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One possibility is to approximate the product using iterative average consensus[28] as proposed, e.g., in[8] and[29].
Table 1 Number of iterations required to achieve the budget allocation where the competitive equilibrium satisfies power demands and by the iterative algorithm, error tolerance = 0.01, average of 10 simulation runs.
Table 7 Number of iterations and CPU time (seconds) required to achieve the budget allocation where the competitive equilibrium has balanced individual utilities in large-scale problems by the iterative method, difference tolerance = 0.05 and average of 10 simulation runs.
Table 5 Number of iterations required to achieve the budget allocation where the competitive equilibrium has balanced individual utilities by the iterative algorithm, difference tolerance = 0.01 and average of 10 simulation runs.
Table 3 Number of iterations and CPU time (seconds) required to achieve the budget allocation where the competitive equilibrium satisfies power demands in large-scale problems by the iterative method, error tolerance = 0.05 and average of 10 simulation runs.
Then we consider iterative, average and global vulnerability index whose use depends on the considered phenomena.
More robust clusters were produced by the iterative re-clustering procedure as shown by an increase in average pairwise identity and a decrease in variability among clusters at each round (Additional file 5: Figure S3).
Given, compute by the iterative scheme.
Under certain conditions, we discuss the convergence of the iterative sequence generalized by the iterative algorithm.
Finally, we discuss the convergence analysis of iterative sequence generated by the iterative algorithm.
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