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| 块──Cayley-Hamilton定理的一些新的应用 | |
| 引用本文： | 王国荣,仇璘.块──Cayley-Hamilton定理的一些新的应用[J].上海师范大学学报(自然科学版),1998(1). |
| 作者姓名： | 王国荣 仇璘 |
| 作者单位： | 上海师范大学数学系!上海，200234，上海师范大学数学系!上海，200234 |
| 基金项目： | 上海高等学校科技发展基金 |
| 摘 要： | 利用块──Cayley－Hamilton定理得到一类各子块是两两可换的分块阵A的广义逆：加权Moore－Penrose逆、Moore－Penrose逆、Drazin逆及群逆的表达式和计算它们的块有限算法，本算法中需计算一个与给定矩阵的子块同阶的矩阵之逆阵． |
| 关 键 词： | 块──Cayley－Hamilton定理 子块两可换的分块阵 广义逆 加权Moore－Penrose逆 Moore－Penrose逆 Drazin逆 群逆 块有限算法 |
Some New Applications of the Block-Cayley-Hamilton Theorem |
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| Wang Guorong,Qiu Lin.Some New Applications of the Block-Cayley-Hamilton Theorem[J].Journal of Shanghai Normal University(Natural Sciences),1998(1). | |
| Authors: | Wang Guorong Qiu Lin |
| Institution: | Department of Mathematics |
| Abstract: | The Block-Cayley-Hamilton Theorem is utilized to obtain some expressions of theweighted Moore-Penrose inverses, Moore-Penrose inverses, Drazin inverses and group inversesof a class of matrices partitioned into blicks that are commutative in pairs. And the blick finite algorithm for these generalized inverses is also presented. This algorithm only needs to find the inverse of a matrix of the same order as that of the block of the given matrix' |
| Keywords: | Block-Cayley-Hamilton Theorem matrix partitioned into blicks commuting intopans generalized inverse weighted Moors-Penrose inverse Moors-Penrose inverse Drazin inverse group inverse blick finite algorithm |
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