| 矩阵方程X-A~*X~qA=Q(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=Q(q>0)的Hermite正定解[J]. 计算数学, 2007, 29(1): 73-80 |
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| 作者姓名： | 高东杰 张玉海 |
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| 作者单位： | 1. 菏泽学院数学系,山东菏泽,274015
2. 山东大学数学与系统科学学院,济南,250100 |
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| 摘 要： | 本文讨论了矩阵方程X-A*XqA=Q(q>0)的Hermite正定解,给出了q>1时解存在的必要条件,存在区间,以及迭代求解的方法．证明了0
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| 关 键 词： | 矩阵方程 正定解 迭代方法 |
| 修稿时间： | 2005-12-04 |
HERMITIAN POSITIVE DEFINITE SOLUTIONS OF MATRIX EQUATION X - A~*X~qA=Q(q>0) |
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| Gao Dongjie,Zhang Yuhai. HERMITIAN POSITIVE DEFINITE SOLUTIONS OF MATRIX EQUATION X - A~*X~qA=Q(q>0)[J]. Mathematica Numerica Sinica, 2007, 29(1): 73-80 |
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| Authors: | Gao Dongjie Zhang Yuhai |
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| Affiliation: | Gao Dongjie (Department of Mathematics, Heze University, Heze 274015, Shandong, China) Zhang Yuhai (School of Mathematics and System Sciences, Shandong University, Ji'nan 250100, China) |
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| Abstract: | We study the Hermitian positive definite solutions of the matrix equation X -A*XqA = Q with q>0. When q>1, a necessary condition for existence is given and the basic fixed point iterations for the equation are discussed in some detail. When 0
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| Keywords: | Matrix equation positive definite solution iterative method |
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