Relative perturbation theory. IV: \(\sin 2\theta\) theorems (Q1567544)
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scientific article; zbMATH DE number 1462175
| Language | Label | Description | Also known as |
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| English | Relative perturbation theory. IV: \(\sin 2\theta\) theorems |
scientific article; zbMATH DE number 1462175 |
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Relative perturbation theory. IV: \(\sin 2\theta\) theorems (English)
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28 June 2001
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[For part III see ibid. 266, 337-345 (1997; Zbl 0917.15011).] This Part IV of the author's investigation gives analogies of the double-angle theorems of \textit{C. Davis} and \textit{W. Kahan} [SIAM J. Numer. Anal. 7, 1-46 (1970; Zbl 0198.47201)] in the case of multiplicative perturbations, applicable in cases of eigenspaces of any dimensions. These new theorems for the Hermitian eigenproblem and for the singular value problem give upper bounds invariant under rescaling.
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double-angle theorems
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multiplicative perturbations
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Hermitian eigenproblem
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singular value problem
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