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Showing 1 to 3 of 3 for “"normalization condition"”.
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A generalized approach for calculation of the eigenvector sensitivity for various eigenvector normalizations
… sensitivities for eigenvectors with any normalization condition. This new generalized method incorporates the use of normalization condition in the eigenvector sensitivity calculation in a manner similar to the calculation of the eigenvectors themselves. This generalized method also …
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Normalization of Bethe-Saltpeter amplitudes
Two new derivations of the normalization condition for Bethe-Salpeter (bound state) amplitudes are presented. The first derivation is based on charge conservation. The normalization condition obtained is independent of the total charge of the system and, in principle, could be applied to a neutral …
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Sensitivity analysis and approximation methods for general eigenvalue problems
… for efficiency and accuracy. Proper eigenvector normalization is discussed. An improved method for calculating derivatives of eigenvectors is proposed based on a more rational normalization condition and taking advantage of matrix sparsity. Important numerical aspects of this method are also …