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| 摘要: |
| 提出了广义行（列）对称矩阵概念，研究了它的满秩分解和奇异值分解，利用这两种分解以及正交相抵，得到3种广义行列对称矩阵Moore-Penrose逆的快速算法，可极大节省其技术量和存储量；推广了相关文献的结果，使其应用范围更广。 |
| 关键词: 广义行列对称矩阵 满秩分析 奇异值分解 正交相抵 Moore-Penrose |
| DOI： |
| 分类号: |
| 基金项目: |
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| The Moore-Penrose Inverse for Generalized Row(Column)Symmetric Matrix |
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GUO Wei
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| Abstract: |
| The concept of generalized row(column)symmetric matrix is given,its full rank decomposition and singular value decomposition are studied.By the two decomposition and orthogonal equivalence,three shortcut counting methods of the Moore-Penrose inverse for generalized row(column)symmetric matrix are obtained,which can dramatically reduce the amount of calculation and save the CPU time and memory,which extend the results of the related references and which spread its application scope. |
| Key words: generalized row(column) symmetric matrix full rank decomposition singular value decomposition orthogonal equialence Moore-Penrose inverse |
