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The Generalized Fermat Problem (in the plane) is: given n≥3 destination points find the point x̄∗ which minimizes the sum of Euclidean distances from x̄∗ to each of the destination points.The Weiszfeld iterative algorithm for this problem is globally convergent, independent of the initial guess. Also, a test is available, à priori, to determine when x̄∗ a destination point. This paper generalizes...