Exponential convergence refers to a process in numerical analysis where a sequence or algorithm approaches its limit at a rate proportional to its current distance from the limit. This type of convergence is characterized by the fact that the error decreases exponentially as the number of iterations increases, leading to rapid improvement in accuracy. In the context of numerical methods, exponential convergence indicates that even a small number of iterations can lead to significantly better results, making it an important property in algorithms like Richardson extrapolation.
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