| 线性流形上矩阵的条件最佳逼近 |
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| 引用本文： | 胡瑞平.线性流形上矩阵的条件最佳逼近[J].应用数学与计算数学学报,1999,13(2):83-86. |
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| 作者姓名： | 胡瑞平 |
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| 作者单位： | 湖北教育学院数学系!武汉，430060 |
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| 摘 要： | 设Ai，Bi，Gi为给定的矩阵，i＝1，2，S为||A1XB1－C1||2F＋||A2XB2－C2||2F＝min的解集，在给定矩阵X0的条件下，求X∈S；使得本文利用6]的结果给出了X的表达式．
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| 关 键 词： | 矩阵 条件最佳逼近 线性流形 |
The Conditional Best Approximation of Matrix on the Linear Mainfold |
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| DUANPIN HU.The Conditional Best Approximation of Matrix on the Linear Mainfold[J].Communication on Applied Mathematics and Computation,1999,13(2):83-86. |
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| Authors: | DUANPIN HU |
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| Abstract: | Suppose Ai, Bi and Ci are constant matrix, i = 1, 2, S is set of solution of the ||A1XB1-C1||2F || A2XB2-C2||2F=min. Let Xo is determinate matrix, seatch X in S, such that||X - Xo||F=In this paper, we obtain that the expression of above problem by using results in 6]. |
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| Keywords: | matrix conditional best approximation linear mainfold |
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