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We propose a new practical algorithm for computing the Feigenbaum constants{\alpha} and {\delta}, having significantly lower time and space complexitythan previously used methods. The algorithm builds upon well-known linearalgebra techniques, and is easily parallelizable. An implementation of it hasbeen developed and used to determine both constants to 10,000 decimal places.

An efficient method for the computation of the Feigenbaum constants to high precision