In this work, the clustering presented above was based on matrices S computed from whole 250 ns MD trajectories.
To accelerate the computation process of rough set approximations, this paper first presents the boolean matrix representation of the lower and upper approximations in the composite information system, then designs a parallel method for computing approximations based on matrix, and implements it on Multi-GPU.
Based on these matrices, we computed a class difference matrix and a squared Mahalanobis class distance matrix, that is, the squared difference between the two class element values, divided by the average of the two class variances for that particular GLEM element (Nielsen and Danielsen, 2006).
For each panel, an unweighted neighbor-joining (NJ) tree based on a dissimilarity matrix computed using a shared allele index was built using DARwin software (Perrier and Jaquemout-Collet 2006) and the sub-population attributions of the accessions were projected as colors on the tree (Additional file 4: Figure S1 and Additional file 5: Figure S2).
Neighbor Joining trees were produced using the program Neighbor (PHYLIP 3.66) based on a distance matrix computed by Dnadist (PHYLIP 3.66), run under default parameters [51].
The duplicate samples across multiple datasets of cattle were identified and removed based on an IBS matrix computed using PLINK (Purcell et al. 2007).
In this paper a method for computing hyperbolic matrix functions based on Hermite matrix polynomial expansions is outlined.
The observed overlap in the associated SNPs in the two breeds for each trait was computed based on the matrix product between the two incidence matrices.
This technique is based on computing the cross-gramian matrix from the state space representation of the full-order filter in an arbitrary frequency range of operation.
According to the proposed MPC algorithm, the control law is computed based on linear matrix inequality (LMI) at each sampling time by solving convex optimization problem.
