| Stein方程的线性变换解法 |
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| 引用本文： | 贾利新. Stein方程的线性变换解法[J]. 电子科技大学学报(社会科学版), 2004, 0(4) |
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| 作者姓名： | 贾利新 |
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| 作者单位： | 中国人民解放军信息工程大学电子技术学院 郑州450004 |
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| 摘 要： | 利用线性变换及方阵Jordan标准型的方法,给出了Stein矩阵方程存在唯一解的充分必要条件以及解的形式。采用的方法是初等的,所得的结果比已有结论丰富。该方法也可用来研究一般域上的矩阵方程,从而为研究密码学基础理论提供一种新方法。
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| 关 键 词： | 矩阵 Jordan标准型 Stein方程 线性变换 |
Linear Transformation Approach for Stein Equation |
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| Jia Lixin. Linear Transformation Approach for Stein Equation[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 2004, 0(4) |
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| Authors: | Jia Lixin |
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| Abstract: | Using the linear transformation method, this paper gives the necessary and sufficient conditions for Stein equation to have unique solution .The unique solution is also obtained. The method in this paper is elementary and the results are richer than the conclusion quoted from the references of this pojoer. The method in this paper can also be used to deal with mtrix equations on general field, which supplies a new method to cryptography. |
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| Keywords: | matrix Jordan form Stein equation linear transformation |
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