A note on Hadamard's inequality
學年 85
學期 2
出版（發表）日期 1997-03-01
作品名稱 A note on Hadamard's inequality
作品名稱（其他語言）
著者 楊國勝 ; Hong, Min-chung
單位 淡江大學數學學系
出版者 淡江大學數學學系
著錄名稱、卷期、頁數 Tamkang Journal of Mathematics = 淡江數學 28(1), pp.33-37
摘要 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.
關鍵字 Hadamard's Inequaliny;F -matrices;permanents;diagonals
語言 en_US
ISSN 0049-2930
期刊性質 國內
收錄於
產學合作
通訊作者
審稿制度 否
國別 TWN
公開徵稿
出版型式 ,紙本
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