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Considering u fixed, compute f i 1 and f i 2 by using formula (3.2); Considering f i 1 and f i 2 fixed, update u by using the iterative schemes of minimization problem (3.3).
While the concept of a fixed sized circular buffer database is an ideal format for storing time series data elements of the design of rrdtool, (especially the concept of a fixed update schedule and a heavy reliance upon IO) are a poor foundation for a scalable, elastic monitoring tool.
That is, we minimize the energy functional E by alternating the following steps: (1) Considering u fixed, compute f i 1 and f i 2 by using formula (3.2); (2) Considering f i 1 and f i 2 fixed, update u by using the iterative schemes of minimization problem (3.3). .
Therefore, instead of using a fixed update period, the IMAP is updated both periodically and opportunistically as follows PeriodicUpdateInterval = δ *Periodic.
Another contribution of the present article is a new algorithm based on a N R search for local extrema which has quadratic convergence, i.e. being much faster than the algorithms proposed in[12, 19, 20] which used a steepest ascend method with fixed update step.
