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《Mathematica Numerica Sinica》 1980-02
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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.
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