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Journal Articles Linear and Multilinear Algebra Year : 2022

On tensor tubal-Krylov subspace methods

Alaa El Ichi
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Rachid Sadaka
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In this paper, we will introduce some new tubal-Krylov subspace methods for solving linear tensor equations. Using the well known tensor T-product, we will in particular define the tensor tubal-global GMRES that could be seen as a generalization of the global GMRES. We also give a new tubal-version of the tensor Golub–Kahan algorithm. To this end, we first introduce some new tensor-tensor products and new related algebraic properties. The presented numerical tests compare the two methods and show the efficiency of the proposed procedures.
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hal-04412665 , version 1 (23-01-2024)



Alaa El Ichi, Khalide Jbilou, Rachid Sadaka. On tensor tubal-Krylov subspace methods. Linear and Multilinear Algebra, 2022, 70 (22), pp.7575-7598. ⟨10.1080/03081087.2021.1999381⟩. ⟨hal-04412665⟩
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