Mann Iteration
المؤلف:
Borwein, J. and Bailey, D
المصدر:
Mathematics by Experiment: Plausible Reasoning in the 21st Century. Wellesley, MA: A K Peters
الجزء والصفحة:
pp. 78-7
11-10-2021
1651
Mann Iteration
Mann's iteration is the dynamical system defined for a continuous function ![f:[0,1]->[0,1]](https://mathworld.wolfram.com/images/equations/MannIteration/Inline1.gif)
,
with ![x_0 in [0,1]](https://mathworld.wolfram.com/images/equations/MannIteration/Inline2.gif)
. It can also be written
This iteration always converges to a fixed point of 
.
REFERENCES:
Borwein, J. and Bailey, D. Mathematics by Experiment: Plausible Reasoning in the 21st Century. Wellesley, MA: A K Peters, pp. 78-79, 2003.
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