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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 Fundamental matrix (linear differential equation) ： ウィキペディア英語版 Fundamental matrix (linear differential equation) In mathematics, a fundamental matrix of a system of ''n'' homogeneous linear ordinary differential equations : $\backslash dot(t)$ is a matrix-valued function $\backslash Psi(t)$ whose columns are linearly independent solutions of the system. Then the general solution to the system can be written as $\backslash mathbf\; =\; \backslash Psi(t)\; \backslash mathbf$, where $\backslash mathbf$ ranges over constant vectors (written as column vectors of height ''n''). One can show that a matrix-valued function $\backslash Psi$ is a fundamental matrix of $\backslash dot(t)$ if and only if $\backslash dot(t)\; =\; A(t)\; \backslash Psi(t)$ and $\backslash Psi$ is a non-singular matrix for all $t$. ==Control theory== The fundamental matrix is used to express the state-transition matrix, an essential component in the solution of a system of linear ordinary differential equations. 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「Fundamental matrix (linear differential equation)」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.