| 矩阵方程X-A~*X~qA=I(q>0)的Hermite正定解 |
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| 引用本文： | 高东杰,张玉海.矩阵方程X-A~*X~qA=I(q>0)的Hermite正定解[J].山东大学学报(理学版),2006(1). |
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| 作者姓名： | 高东杰 张玉海 |
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| 作者单位： | 山东大学数学与系统科学学院 山东济南250100 |
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| 摘 要： | 讨论了矩阵方程X-A*XqA=I(q>0)的Hermite正定解的存在性以及q>1时解的性质和迭代求解的方法,并且证明了0
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| 关 键 词： | 矩阵方程 Hermite正定解 正定解的存在惟一性 |
The Hermitian positive definite solutions of the matrix equation X-A~*X~qA=I(q>0) |
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| GAO Dong-jie and ZHANG Yu-hai.The Hermitian positive definite solutions of the matrix equation X-A~*X~qA=I(q>0)[J].Journal of Shandong University,2006(1). |
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| Authors: | GAO Dong-jie and ZHANG Yu-hai |
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| Abstract: | It is studied that the Hermitian positive definite solutions of the matrix equation X-A~*X~qA=I with q>0.When(q>)1,Some properties of the solutions and the basic fixed point iterations for the equation are discussed in some detail.When 0
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| Keywords: | matrix equation Hemitian positive definite solution iterative method |
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