| 结构J-对称矩阵特征值问题的算法 |
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| 引用本文： | 谭云.结构J-对称矩阵特征值问题的算法[J].青岛职业技术学院学报,2007,20(3):71-73. |
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| 作者姓名： | 谭云 |
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| 作者单位： | 青岛职业技术学院,信息学院,山东,青岛,266555 |
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| 摘 要： | 本文给出了计算结构J-对称矩阵特征值的算法。这些算法以Van Loan的平方约化方法和Cullum与Willoughby提出的计算复对称三对角矩阵特征值的QL过程为基础,利用了J-对称矩阵的特殊结构,可以节省计算量和存储量。
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| 关 键 词： | J-对称阵 J-反对称阵 复对称阵 复反对称阵 复正交阵 复辛阵 |
| 文章编号： | 1672-2698（2007）03-0071-03 |
| 修稿时间： | 2007-05-29 |
Algorithms for Structured J-Symmetric Eigenvalue Problems |
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| TAN Yun.Algorithms for Structured J-Symmetric Eigenvalue Problems[J].Journal of Qingdao Vocational and Technical College,2007,20(3):71-73. |
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| Authors: | TAN Yun |
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| Institution: | School of Information, Qingdao Technical College,Qingdao,Shandong 266555 |
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| Abstract: | Algorithms for computing eigenvalues of structured Jsymmetric matrices are presented.Based on an analog of Van Loan's square reduced method for Hamiltonian matrices and a QL procedure proposed by Cullum and Willoughby for computing eigenvalues of complex symmetric tridiagonal matrices,these algorithms are structure-preserving,and hence the cost of computation and storage is reduced. |
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| Keywords: | J-symmetric J-skew-symmetric complex symmetric complex skew-symmetric complex orthogonal complex symplectic |
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