The sensitivity of the W-weighted Drazin inverse solution of the restricted matrix equation
Jie Sun, Guorong Wang · Journal of Shanghai Normal University · 2006
A Cramer rule for the W-weighted Drazin inverse solution of the general restricted matrix equation WAWX■B■=D,R(X)■R[(AW)~(k_1),N(X)■N[■B)~k_2]was given in[Appl.Math.Comput.154(2004) 415].In our paper,we study the sensitivity of the W-weighted Drazin inverse solution of the above matrix equation 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.