Bhatia, Rajendra (1995) Perturbation bounds for the operator absolute value Linear Algebra and its Applications, 226-22 . pp. 639-645. ISSN 0024-3795
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002437...
Related URL: http://dx.doi.org/10.1016/0024-3795(95)00201-2
Abstract
It is shown how to estimate the norms of the derivatives (of all orders) of the map that takes an invertible operator to the positive part in its polar decomposition. Using this, perturbation bounds of any order can be obtained for this map.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 2575 |
| Deposited On: | 08 Oct 2010 06:54 |
| Last Modified: | 16 May 2016 13:33 |
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