
• W2912054437 modified "2023-10-02" @default.
• W2912054437 title "Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation" @default.
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• W2912054437 doi "https://doi.org/10.3390/math7020164" @default.
• W2912054437 hasPublicationYear "2019" @default.
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