翻訳と辞書 Words near each other ・ Eigenmannia ・ Eigenmannia goajira ・ Eigenmannia vicentespelaea ・ Eigenmannia virescens ・ Eigenmode expansion ・ EigenMoments ・ Eigenoperator ・ Eigenplane ・ Eigenpoll ・ Eigenspinor ・ Eigenstate thermalization hypothesis ・ Eigenstrain ・ Eigensystem realization algorithm ・ EigenTrust ・ Eigenvalue algorithm ・ Eigenvalue perturbation ・ Eigenvalues and eigenvectors ・ Eigenvalues and eigenvectors of the second derivative ・ Eigenvector slew ・ Eiger ・ Eiger (disambiguation) ・ Eiger Dreams ・ Eiger Glacier ・ Eiger IL ・ Eigergletscher railway station ・ Eigerjoch ・ Eigersund ・ Eigerwand railway station ・ Eigerøy Lighthouse ・ Eigerøya 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 Eigenvalue perturbation ： ウィキペディア英語版 Eigenvalue perturbation (詳細はeigenvectors and eigenvalues of a system that is perturbed from one with known eigenvectors and eigenvalues. This is useful for studying how sensitive the original system's eigenvectors and eigenvalues are to changes in the system. This type of analysis was popularized by Lord Rayleigh, in his investigation of harmonic vibrations of a string perturbed by small inhomogeneities. The derivations in this article are essentially self-contained and can be found in many texts on numerical linear algebra or numerical functional analysis. ==Example== Suppose we have solutions to the generalized eigenvalue problem, :$\backslash mathbf\_0\; \backslash mathbf\_\; =\; \backslash lambda\_\; \backslash mathbf\_0\; \backslash mathbf\_.\; \backslash qquad\; (0)$ where $\backslash mathbf\_0$ and $\backslash mathbf\_0$ are matrices. That is, we know the eigenvalues and eigenvectors for . Now suppose we want to change the matrices by a small amount. That is, we want to find the eigenvalues and eigenvectors of :$\backslash mathbf\; \backslash mathbf\_i\; =\; \backslash lambda\_i\; \backslash mathbf\; \backslash mathbf\_i\; \backslash qquad\; (1)$ where :$\backslash begin$ \mathbf &= \mathbf_0 + \delta \mathbf\\ \mathbf &= \mathbf_0 + \delta \mathbf \end with the perturbations $\backslash delta\backslash mathbf$ and $\backslash delta\backslash mathbf$ much smaller than $\backslash mathbf$ and $\backslash mathbf$ respectively. Then we expect the new eigenvalues and eigenvectors to be similar to the original, plus small perturbations: :$\backslash begin$ \lambda_i &= \lambda_+\delta\lambda_ \\ \mathbf_i &= \mathbf_ + \delta\mathbf_ \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「Eigenvalue perturbation」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.