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On extraneous fixed-points of the basic family of iteration functions - MaRDI portal

On extraneous fixed-points of the basic family of iteration functions (Q1415412)

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scientific article; zbMATH DE number 2012836
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On extraneous fixed-points of the basic family of iteration functions
scientific article; zbMATH DE number 2012836

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    On extraneous fixed-points of the basic family of iteration functions (English)
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    4 December 2003
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    The authors prove that all extraneous fixed-points of any memebr of an infinite family of iteration functions are repulsive. It should be noted that the basic family is a fundamental family with several different representations. Several special cases are discussed.
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    fixed-points
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    basic family of iteration functions
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    Newton' method
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