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For this purpose, we used the simplex algorithm of Nelder and Mead [22].
As above, we used the simplex algorithm with multiple random starting points in the search of the maximum likelihood estimates of the parameters.
In the above likelihood-based analyses, we used the simplex algorithm of Press et al. (1992, Chap. 10) to find the parameter values that maximize the expressions in equations (1) and (2).
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Computer scientists had previously relied on a method using the simplex algorithm to review and order vast stores of information.
The AE hypocenter locations were calculated using the Simplex algorithm and the micro-crack fracture modes were assessed using the MT analysis.
Considering the randomly generated vectors to be equal to, and to be, one solution of the enhanced problem (c.f Section 3) using the simplex algorithm is (5).
The method for studying boundary-placement accuracy limits in e-beam lithography using the simplex algorithm is described in the chapter as well.
The final structure of the chirped mirror was obtained by using the simplex algorithm from the initial structure obtained by the genetic algorithm based on structure generated by a random generator.
The best-fitting model of the source parameters (M o, f c, t g * ) was obtained by iteration from a starting model using the simplex algorithm (Nelder and Mead 1965; Caceci and Cacheris 1984, Numerical Recipes 1998, Chap. 10.4).
We have shown previously how this can be performed by using the simplex algorithm and this paper now extends the approach by augmenting the established simplex method to form a novel hybrid experimental simplex algorithm (HESA) for identifying 'sweet spots' during scouting development studies.
For test scenarios with subcarriers, , and, for each user and and users, respectively, and using the channel model described in Section 5.2 for over 2000 different simulation instances, it was observed that using the simplex algorithm [19] to solve the linear relaxation of (1) with the extra constraints from the lift-and-project led to an integral solution around 13% of simulation cases.
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