| 广义Sylvester矩阵方程的局部扰动分析 |
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| 引用本文： | 钟震,段广仁. 广义Sylvester矩阵方程的局部扰动分析[J]. 黑龙江大学自然科学学报, 2008, 25(4) |
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| 作者姓名： | 钟震 段广仁 |
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| 基金项目： | 国家自然科学基金，教育部长江学者和创新团队发展计划 |
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| 摘 要： | 研究了一类广义Sylvester矩阵方程的局部扰动分析问题.首先推导出了一个必要的引理,然后给出了扰动方程的绝对扰动界,进而相对扰动界也相应给出.最后通过数字仿真展示了此扰动界的有效性.
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| 关 键 词： | Sylvester矩阵方程 扰动界 线性系统 灵敏度分析 |
Local perturbation analysis for generalized Sylvester matrix equation |
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| Zhong Zhen,Duan Guangren. Local perturbation analysis for generalized Sylvester matrix equation[J]. Journal of Natural Science of Heilongjiang University, 2008, 25(4) |
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| Authors: | Zhong Zhen Duan Guangren |
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| Abstract: | The local perturbation analysis of a class of generalized Sylvester matrix equation is con-cemed.At first,a necessary lemma is investigated,and thereby the absolute perturbation bounds is giv-en.Then the relative perturbation bounds is also given.It is shown that the perturbation bounds is effec-tive by numerical simulation. |
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| Keywords: | Sylvester matrix equation perturbation bound linear system sensitivity analysis |
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