哈尔滨工程大学学报2009，Vol.30Issue(9)：1074-1076,3.DOI:10.3969/j.issn.1006-7043.2009.09.020
关于某些特殊分块矩阵的群逆
The group inverse of some special block matrices
摘要
Abstract
Generalized inverses of block matrices are very useful in mathematical theory. They can also be applied in practices ranging from automated control systems, systems theory, probability statistics, mathematical programming and so on. Expressions for the group inverses of block matrices in the form of [A B/C 0] were studied. Let P be an idempotent matrix over the field of complex numbers and matrices A,B,C be in the set {P,PP~* ,PP~*P} , we get 27 classes of block matrices in the form of [A B/C 0] This paper gives the existence conditions and the expressions for the group inverses of the 27 classes of block matrices.关键词
群逆/Drazin逆/幂等矩阵/分块矩阵Key words
group inverse/ Drazin inverse/ idempotent matrix/ block matrix分类
数理科学引用本文复制引用
卜长江,郑金山,赵杰梅..关于某些特殊分块矩阵的群逆[J].哈尔滨工程大学学报,2009,30(9):1074-1076,3.基金项目
黑龙江省自然科学基金资助项目(159110120002). （159110120002）
