• Corpus ID: 245353566

# A μ-mode BLAS approach for multidimensional tensor-structured problems

@article{Caliari2021AB,
title={A $\mu$-mode BLAS approach for multidimensional tensor-structured problems},
author={Marco Caliari and Fabio Cassini and F. Zivcovich},
journal={ArXiv},
year={2021},
volume={abs/2112.11238}
}
• Published 21 December 2021
• Computer Science, Mathematics
• ArXiv
In this manuscript, we present a common tensor framework which can be used to generalize one-dimensional numerical tasks to arbitrary dimension d by means of tensor product formulas. This is useful, for example, in the context of multivariate interpolation, multidimensional function approximation using pseudospectral expansions and solution of stiﬀ dif-ferential equations on tensor product domains. The key point to obtain an eﬃcient-to-implement BLAS formulation consists in the suitable usage…

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