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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Conjugate transpose ： ウィキペディア英語版 Conjugate transpose In mathematics, the conjugate transpose or Hermitian transpose of an ''m''-by-''n'' matrix ' with complex entries is the ''n''-by-''m'' matrix ' * obtained from ' by taking the transpose and then taking the complex conjugate of each entry (i.e., negating their imaginary parts but not their real parts). The conjugate transpose is formally defined by :$(\backslash boldsymbol^$ *)_ = \overline} where the subscripts denote the ''i'',''j''-th entry, for 1 ≤ ''i'' ≤ ''n'' and 1 ≤ ''j'' ≤ ''m'', and the overbar denotes a scalar complex conjugate. (The complex conjugate of $a\; +\; bi$, where ''a'' and ''b'' are reals, is $a\; -\; bi$.) This definition can also be written as :$\backslash boldsymbol^$ * = (\overline = \overline} where $\backslash boldsymbol^\backslash mathrm\; \backslash ,\backslash !$ denotes the transpose and $\backslash overline^$ * \,\! or $\backslash boldsymbol^\backslash mathrm\; \backslash ,\backslash !$, commonly used in linear algebra * $\backslash boldsymbol^\backslash dagger\; \backslash ,\backslash !$ (sometimes pronounced as "' dagger"), universally used in quantum mechanics * $\backslash boldsymbol^+\; \backslash ,\backslash !$, although this symbol is more commonly used for the Moore–Penrose pseudoinverse In some contexts, $\backslash boldsymbol^$ * \,\! denotes the matrix with complex conjugated entries, and the conjugate transpose is then denoted by $\backslash boldsymbol^^\; \backslash ,\backslash !$. ==Example== If : then :$\backslash boldsymbol^$ * = \begin 1 & 1-i \\ -2+i & -i\end 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「Conjugate transpose」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.