On the invariant for a family of deformed Halley methods. (Q1873646)

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scientific article; zbMATH DE number 1917037
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On the invariant for a family of deformed Halley methods.
scientific article; zbMATH DE number 1917037

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    On the invariant for a family of deformed Halley methods. (English)
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    2003
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    An invariant determined by a function used to guarantee the convergence of all members with \(l\leq k\) in the family of deformed Halley iterative methods for solving nonlinear equations in the complex field is presented. Results include some known ones as special cases.
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    deformed Halley methods
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    invariant
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    convergence
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    nonlinear equations
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    complex field
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