| 一类矩阵方程的最小秩解及其最佳逼近 |
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| 引用本文： | 林玲. 一类矩阵方程的最小秩解及其最佳逼近[J]. 海南大学学报(自然科学版), 2006, 24(3): 222-225,229 |
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| 作者姓名： | 林玲 |
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| 作者单位： | 广东外语外贸大学,信息科学技术学院,广东,广州,510420 |
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| 摘 要： | 讨论了矩阵方程的最小秩解及其最佳逼近,利用矩阵对的广义奇异值分解,得到了定秩解的解集合;对于最小秩解的解集合Sm,得到了最佳逼近解.
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| 关 键 词： | 矩阵方程 商奇异值分解 极小秩解 |
| 文章编号： | 1004-1729(2006)03-0222-04 |
| 修稿时间： | 2006-03-16 |
The Minimal Rank Solution and Its Best Approximation to A Class of Matrix Equation |
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| LIN Ling. The Minimal Rank Solution and Its Best Approximation to A Class of Matrix Equation[J]. Natural Science Journal of Hainan University, 2006, 24(3): 222-225,229 |
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| Authors: | LIN Ling |
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| Abstract: | Employed the prevalent quotient singular value decomposition of matrix pairs,the set of the solution matrix with prescribed ranks to a class of matrix equation was presented.The expression of the best approximation solution to the set of the minimal rank solution S_m was provided in this paper. |
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| Keywords: | matrix equation quotient singular value decomposition minimal rank solution |
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