| 矩阵方程sum from k=0 to r( )A~kXB~k=F的解 |
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| 作者单位： | 山东理工大学工程技术学院 山东淄博255000(李红)，山东理工大学数学与信息学院 山东淄博255000(刘同波) |
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| 摘 要： | 讨论矩阵方程sum from k=0 to r( )A~kXB~k=F存在惟一解的充要条件,并给出了两种迭代求解法.
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| 关 键 词： | 矩阵方程 矩阵的直积 迭代方法 |
On Solutions of Matrix Equation sum from k=0 to r( )A~kXB~k=F |
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| Authors: | LI Hong LIU Tong-bo |
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| Institution: | LI Hong1,LIU Tong-bo2 |
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| Abstract: | This paper studies the matrix equation sum from k=0 to r( )A~kXB~k=F,and obtains the necessary and sufficient conditions for the existence and uniqueness of its solution.Constructed are iterative methods for obtaining solutions of the equation |
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| Keywords: | matrix equation Kronecker product of matrix iterative method |
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