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Extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial (Q1980752)

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scientific article; zbMATH DE number 7392814
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English
Extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial
scientific article; zbMATH DE number 7392814

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    Extreme points of the Vandermonde determinant on surfaces implicitly determined by a univariate polynomial (English)
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    8 September 2021
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    In this paper the optimization of the Vandermonde determinant on some surfaces defined by univariate polynomials is investigated. Applications in curve fitting and electrostatics are discussed. For the entire collection see [Zbl 1467.16001].
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    Vandermonde matrix
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    Vandermonde determinant
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    orthogonal polynomials
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    \(p\)-sphere
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    \(p\)-norm
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    \(d\)-optimal design
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    electrostatics
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