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The alternating method, often referred to in optimization and numerical analysis, involves iteratively solving subproblems that alternate between different sets of variables or constraints. This approach is commonly used in algorithms like the Alternating Least Squares (ALS) for recommendation systems or in optimization techniques like the Alternating Direction Method of Multipliers (ADMM). By breaking down complex problems into simpler components, it can effectively converge to a solution. The method relies on the principle of fixing certain variables while optimizing others, allowing for more manageable calculations.

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