On convexity of polynomial paths and generalized majorizations (Q976710)

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scientific article; zbMATH DE number 5721455
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On convexity of polynomial paths and generalized majorizations
scientific article; zbMATH DE number 5721455

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    On convexity of polynomial paths and generalized majorizations (English)
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    16 June 2010
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    Summary: In this paper we give some useful combinatorial properties of polynomial paths. We also introduce generalized majorization between three sequences of integers and explore its combinatorics. In addition, we give a new, simple, purely polynomial proof of the convexity lemma of E. M. de Sà and R. C. Thompson. All these results have applications in matrix completion theory
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    matrix completion theory
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