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• W1509647468 abstract "A perturbation theorem on perturbations in the singular-value-decomposition (SVD) truncated matrices and SVD truncated pseudoinverses is presented. The theorem can be applied for sensitivity analysis of any SVD-based algorithm that can be formulated in terms of SVD truncated matrices or/and SVD truncated pseudoinverses. The theorem is applied to an SVD-based polynomial method and an SVD-based direct matrix pencil method for estimating parameters of complex exponential signals in noise. With the theorem, it is simple to show that TLS-ESPRIT, Pro-ESPRIT, and the state space method are equivalent to the direct matrix pencil method to the first-order approximation. >" @default.
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• W1509647468 date "2003-01-13" @default.
• W1509647468 modified "2023-10-18" @default.
• W1509647468 title "A perturbation theorem for sensitivity analysis of SVD based algorithms" @default.
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• W1509647468 doi "https://doi.org/10.1109/mwscas.1989.101875" @default.
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