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

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Main Authors: Marco, Caliari, Fabio, Cassini, Franco, Zivcovich
Format: Book
Language:English
Published: Springer 2023
Subjects:
tensor framework
tensor product formulas
Online Access:https://link.springer.com/article/10.1007/s11075-022-01399-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7376
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spelling oai:localhost:PNK-73762023-03-31T04:03:45Z A μ-mode BLAS approach for multidimensional tensor-structured problems Marco, Caliari Fabio, Cassini Franco, Zivcovich tensor framework tensor product formulas CC BY 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 differential equations on tensor product domains. The key point to obtain an efficient-to-implement BLAS formulation consists in the suitable usage of the μ-mode product (also known as tensor-matrix product or mode-n product) and related operations, such as the Tucker operator. Their MathWorks MATLAB®/GNU Octave implementations are discussed in the paper, and collected in the package KronPACK. 2023-03-31T04:03:45Z 2023-03-31T04:03:45Z 2023 Book https://link.springer.com/article/10.1007/s11075-022-01399-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7376 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic tensor framework
tensor product formulas
spellingShingle tensor framework
tensor product formulas
Marco, Caliari
Fabio, Cassini
Franco, Zivcovich
A μ-mode BLAS approach for multidimensional tensor-structured problems
description CC BY
format Book
author Marco, Caliari
Fabio, Cassini
Franco, Zivcovich
author_facet Marco, Caliari
Fabio, Cassini
Franco, Zivcovich
author_sort Marco, Caliari
title A μ-mode BLAS approach for multidimensional tensor-structured problems
title_short A μ-mode BLAS approach for multidimensional tensor-structured problems
title_full A μ-mode BLAS approach for multidimensional tensor-structured problems
title_fullStr A μ-mode BLAS approach for multidimensional tensor-structured problems
title_full_unstemmed A μ-mode BLAS approach for multidimensional tensor-structured problems
title_sort μ-mode blas approach for multidimensional tensor-structured problems
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s11075-022-01399-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7376
_version_ 1761912525606092800
score 8.891145

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