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Majorizations and inequalities in matrix theory - MaRDI portal

Majorizations and inequalities in matrix theory (Q1322858)

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scientific article; zbMATH DE number 566090
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Majorizations and inequalities in matrix theory
scientific article; zbMATH DE number 566090

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    Majorizations and inequalities in matrix theory (English)
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    6 November 1994
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    This article is an excellent survey of results related to majorization in matrix theory since the appearance of the book ``Inequalities: theory of majorization and its applications'' (1979; Zbl 0437.26007) by \textit{A. W. Marshall} and \textit{I. Olkin}. This survey consists of eight sections: 1) Majorization for sequences, 2) Majorization for matrices, 3) Matrix means, 4) Matrix inequalities, 5) Log majorization, 6) Spectral perturbation, 7) Hadamard products and 8) Majorizations in von Neumann algebras. A great number of recent references are also given.
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    survey article
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    matrix means
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    matrix inequalities
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    log majorization
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    spectral perturbation
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    majorization
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    Hadamard products
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    von Neumann algebras
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