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Unifying fourth-order family of iterative methods - MaRDI portal

Unifying fourth-order family of iterative methods (Q540272)

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scientific article; zbMATH DE number 5903387
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Unifying fourth-order family of iterative methods
scientific article; zbMATH DE number 5903387

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    Unifying fourth-order family of iterative methods (English)
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    1 June 2011
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    A new two-parameter family of fourth-order iterative methods for solving nonlinear scalar equations is developed and shown to include various known fourth-order methods as special cases. The methods require three evaluations during each iteration. Numerical tests confirm the convergence results.
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    convergence
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    Newton method
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    numerical examples
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    fourth-order iterative methods
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    nonlinear scalar equations
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