翻訳と辞書 Words near each other ・ Matru Devo Bhava ・ Matru Ki Bijlee Ka Mandola ・ Matru Sewa Sangh ・ Matrubhoomi ・ Matruh ・ Matruh, Yemen ・ Matrix calculus ・ Matrix chain multiplication ・ Matrix Chambers ・ Matrix Chernoff bound ・ Matrix clock ・ Matrix code ・ Matrix coefficient ・ Matrix completion ・ Matrix congruence ・ Matrix consimilarity ・ Matrix decoder ・ Matrix decomposition ・ Matrix decomposition into clans ・ Matrix determinant lemma ・ Matrix difference equation ・ Matrix differential equation ・ Matrix digital rain ・ Matrix element ・ Matrix element (physics) ・ Matrix equivalence ・ Matrix exponential ・ Matrix Fitness Pro Cycling ・ Matrix function ・ Matrix Games 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 Matrix consimilarity ： ウィキペディア英語版 Matrix consimilarity In linear algebra, two ''n''-by-''n'' matrices ''A'' and ''B'' are called consimilar if :$A\; =\; S\; B\; \backslash bar^\; \backslash ,$ for some invertible $n\; \backslash times\; n$ matrix $S$, where $\backslash bar$ denotes the elementwise complex conjugation. So for real matrices similar by some real matrix $S$, consimilarity is the same as matrix similarity. Like ordinary similarity, consimilarity is an equivalence relation on the set of $n\; \backslash times\; n$ matrices, and it is reasonable to ask what properties it preserves. The theory of ordinary similarity arises as a result of studying linear transformations referred to different bases. Consimilarity arises as a result of studying antilinear transformations referred to different bases. A matrix is consimilar to itself, its complex conjugate, its transpose and its adjoint matrix. Every matrix is consimilar to a real matrix and to a Hermitian matrix. There is a standard form for the consimilarity class, analogous to the Jordan normal form. ==References== * * (sections 4.5 and 4.6 discuss consimilarity) 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「Matrix consimilarity」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.