INVARIANT SUBSPACES AND GENERALIZED INVARIANT SUBSPACES (Ⅱ) PERTURBATION THEOREMS
Sun Ji-guang Computing Center, Academia Sinica
In order to approximate the perturbation bounds for invariant subspaces andgeneralized invariant subspaces, we suggest an iterative technique for the solution of the qua-dratic matrix equations which possesses quadratic convergence. Consequendy we obtain the cor-responding perturbation theorems. At the end we give a numerical example.