上海师范大学学报（自然科学版）
上海師範大學學報（自然科學版）
상해사범대학학보（자연과학판）
JOURNAL OF SHANGHAI TEACHERS UNIVERSITY(NATURAL SCIENCES)
2007年
3期
34-39
,共6页
可相乘矩阵%分块矩阵%广义逆%满秩分解
可相乘矩陣%分塊矩陣%廣義逆%滿秩分解
가상승구진%분괴구진%엄의역%만질분해
conformable matrix%partitioned matrix%generalized inverse%full rank factorization
讨论了一类2×2分块矩阵在某些特殊条件下各种各样的广义逆,包括M-P逆,加权M-P逆,群逆,Drazin逆.这些广义逆的表达式都建立在M(2)T,S的基础上,由于它们都是具有相应值域和零空间的{2}逆.
討論瞭一類2×2分塊矩陣在某些特殊條件下各種各樣的廣義逆,包括M-P逆,加權M-P逆,群逆,Drazin逆.這些廣義逆的錶達式都建立在M(2)T,S的基礎上,由于它們都是具有相應值域和零空間的{2}逆.
토론료일류2×2분괴구진재모사특수조건하각충각양적엄의역,포괄M-P역,가권M-P역,군역,Drazin역.저사엄의역적표체식도건립재M(2)T,S적기출상,유우타문도시구유상응치역화령공간적{2}역.
All kinds of generalized inverses including M+,M+XY, Mg and Md of a 2×2 block matrix M = (A B C D)are discussed under some conditions. The representations are all based on M(2)T,S=U(VUM)- 1 V since M+,M+XY,Mg and Md are actually some kinds of { 2 } inverses with corresponding prescribed ranges and null spaces, where U and V are full column rank and full row rank matrices respectively such that R(U) = T, N(V) = S.
