| 带有双扰动的矩阵方程AX=B的一般解法及其推广 |
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| 引用本文： | 曲宝库,杨少华.带有双扰动的矩阵方程AX=B的一般解法及其推广[J].河北理工学院学报,2006,28(1):106-108. |
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| 作者姓名： | 曲宝库 杨少华 |
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| 作者单位： | 辽宁大学数学系 辽宁沈阳110036 |
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| 摘 要： | 讨论带有双扰动的矩阵方程AX=B,并且应用总体最小二乘法给出其解的表达形式,同时也用另外一种改进的方法即约束总体最小二乘法来讨论该矩阵方程,并且给出方程的隐型解。
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| 关 键 词： | 总体最小二乘法(TLS) 奇异值分解(SVD) 约束总体最小二乘法(CTLS) |
| 文章编号： | 1007-2829（2006）01-0106-03 |
| 收稿时间： | 2005-04-21 |
| 修稿时间： | 2005年4月21日 |
The General Solution of the Matrix Equation AX = B Involving Two Errors and Its Improved Method |
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| QU Biao-ku,YANG Shao-hua.The General Solution of the Matrix Equation AX = B Involving Two Errors and Its Improved Method[J].Journal of Hebei Institute of Technology,2006,28(1):106-108. |
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| Authors: | QU Biao-ku YANG Shao-hua |
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| Institution: | Department of Mathematics, Liaoning University, Shenyang Liaoning 110036, China |
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| Abstract: | In this paper,the matrix equation AX=B with two errors is discussed.By applying the total least squares,we obtain expression of the solutions of the matrix equation.We also get the implied solution of matrix equation with its improved method:constrained total least squares. |
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| Keywords: | Total least squares singular value decomposition constrained total least squares |
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