| 矩阵方程AX=XB的HERMITE解 |
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| 引用本文： | 刘光荣.矩阵方程AX=XB的HERMITE解[J].湖南师范大学教育科学学报,1995(2). |
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| 作者姓名： | 刘光荣 |
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| 作者单位： | 湖南教育学院数学系 长沙 |
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| 摘 要： | 本文给出了矩阵方程有Hermite解,Hermite半正定解和Hermite正定解的必要且充分条件,并给出了解的表达式。
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| 关 键 词： | Jordan向量 Hermite解 正定 |
HERMITIAN SOLUTIONS TO THE MATRIX EQUATION AX=XB |
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| Liu Guangrong.HERMITIAN SOLUTIONS TO THE MATRIX EQUATION AX=XB[J].Journal of Educational Science of Hunan Normal University,1995(2). |
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| Authors: | Liu Guangrong |
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| Abstract: | In this paper the author gives a necessary and sufficient condition for the existence of a Hermitian solution,positive semidefinite Hermitian Solution and positive definite Hermitian solution of the matrix equation AX=XB. He also gives the expressions of the solutions. |
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| Keywords: | jordan vector hermition solution positive definite |
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