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Numerical Algorithms
Erschienen in: Numerical Algorithms 4/2021

24.03.2021 | Original Paper

Numerical study on Moore-Penrose inverse of tensors via Einstein product

verfasst von: Baohua Huang

Erschienen in: Numerical Algorithms | Ausgabe 4/2021

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Abstract

The notation of Moore-Penrose inverse of matrices has been extended from matrix space to even-order tensor space with Einstein product. In this paper, we give the numerical study on the Moore-Penrose inverse of tensors via the Einstein product. More precisely, we transform the calculation of Moore-Penrose inverse of tensors via the Einstein product into solving a class of tensor equations via the Einstein product. Then, by means of the conjugate gradient method, we obtain the approximate Moore-Penrose inverse of tensors via the Einstein product. Finally, we report some numerical examples to show the efficiency of the proposed methods and testify the conclusion suggested in this paper.
Vorheriger Artikel α-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation

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Metadaten
Titel
Numerical study on Moore-Penrose inverse of tensors via Einstein product
verfasst von
Baohua Huang
Publikationsdatum
24.03.2021
Verlag
Springer US
Erschienen in
Numerical Algorithms / Ausgabe 4/2021
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-021-01074-0

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