| 两类双结构矩阵特征值问题的向后误差 |
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| 引用本文： | 陈超贤,刘新国.两类双结构矩阵特征值问题的向后误差[J].中国海洋大学学报(自然科学版),2006,36(2):229-232. |
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| 作者姓名： | 陈超贤 刘新国 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266071 |
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| 基金项目： | 教育部科学技术研究项目 |
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| 摘 要： | 讨论2类双结构矩阵特征值问题的向后误差公式和上下界。这2类结构矩阵分别是反对称正交阵和反对称反Hamilton阵。使用的主要技术是基于正交辛相似变换。所得结果可看作Tisseur提出的2个待解决问题的回答。
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| 关 键 词： | 反Hamilton阵 反对称阵 正交阵 辛阵 结构向后误差 |
| 文章编号： | 1672-5174(2006)02-229-04 |
| 收稿时间： | 2005-03-18 |
| 修稿时间： | 2005-04-25 |
Backward Errors for Two Kinds of Doubly Structured Matrix Eigenvalue Problems |
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| CHEN Chao-Xian,LIU Xin-Guo.Backward Errors for Two Kinds of Doubly Structured Matrix Eigenvalue Problems[J].Periodical of Ocean University of China,2006,36(2):229-232. |
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| Authors: | CHEN Chao-Xian LIU Xin-Guo |
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| Institution: | Department of Mathematics, Ocean University of China, Qingdao 266071, China |
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| Abstract: | We present formulae and bounds for structured backward errors for two kinds of real doubly structured matrix eigenvalue problems.The structured matrices considered in this paper are skew-symmetric orthogonal and skew-symmetric skew-Hamiltonian matrices,respectively.The technique we used is mainly based on orthogonal symplectic similarity transformations.The results obtained in this paper can be viewed as answers to two open questions raised by Tisseur. |
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| Keywords: | skew-Hamilton skew-symmetric orthogonal symplectic structured backward errorAMS Subject Classifications: 65F15 |
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