| 体上加边矩阵自反逆的子块的独立性 |
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| 引用本文： | 刘永辉.体上加边矩阵自反逆的子块的独立性[J].曲阜师范大学学报,2004,30(1):27-33. |
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| 作者姓名： | 刘永辉 |
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| 作者单位： | 枣庄师范专科学校数学系 277160，山东省枣庄市，华东师范大学数学系，200062，上海市 |
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| 摘 要： | 给出体上具有相容阶数的三矩阵分解定理 ,该定理是复矩阵QQ -SVD的一般化 .利用该定理 ,获得了体上加边矩阵的自反逆中子块独立的充分必要条件 .
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| 关 键 词： | 体 矩阵分解 加边矩阵 自反逆 块独立 |
ON THE BLOCK INDEPENDENCE IN REFLEXIVE g-INVERSE OF BORDERED MATRICES OVER A SKEW FIELD |
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| LIU Yong-hui.ON THE BLOCK INDEPENDENCE IN REFLEXIVE g-INVERSE OF BORDERED MATRICES OVER A SKEW FIELD[J].Journal of Qufu Normal University(Natural Science),2004,30(1):27-33. |
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| Authors: | LIU Yong-hui |
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| Institution: | LIU Yong-hui~ |
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| Abstract: | A decomposition of triple matrices over a skew field with appropriate sizes is presented. By applying the decomposition theorem, some necessary and sufficient conditions of block independence in reflexive g-inverse of bordered matrices are given. |
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| Keywords: | Skew field matrix decomposition block matrix reflexive g-inverse block independence |
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