淡江大學機構典藏:Item 987654321/41535
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41535


    Title: A note on Hadamard's inequality
    Authors: 楊國勝;Hong, Min-chung
    Contributors: 淡江大學數學學系
    Keywords: Hadamard's Inequaliny;F -matrices;permanents;diagonals
    Date: 1997-03
    Issue Date: 2010-01-28 07:46:56 (UTC+8)
    Publisher: 淡江大學數學學系
    Abstract: In this paper, we investigate a class of matrices, called F-matrices, which contains symmetric positive semidefinite matrices, totally nonnegative matrices, T-matrices and M-matrices. We establish some ineqalities that are improvement of Hadamard's inequality for F-matrices. We prove that det A = a 11… ann if and only if any diagonal line except the main diagonal line of A has at least a zero. And we characterize an F-matrix A satisfying det A = a11… ann by the pattern of zero of A. Our results generalize the known results on Hadamard's Inequality.
    Relation: Tamkang Journal of Mathematics = 淡江數學 28(1), pp.33-37
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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