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タイトルNumerical methods for evaluating the derivatives of eigenvalues and eigenvectors
著者(英)Chu, Y.-Y.; Rudisill, C. S.
発行日1975-06-01
言語eng
内容記述Two numerical methods are presented for computing the derivatives of eigenvalues and eigenvectors which do not require complete solution of the eigenvalue problem if only a few derivatives are sought. The 'iterative' method may be used to find the first derivative of one or all of the eigenvectors together with the second derivative of their eigenvalues in a self-adjoint system. If the left- and right-hand eigenvectors are known, the first derivative of the eigenvector corresponding to the largest eigenvalue and the second derivative of the largest eigenvalue may be obtained for a nonself-adjoint system. The 'algebraic' method may be used to find all orders of the derivatives, provided they exist, without requiring the left-hand eigenvectors.
NASA分類NUMERICAL ANALYSIS
レポートNO75A46166
権利Copyright
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/446470


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