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Figure 8 Reduced computation matrix RS for 8 × 8 multiplication.
Indeed, the determination of matrix W requires complex computation (matrix inversion or non-linear optimization).
In our proposed algorithm, we have assumed the partial product rows of RCMB as reduced computation matrix set (R s).
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Note that we need to allocate RAM memory to variables associated to the computation (matrices, auxiliary variables, topology definition...) apart from the buffers.
For the case where precisely one of the two variance components is full rank (has more SNPs than individuals, as might happen when correcting for family-relatedness and population structure), we have developed a new approach for the LR test in which expensive computations (matrix inverses and determinants) are replaced by cheaper low-rank-update versions of them.
4) Eliminate rotation (distortion) caused by scaling with different values in different directions in the computation of matrix A using (38) 5) Compute the rotation matrix using (15).
As mentioned earlier, the complexity of computing the metric M X ̂ ( i ) depends heavily on computation of matrix P i.
The target allocation procedure is based on minimax strategy computation in matrix games.
The computation of matrix exponential function is a vital step in implementing exponential integrators.
The proof of the next proposition is a straightforward computation of matrix products.
It uses Hadoop for parallel computation of matrix by dividing it into parts.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com