| Some Results on the Problem of Updating the Hyperbolic Matrix Factorizations |
| Received:October 08, 2011 Revised:May 22, 2012 |
| Key Words:
hyperbolic matrix factorization hyperbolic QR factorization hyperbolic polar factorization updating problem perturbation analysis.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11201507; 11171361) and the Natural Science Foundation Project of CQ CSTC (Grant No.2010BB9215). |
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| Abstract: |
| This paper considers the updating problem of the hyperbolic matrix factorizations. The sufficient conditions for the existence of the updated hyperbolic matrix factorizations are first provided. Then, some differential inequalities and first order perturbation expansions for the updated hyperbolic factors are derived. These results generalize the corresponding ones for the updating problem of the classical QR factorization obtained by Jiguang SUN. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.01.004 |
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