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When the size of a matrix is large special numerical methods are necessary for obtaining eigenvalues and eigenvectors.
In our parallel hybrid DC (PHDC) algorithm, MMM is accelerated by using HSS matrix techniques when the intermediate matrix is large.
The numerical method for solving large sparse linear least-squares estimation problems is tested and found to perform well, even when the n×k design matrix is large (nk="O(108)).
It is expected that the linear system comprising of (7), (8), and (9) is ill-conditioned, especially since the system matrix is large.
The superior convergence behavior of LS type algorithms when the size of the adjustable code matrix is large is the reason for its utilization.
When the value of (sigma) is small, the characteristic length of the matrix is large, which leads to a small density of the fracture network.
Similar(43)
A dynamic system is unstable under the condition that each eigenvalue absolute of the Jacobian matrix is larger than 1.
A possible explanation of this phenomena is that for more microphones, the correlation matrix is larger, which makes the estimation less accurate.
The reason is that the pore radius and the intrinsic permeability in matrix are smaller than that in natural fracture system; thus, from the formula introduced in 2.2 we know that the Klinkenberg factor b in matrix is larger, resulting in more significant influence of Klinkenberg effect.
Two segments are similar if the percentage of their similar residues, obtained by using pair-wise global sequence alignment with PAM250 score matrix, is larger than a chosen number r and when p-value is lower than 0.05.
This effect is more pronounced at the interface with Si since the difference in CTE with the matrix is larger (∼20 × 10−6 K−1 [26] ) than for the case between aluminides and matrix (∼10 12 × 10−6 K−10−66] ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com