约束矩阵方程W-加权Drazin逆解的敏感性

摘要

对于给出了约束矩阵方程WAWX(W)B(W)=D,R(X)(U) R[(AW)k1],N(X)(U)N[((W)B)k2]的Cramer法则.研究上述约束矩阵方程当方程右端项D有扰动时该方程解的敏感性,并得到了该方程在最坏情况下约束矩阵方程解的敏感性的严格上界.%A Cramer rule for the W-weighted Drazin inverse solution of the general restricted matrix equation WAWX(W)B(W) = D,R(X)(U) R[(AW)k1], N(X)(U)N[((W)B)k2] was given in [Appl. Math. Comput. 154(2004)when the elements of the right hand side matrix D of the equation are perturbed, and we obtain a sharp upper bound in the worst case for the sensitivity of the W-weighted Drazin inverse solution of the general restricted matrix equation.