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Iterative Convergence

Definition

Iterative convergence describes a process where repeated steps bring a system or calculation closer to a stable, desired outcome. In computational and algorithmic contexts, this refers to a sequence of approximations that progressively refine a solution until it meets a predefined criterion or reaches a fixed point. This method is common in numerical analysis, optimization problems, and certain consensus mechanisms within distributed systems. Each iteration adjusts the state based on previous results, moving towards a final, consistent state.