Eigenvalue and Eigenvector Differential Sensitivity
Differential sensitivity of an eigenvalue is given by the quotient of an infinitesimal change of the eigenvalue λ[F] and an infinitesimal change of a matrix K on which the eigenvalue depends when F = A + BKC . Small-scale robustness is obtained when the differential sensitivity is smalI. A geometrie interpretation of the differential sensitivity of an eigenvalue with respect to a matrix is given in Eq.(32.91).
KeywordsDifferential Sensitivity Frobenius Norm Norm Sensitivity Sensitivity Matrix Outer Product
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