Superlinear convergence refers to a type of convergence in numerical methods where the rate at which a sequence approaches its limit is faster than linear convergence, meaning that the error decreases at a rate proportional to a power greater than one. This implies that as the iterations progress, the accuracy of the approximation improves significantly with each step, especially when close to the solution. Understanding superlinear convergence is essential for evaluating the efficiency and effectiveness of numerical algorithms, particularly those used in root-finding and optimization.
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