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| 分块矩阵g-逆的块独立性 | |
| 引用本文： | 郭文彬,刘永辉,魏木生. 分块矩阵g-逆的块独立性[J]. 数学学报, 2004, 47(6): 1205-121. DOI: cnki:ISSN:0583-1431.0.2004-06-020 |
| 作者姓名： | 郭文彬 刘永辉 魏木生 |
| 作者单位： | 1. 华东师范大学数学系,上海,200062;聊城大学数学科学学院,聊城,252059 2. 华东师范大学数学系,上海,200062;枣庄学院数学系,枣庄,277160 3. 华东师范大学数学系,上海,200062 |
| 基金项目： | 国家自然科学基金资助项目(10371044)，上海市重点学科建设资助项目 |
| 摘 要： | 本文研究分块矩阵g-逆的块独立性,得到两个和三个复矩阵块独立的充分 必要条件,并揭示了不同定义下的块独立性定义之间的联系. |
| 关 键 词： | 块独立 g-逆 Q-SVD |
| 文章编号： | 0583-1431(2004)06-1205-08 |
On the Block Independence in g-Inverses of Block Matrices |
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| Wen Bin GUO. On the Block Independence in g-Inverses of Block Matrices[J]. Acta Mathematica Sinica, 2004, 47(6): 1205-121. DOI: cnki:ISSN:0583-1431.0.2004-06-020 | |
| Authors: | Wen Bin GUO |
| Affiliation: | Wen Bin GUO(Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China) (Department of Mathematical Science, Liaocheng University, Liaocheng 252059, P. R. China)Yong Hui LIU(Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China) (Department of Mathematics, Zaozhuang College, Zaozhuang 277160, P. R. China)Mu Sheng WEI (Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China) |
| Abstract: | This paper studies the block independence in g-inverses of block matrices. We derive the necessary and sufficient conditions of block independence in g-inverses of two and three complex matrices, and reveal the relations between the definitions of block independence. |
| Keywords: | Block independence g-inverse Q-SVD |
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