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• W3010481644 abstract "Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, and engineering, to mention a few, reduces to solving an equation. Its solution is one of the greatest challenges. It involves some iterative method generating a sequence approximating the solution. That is why, in this work, we analyze the convergence in a local form for an iterative method with a high order to find the solution of a nonlinear equation. We extend the applicability of previous results using only the first derivative that actually appears in the method. This is in contrast to either works using a derivative higher than one, or ones not in this method. Moreover, we consider the dynamics of some members of the family in order to see the existing differences between them." @default.
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• W3010481644 date "2020-03-05" @default.
• W3010481644 modified "2023-10-02" @default.
• W3010481644 title "Convergence and Dynamics of a Higher-Order Method" @default.
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• W3010481644 doi "https://doi.org/10.3390/sym12030420" @default.
• W3010481644 hasPublicationYear "2020" @default.
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