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Extrapolation methods for some singular fixed point sequences
Authors:Naoki Osada
Institution:(1) Nagasaki Institute of Applied Science, 536 Abamachi, 851-01 Nagasaki City, Japan
Abstract:A fixed point sequence is singular if the Jacobian matrix at the limit has 1 as an eigenvalue. The asymptotic behaviour of some singular fixed point sequences in one dimension are extended toN dimensions. Three algorithms extrapolating singular fixed point sequences inN dimensions are given. Using numerical examples three algorithms are tested and compared.
Keywords:AMS(MOS) 65B05  65H10
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