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| 除环上矩阵乘积广义逆的逆序律 | |
| 引用本文： | 刘玉. 除环上矩阵乘积广义逆的逆序律[J]. 数学的实践与认识, 2005, 35(5): 187-189 |
| 作者姓名： | 刘玉 |
| 作者单位： | 韩山师范学院数学与信息技术学院,广东,潮州,521021 |
| 摘 要： | 给出了除环上矩阵对的一种等价分解,从而分别导出了A( n) {1 }…A( 1) {1 } (A1) …A( n) ) {1 }及A( n) {1 ,2 }…A( 1) {1 ,2 } (A1) …A( n) ) {1 ,2 }的等价条件. |
| 关 键 词： | 除环 矩阵 广义逆 逆序律 |
| 修稿时间： | 2004-07-06 |
Reverse order Law for Generalized Inverses of Products of Matrices over Divison Rings |
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| LIU Yu. Reverse order Law for Generalized Inverses of Products of Matrices over Divison Rings[J]. Mathematics in Practice and Theory, 2005, 35(5): 187-189 | |
| Authors: | LIU Yu |
| Abstract: | In this article, we obtain a kind eguivalent decomposition, and derive equivalent conditions for A (n) {1} … A (1) {1}(A (1) … A (n) ){1} and A (n) {1, 2} … A (1) {1, 2}(A (1) … A (n) ){1, 2}, respectively. |
| Keywords: | divison ring matrix generaliged inverse reverse order law |
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