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Author: search.filters.author.Hemchote, PatcharinHas files: No

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    Inequalities for Kronecker products and Hadamard products of positive definite matrices
    (2009-01-01)
    Chansangiam, Pattrawut
    ;
    Hemchote, Patcharin
    ;
    Pantaragphong, Praiboon
    The purpose of this paper is to develop inequalities for Kronecker products and Hadamard products of positive definite matrices. A number of inequalities involving powers, Kronecker powers, and Hadamard powers of linear combination of matrices are presented. In particular, Hölder inequalities and arithmetic mean-geometric mean inequalities for Kronecker products and Hadamard products are obtained as special cases.
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    The matrix analog of the Kneser-Süss inequality
    (2006-07-01)
    Pranayanuntana, Poramate
    ;
    Hemchote, Patcharin
    ;
    Pantaragphong, Praiboon
    The Brunn-Minkowski theory is a core part of convex geometry. At its foundation lies the Minkowski addition of convex bodies which led to the definition of mixed volume of convex bodies and to various notions and inequalities in convex geometry. Various matrix analogs of these notions and inequalities have been well known for a century. We present a few new analogs. The major theorem presented here is the matrix analog of the Kneser-Süss inequality.