math
Let {xn} be a sequence converging to á.?
Suppose the errors en = |xn – á|
satisfy en+1< or = Men^2en -1 for some constant M>0. What can be said about the order of convergence?
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Answers
The order of convergence is quadratic. This means that convergence happens faster and faster with each iteration of the sequence. This means that errors decrease at a rate faster than a linear rate, due to the en+1< or = Men^2en -1 condition.