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| Content Provider | Springer Nature Link |
|---|---|
| Author | Hong, Xiaoli Zheng, Bing Meng, Lingsheng |
| Copyright Year | 2013 |
| Abstract | In this paper, we obtain the multiplicative perturbation bounds for generalized nonnegative polar factor of weighted polar decomposition under the weighted unitarily invariant norm, weighed Frobenius norm and weighted spectral norm, respectively. More sharper bounds than the known ones are also obtained under certain condition. Moreover, new multiplicative perturbation bounds for weighted unitary polar factor are also given under the weighted unitarily invariant norm, which improve the existing multiplicative perturbation bounds. |
| Ending Page | 529 |
| Page Count | 15 |
| Starting Page | 515 |
| File Format | |
| ISSN | 00080624 |
| e-ISSN | 11265434 |
| Journal | CALCOLO |
| Issue Number | 4 |
| Volume Number | 51 |
| Language | English |
| Publisher | Springer Milan |
| Publisher Date | 2013-10-10 |
| Publisher Place | Milan |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Weighted unitary polar factor Weighted polar decomposition Numerical Analysis Miscellaneous inequalities involving matrices Multiplicative perturbation Theory of Computation Generalized nonnegative polar factor Matrix norms, conditioning, scaling |
| Content Type | Text |
| Resource Type | Article |
| Subject | Algebra and Number Theory Computational Mathematics |
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