| 一类矩阵反问题的最小二乘逼近解 |
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| 引用本文： | 廖安平,刘宪高.一类矩阵反问题的最小二乘逼近解[J].电工标准与质量,1994(4). |
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| 作者姓名： | 廖安平 刘宪高 |
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| 作者单位： | 湖南大学 |
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| 摘 要： | 通过求得一个特殊的投影算子，给出了在实反对称矩阵类中矩阵反问题的最小二乘解的一般形式，提供了求矩阵反问题的最小二乘解逼近解的数值方法．
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| 关 键 词： | 反对称 实矩阵 最小二乘法 逼近解 奇异值分解 投影算子 |
LEAST-SQUARE APPROXIMATE SOLUTIONS OF A CLASS OF INVERSE PROBLEM OF MATRIX |
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| Liao Anping, Liu Xiaogao.LEAST-SQUARE APPROXIMATE SOLUTIONS OF A CLASS OF INVERSE PROBLEM OF MATRIX[J].Journal of Changsha University of Electric Power(Natural Science Edition),1994(4). |
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| Authors: | Liao Anping Liu Xiaogao |
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| Affiliation: | Hunan University |
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| Abstract: | Through obtaining aspacial projective operator, the general form of the least-square solution of the inverse problem of matrix is given in the real antisymmetry matrices, and the numerical method that finds the least-square optimal approximate solution of the inverse problem of matrix is provided. |
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| Keywords: | Antisymmetry Real matrices Least-square mathods Approximate solution Singlar value decompositionl Projective operator |
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