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Multivariate polynomial perturbations of algebraic equations - MaRDI portal

Multivariate polynomial perturbations of algebraic equations (Q982585)

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scientific article; zbMATH DE number 5731678
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Multivariate polynomial perturbations of algebraic equations
scientific article; zbMATH DE number 5731678

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    Multivariate polynomial perturbations of algebraic equations (English)
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    7 July 2010
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    The authors study multivariate perturbations of algebraic equations. They give a sufficient condition for the existence of a Puiseux-type expansion for the perturbated solution that converges in a whole neighborhood of the origin. They apply their result to the perturbation analysis of the ``weighted Page Rank'', which is a frequently used measure for web pages popularity.
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    algebraic equations
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    multivariate perturbation
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    Newton polygon
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    weighted pagerank
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