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The equilibrium part of the generalized Ohm's law is solved by direct matrix inversion along the direction of gradients for every Fourier mode in the other two directions, while the nonlinear part is solved iteratively.
Key irradiation embrittlement mechanisms, direct matrix damage, precipitation and element segregation have been considered.
We show that this linear system can be efficiently solved by a least squares direct matrix solver.
The linear system above is solved at each frequency by direct matrix inversion implemented in a C code based on the LU decomposition with partial pivoting and row inter-changes44 implemented in the lapack package from IBM company.
In this work, a method to directly design two-dimensional pulses using the small-tip angle approximation is introduced based on a direct matrix representation.
In this method the number of equivalent dampers is reduced so that the receptance matrix of the damped structure can be obtained economically by a direct matrix method.
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Direct matrix-vector products become prohibitive, since the computational cost increases quadratically with the size of the problem.
Biocomposite matrices with high mechanical strength, high stability, and the ability to direct matrix-specific stem cell differentiation are essential for the reconstruction of lesioned tissues in tissue engineering and cell therapeutics.
where i and j are nodes, w i, j is the weighted directed matrix of human mobility, m i, j = w i, j ∑ w i, j, S i = ∑ j m i, j, and T j = ∑ i m i, j.
These methods are required to employ the direct inverse matrix calculation for the channel frequency response (CFR) matrix in solving the simultaneous equations.
Table 1 shows the order of complexities for the proposed TDE method when using the direct inverse matrix calculation and the low-complexity parallel block inverse matrix algorithm.
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