翻訳と辞書 Words near each other ・ Lehmann's poison frog ・ Lehmann-Garten ・ Lehmannia ・ Lehmannia macroflagellata ・ Lehmannia marginata ・ Lehmannia melitensis ・ Lehmannia nyctelia ・ Lehmann–Scheffé theorem ・ Lehmanotus ・ Lehmber Hussainpuri ・ Lehmbruck ・ Lehmbruck Museum ・ Lehmen ・ Lehmer ・ Lehmer code ・ Lehmer matrix ・ Lehmer mean ・ Lehmer number ・ Lehmer random number generator ・ Lehmer sieve ・ Lehmer's conjecture ・ Lehmer's GCD algorithm ・ Lehmer's totient problem ・ Lehmer–Schur algorithm ・ Lehmja ・ Lehmkuhl ・ Lehmkuhlen ・ Lehmo ・ Lehmon Colbert ・ Lehmon Pallo -77 Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Lehmer matrix ： ウィキペディア英語版 Lehmer matrix In mathematics, particularly matrix theory, the ''n×n'' Lehmer matrix (named after Derrick Henry Lehmer) is the constant symmetric matrix defined by :$A\_\; =$ \begin i/j, & j\ge i \\ j/i, & j\end Alternatively, this may be written as :$A\_\; =\; \backslash frac.$ ==Properties== As can be seen in the examples section, if ''A'' is an ''n×n'' Lehmer matrix and ''B'' is an ''m×m'' Lehmer matrix, then ''A'' is a submatrix of ''B'' whenever ''m''>''n''. The values of elements diminish toward zero away from the diagonal, where all elements have value 1. Interestingly, the inverse of a Lehmer matrix is a tridiagonal matrix, where the superdiagonal and subdiagonal have strictly negative entries. Consider again the ''n×n'' ''A'' and ''m×m'' ''B'' Lehmer matrices, where ''m''>''n''. A rather peculiar property of their inverses is that ''A−1'' is ''nearly'' a submatrix of ''B−1'', except for the ''An,n'' element, which is not equal to ''Bm,m''. A Lehmer matrix of order ''n'' has trace ''n''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Lehmer matrix」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.