• 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}
}
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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