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Inertia of the matrix \([(p_i+p_j)^r]\) - MaRDI portal

Inertia of the matrix \([(p_i+p_j)^r]\) (Q2347239)

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Inertia of the matrix \([(p_i+p_j)^r]\)
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    Inertia of the matrix \([(p_i+p_j)^r]\) (English)
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    27 May 2015
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    This paper is devoted to the full characterization of the inertia of the matrix \([(p_i+p_j)^r]\), where \(p_1,\dots,p_r\) are distinct positive reals numbers and \(r\) is positive as well.
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    positive definite matrix
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    conditionally positive definite matrix
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    Sylvester's law
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    inertia
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    matrix monotone function
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    Cauchy matrix
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    Vandermonde matrix
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