【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].更多还原

【Abstract】 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更多还原