| 矩阵方程AXB=C的反对称解 |
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| 引用本文： | 丁斌峰.矩阵方程AXB=C的反对称解[J].高师理科学刊,2010,30(4):15-17,20. |
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| 作者姓名： | 丁斌峰 |
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| 作者单位： | 廊坊师范学院,物理与电子信息学院,河北,廊坊,065000 |
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| 摘 要： | 利用矩阵的广义奇异值分解给出最小二乘问题XT=︱XAXB︱CFmin解的一般表达式,从矩阵的广义奇异值分解和Penrose定理2个方面给出矩阵方程AXB=C存在反对称解的充要条件.
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| 关 键 词： | 矩阵方程 广义奇异值分解 Penrose定理 反对称解 |
Anti-symmetric solution of matrix equationAXB=C |
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| DING Bin-feng.Anti-symmetric solution of matrix equationAXB=C[J].Journal of Science of Teachers＇College and University,2010,30(4):15-17,20. |
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| Authors: | DING Bin-feng |
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| Institution: | DING Bin-feng(School of Physics and Electronics Information,Langfang Teachers College,Langfang 065000,China) |
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| Abstract: | By using generalized singular value decomposition of the matrix,the general expression of elution to the least squares problem X T=︱XAXB︱CF min was given,and sufficient and necessary conditions for the existence of anti-symmetric solution to the problem for matrix equation AXB = Cwas got by using generalized singular value decomposition and Penrose theorem. |
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| Keywords: | matrix equation generalized singular value decomposition Penrose theorem anti-symmetric solution |
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