| 双曲矩阵分解修正问题的一些结果 |
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| 引用本文： | 李寒宇,杨虎.双曲矩阵分解修正问题的一些结果[J].数学研究及应用,2013,33(1):35-44. |
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| 作者姓名： | 李寒宇 杨虎 |
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| 作者单位： | 重庆大学数学与统计学院, 重庆 401331;重庆大学数学与统计学院, 重庆 401331 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11201507; 11171361), 重庆市自然科学基金(Grant No.2010BB9215). |
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| 摘 要： | 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.
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| 关 键 词： | hyperbolic matrix factorization hyperbolic QR factorization hyperbolic polar factorization updating problem perturbation analysis. |
| 收稿时间： | 2011/10/8 0:00:00 |
| 修稿时间： | 2012/5/22 0:00:00 |
Some Results on the Problem of Updating the Hyperbolic Matrix Factorizations |
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| Hanyu LI and Hu YANG.Some Results on the Problem of Updating the Hyperbolic Matrix Factorizations[J].Journal of Mathematical Research with Applications,2013,33(1):35-44. |
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| Authors: | Hanyu LI and Hu YANG |
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| Institution: | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P.R.China |
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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. |
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| Keywords: | hyperbolic matrix factorization hyperbolic QR factorization hyperbolic polar factorization updating problem perturbation analysis |
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