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Article Dans Une Revue Numerical Algorithms Année : 2020

Tensor extrapolation methods with applications

F. Beik
  • Fonction : Auteur
A. El Ichi
  • Fonction : Auteur
R. Sadaka
  • Fonction : Auteur

Résumé

In this paper, we mainly develop the well-known vector and matrix polynomial extrapolation methods in tensor framework. To this end, some new products between tensors are defined and the concept of positive definitiveness is extended for tensors corresponding to T-product. Furthermore, we discuss on the solution of least-squares problem associated with a tensor equation using Tensor Singular Value Decomposition (TSVD). Motivated by the effectiveness of some proposed vector extrapolation methods in earlier papers, we describe how an extrapolation technique can be also implemented on the sequence of tensors produced by truncated TSVD (TTSVD) for solving possibly ill-posed tensor equations.

Dates et versions

hal-04413523 , version 1 (23-01-2024)

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F. Beik, A. El Ichi, Khalide Jbilou, R. Sadaka. Tensor extrapolation methods with applications. Numerical Algorithms, 2020, 87 (4), pp.1421-1444. ⟨10.1007/s11075-020-01013-5⟩. ⟨hal-04413523⟩
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