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MR1410091 (97h:65035) 65F10 (15A06 65F15 65F35)
Chaitin-Chatelin, F.; Gratton, S. Convergence in finite precision of successive iteration methods under high nonnormality. International Linear Algebra Year (Toulouse, 1995). BIT 36 (1996), no. 3, 455--469.
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