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- W1519176587 abstract "The departure from normality of a matrix is a real scalar that is impractical to compute if a matrix is large and its eigenvalues are unknown. A simple formula is presented for computing an upper bound for departure from normality in the Frobenius norm. This new upper bound is cheaper to compute than the upper bound derived by Henrici. Moreover, the new bound is sharp for Hermitian matrices, skew-Hermitian matrices and, in general, any matrix with eigenvalues that are horizontally or vertically aligned in the complex plane. In terms of applications, the new bound can be used in computing bounds for the spectral norm of matrix functions or bounds for the sensitivity of eigenvalues to matrix perturbations." @default.
- W1519176587 created "2016-06-24" @default.
- W1519176587 creator A5033231843 @default.
- W1519176587 date "1993-08-01" @default.
- W1519176587 modified "2023-09-24" @default.
- W1519176587 title "A sharp upper bound for departure from normality" @default.
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- W1519176587 doi "https://doi.org/10.2172/10184297" @default.
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