A short note on convergence near a high order zero |
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Authors: | Gaston H. Gonnet |
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Affiliation: | (1) Department of cs Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada |
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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. |
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