| 随机正交辛阵的性质和构造方法 |
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| 引用本文： | 闫庆友,赵晶.随机正交辛阵的性质和构造方法[J].大连理工大学学报,2002,42(1):21-25. |
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| 作者姓名： | 闫庆友 赵晶 |
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| 作者单位： | 1. 大连理工大学,应用数学系,辽宁大连,116024
2. 大连大学,信息学院,辽宁大连,116622 |
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| 基金项目： | 国家重点基础研究专项基金资助项目 ( G19990 32 80 5 ) |
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| 摘 要： | 分析讨论了正交辛矩阵的性质；研究了现有两种构造随机正交辛矩阵算法的特点；给出了一种构造完全随机的正交辛矩阵的数值实现方法，该完全随机的正交辛矩阵在求解Hamilton矩阵的保结构算法的数值试验中有重要用途。
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| 关 键 词： | 特征问题 稳定性 哈密顿矩阵 有效性 随机正交辛矩阵 构造方法 数值方法 |
| 文章编号： | 1000-8608(2002)01-0021-05 |
Properties of random symplectic matrices and methods to construct random symplectic orthogonal matrices |
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| YAN Qing you ,ZHAO Jing.Properties of random symplectic matrices and methods to construct random symplectic orthogonal matrices[J].Journal of Dalian University of Technology,2002,42(1):21-25. |
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| Authors: | YAN Qing you ZHAO Jing |
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| Institution: | YAN Qing you 1,ZHAO Jing 2 |
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| Abstract: | The properties of symplectic orthonogal matrices are studied and the characters of the methods used in recent publications for constructing random symplectic matrices are analyzed in this paper. And a numerical algorithm for constructing a random symplectic orthogonal matrix is put forward. The random symplectic orthogonal matrix contains n 2 free parameters and is very useful in testing the structure preserving algorithm for Hamiltonian eigenvalue problems. |
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| Keywords: | symplectic orthogonal matrix eigenproblem stability Hamiltonian matrix efficiency |
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