一类紧凑格式的约束矩阵方程解的Cramer法则(英文)  

A more condensed Cramer rule for solution of the general restricted matrix equation

作　　者：王国荣[1] 方茂中 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《黑龙江大学自然科学学报》2004年第4期11-16,共6页Journal of Natural Science of Heilongjiang University

基　　金：Supported by National Natural Science Foundation of China;Specialized Research Fund for the DoctoralProgram of High Eduction;Science and Technology Foundation of Shanghai; Shanghai Higher Eduction Project(03DZ04)

摘　　要：证明了一类约束矩阵方程 WAWXWBW = D, R(X) ? R[(AW)k1], N(X) ? N[(WB)k?2]有唯一解并给出其解的Cramer法则,其中A ∈ Cm , W ∈ Cn ×n ×m , Ind(AW) = k1, Ind(BW) =k?1, B ∈ Cp , W ∈ Cq , Ind(WA) = k2, Ind(WB) = k?2, and D ∈ Cn , R(D) ? ×pR[(WA)k2], N(D) ? N[(BW)k?1].A more condensed Cramer rule for ?nding the unique W-weighted Drazin inverse solution of a class of restricted matrix equation WAWXWBW = D, R(X) ? R[(AW)k1], f f N(X) ? N[(WB)k?2] f is presented, and the results in [Linear Algebra Appl. 116(1989)27, Appl. Math. Comput.125(2002)303] can be de- duced from this paper . Where A ∈ Cm ×n ,W ∈ Cn , Ind(AW) = k1, B ∈ Cp ×m ×q ,W ∈ Cq , Ind(WB) = k2, and f ×p f ? D ∈ Cn , R(D) ? R[(WA)k2], N(D) ? N[(BW)k?1]. ×p f

关 键 词：紧凑的Cramer法则 W-Drazin逆 约束矩阵方程 指标 

分 类 号：O614[理学—无机化学]