| 矩阵方程ATXA=D的广义双对称最小二乘解 |
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| 引用本文： | 刘桂香. 矩阵方程ATXA=D的广义双对称最小二乘解[J]. 苏州科技学院学报(自然科学版), 2004, 21(2): 41-44,49 |
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| 作者姓名： | 刘桂香 |
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| 作者单位： | 扬州教育学院数学系,江苏,扬州,225002 |
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| 摘 要： | 本文利用矩阵的标准相关分解给出了矩阵方程A^TXA=D在SRp^nxn上最小二乘解的通式。
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| 关 键 词： | 矩阵方程 广义双对称矩阵 标准相关分解 最小二乘解 |
| 文章编号： | 1672-0687(2004)02-0041-04 |
Least-Squares Solutions of the Matrix Equation ATXA=D in Generalized Bisymmetric Matrix Set |
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| LIU Gui-xiang. Least-Squares Solutions of the Matrix Equation ATXA=D in Generalized Bisymmetric Matrix Set[J]. Journal of University of Science and Technology of Suzhou, 2004, 21(2): 41-44,49 |
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| Authors: | LIU Gui-xiang |
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| Abstract: | By applying the canonical correlation decomposition of matrix pairs,we obtain a general expression of the least squares solutions of the matrix equation ATXA=D in generalized bisymmetric matrix set. |
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| Keywords: | matrix equation generalized bisymmetric matrix canonical correlation decomposition least squares solution |
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