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These solvers showed very good results for sparse matrices arising in the FEM and are now applied to the fully populated BEM matrices.
These techniques are based on spectral analysis of particular iteration matrices arising in the derivation and aim at optimizing the convergence performance of the method.
A prototype approach to leverage the bandwidth and computing power of GPUs for these matrix kernel operation is demonstrated resulting in an overall performance of over 110 GFlops/s on the desktop for large matrices and over 38 GFlops/s for sparse matrices arising in real applications.
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Similar matrices arise in lattice-based systems when the equations of motion are solved recursively.
The convex cone of n×n completely positive (CP) matrices and its dual cone of copositive matrices arise in several areas of applied mathematics, including optimization.
Predictor matrices arise in problems of science and engineering where one is interested in predicting future information from previous ones using linear models.
The energy coefficient matrix arising in SEA studies is determined using the direct dynamic stiffness matrix approach.
However, the sensitivity analyses (Appendix AA) suggest that genetics projections are most strongly influenced by variability in the connectivity matrices arising from dispersal of the planktonic phases, and are relatively insensitive to a realistic range of birth and mortality rates.
In general for matrices A arising in optimal transportation and geometric optics the existence of admissible functions is proved in [11].
The computation of eigenvalues and eigenvectors of symmetric tridiagonal matrices arises frequently in applications; often as one of the steps in the solution of Hermitian and symmetric eigenproblems.
Such matrices arise, e.g., in the theory of convolution type equations on finite intervals.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com