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A short note on convergence near a high order zero
Authors:Gaston H. Gonnet
Affiliation:(1) Department of cs Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada
Abstract:
The behaviour of different iteration schemes, when used to find a high order zero, is studied from the point of view of function value reduction. It is found that the ratio between successive function values, for a given scheme, converges to a value for increasing order of the zero.
Keywords:
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