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Exact(12)
Matrix size for the CT acquisition was 512 × 512 pixels with a 50 cm field of view.
The matrix size for all reconstructions was 168 × 168 voxels, resulting in isotropic voxels of 4.07 × 4.07 × 4.07 mm.
The tuning parameters include the matrix size for the low-level matrix multiplication, loop unrolling factors, crossover points for different matrix-multiplication implementations, the minimum size for matrices to be transposed, or blocking sizes for the last-level cache.
The main effect of noise, and therefore basic SNR in tissue without susceptibility artifact, is the consequence of different bandwidth and image matrix size for the different acquisition techniques – see Figure 7 legend for details.
BOLD-based [35] functional MRI volumes were collected using an optimized segmented T2*-weighted segmented gradient echo echoplanar imaging (19.2 cm field of view with 64×64 matrix size for an in-plane resolution of 3 mm, repetition time (TR) = 1 s with two segments/plane for a volume acquisition time of 2 s, time to echo (TE) = 15 ms, flip angle (FA) = 45 deg, navigator-corrected).
The matrix size for Monte Carlo simulation (the forward problem) was 186 × 135 × 260 with an isotropic voxel size of 0.18 mm.
Similar(48)
In our implementation, the FMM for the biharmonic equation is faster than direct matrix vector product for a matrix size of 550 for a relative L2 accuracy ϵ2 = 10−4, and N = 3550 for ϵ2 = 10−12.
The optimum sub-matrix size for the block Schur algorithm on CRAY Y-MP C98 supercomputer is also suggested.
Other parameters were: 3 cm field of view, 128 × 128 matrix size, eight (for T2-WI) and four (for T1-WI) averesultingsulting in a total scan time of approximately 2.4 and 4.5 minutes, respectively.
In this paper, an algorithm is proposed for stage 2. For a range of practical examples from chemical process engineering, it is shown that the proposed algorithm substantially reduces the block frontal matrix size and, for sufficiently large problems, this can lead to significant reductions in the factorization times when the row-by-row frontal method is implemented in parallel.
In the present work, the optimized matrix size and σ for the processed images are 6 × 6 and 1, respectively.
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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