A note on Hadamard's inequality | |
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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 |
相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41535 ) |