| 用正交投影迭代法求矩阵方程AXA~H=B的Hermite解 |
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| 引用本文： | 李阊,周富照,徐波. 用正交投影迭代法求矩阵方程AXA~H=B的Hermite解[J]. 数学理论与应用, 2013, 0(2): 61-65 |
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| 作者姓名： | 李阊 周富照 徐波 |
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| 作者单位： | 长沙理工大学数学与计算科学学院,长沙410004 |
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| 摘 要： | 本文讨论了矩阵方程AXAH=B的Hermite解及其最佳逼近的正交投影迭代法,证明了算法的收敛性,得到收敛速率的估计式.通过数值试验也检验了算法的有效性.
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| 关 键 词： | Hermite解 正交投影迭代法 极小范数解 |
Orthogonal Projection Iterative Method for the Hermite Solution of Matrix Equation AXA^H = B |
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| Li Chang,Zhou Fuzhao,Xu Bo. Orthogonal Projection Iterative Method for the Hermite Solution of Matrix Equation AXA^H = B[J]. Mathematical Theory and Applications, 2013, 0(2): 61-65 |
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| Authors: | Li Chang Zhou Fuzhao Xu Bo |
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| Affiliation: | (School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410004, China) |
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| Abstract: | In this paper, an orthogonal projection iterative method is given for finding the hermitian solution of the matrix equation AXA^H = B, the convergence of the algorithm is proved, and the convergence rate of the algorithm is estimated. The efficiency of our method is showed by numerical experiments. |
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| Keywords: | Hermitian Solution Orthogonal Projection Iterative Least-norm Solution |
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