On the sensitivity of the spectral projection (Q1765906)

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scientific article; zbMATH DE number 2137788
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English
On the sensitivity of the spectral projection
scientific article; zbMATH DE number 2137788

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    On the sensitivity of the spectral projection (English)
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    23 February 2005
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    The author is applying the theory of condition developed by \textit{J. R. Rice} [SIAM J. Numer. Anal. 3, 287--310 (1966; Zbl 0143.37101)], to define absolute and relative condition numbers of the spectral projection and derives explicit expressions of the condition numbers. Some relations between the condition number of the spectral projection and the condition number of the associated invariant space are presented.
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    condition number
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    spectral projection
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    perturbation expansion
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    perturbation bound
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