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Improving the order of convergence of iteration functions. (English) Zbl 0935.65052
Summary: Improving methods for the order of convergence of iteration functions are given. Using these methods new third- or fourth-order root-finding methods for a single equation with a multiple root are derived. Numerical examples are given.

##### MSC:
 65H05 Numerical computation of solutions to single equations 65E05 General theory of numerical methods in complex analysis (potential theory, etc.)
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##### References:
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