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And this is showing that computation in, basically, block matrix.
We reimplement the scattering matrix calculation for GPUs with a block matrix inversion algorithm that only uses accelerator memory.
This paper presents an alternative reanalysis algorithm based on the block matrix to address problems with local modifications.
Granularity is substantially refined as block matrix operations are carried out in a true element-wise approach.
A compact block matrix formulation allowing fast construction of the g-function of a ground heat exchanger is presented.
Spectral Group Synchronization is a commonly used, robust algorithm for solving group synchronization problems, which relies on diagonalization of a block matrix whose blocks are matrix representations of the measured pairwise differences.
The balancing equations for the gravitational and spring elastic energies are developed using a stiffness block matrix, which represents interacting potential energies between the links.
Indeed, strong inherent data dependency and high memory bandwidth demanded by block matrix operations render naive adoptions of existing sequential BILU algorithms extremely inefficient on GPGPUs.
According to the interrelation between gravitational and elastic stiffness block matrix, the general criteria of the admissible spring configuration are obtained.
One interesting result is that the popular two-dimensional block matrix layout necessarily results in significantly longer running times than simpler one-dimensional schemes.
The main idea is to arrange the original matrix into an (arbitrary) 2×2 block matrix, and consider an LU preconditioner obtained by approximating the corresponding Schur complement.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com